The speed of the pendulum at the instant it reaches an angle of 20.6 degrees above the vertical is 3.02 m/s.
A pendulum is a weight suspended from a fixed point that swings back and forth due to the force of gravity.
Based on the given information, we have a pendulum of length 1.06 m and it is released from rest at an angle of 41.2 degrees to the vertical. We need to find the speed of the pendulum at the instant it reaches an angle of 20.6 degrees above the vertical.
To solve this problem, we can use the conservation of mechanical energy. At the highest point of the pendulum's swing, all of its energy is in the form of potential energy, and at the lowest point of its swing, all of its energy is in the form of kinetic energy. Therefore, we can write:
PE_max = KE_min
where PE_max is the potential energy at the maximum height and KE_min is the kinetic energy at the lowest point.
The potential energy of a pendulum is given by:
PE = mgh
where m is the mass of the pendulum, g is the acceleration due to gravity, and h is the height above some reference point.
The kinetic energy of a pendulum is given by:
KE = (1/2)mv^2
where v is the speed of the pendulum.
First, we need to find the vertical height difference between the pendulum's highest and lowest points. To do this, we can use trigonometry:
h = L(1 - cosθ)
where L is the length of the pendulum and θ is the initial angle to the vertical. Substituting the given values, we get:
h = 1.06(1 - cos(41.2°)) = 0.654 m
Next, we can use the conservation of mechanical energy to find the speed of the pendulum at the lowest point of its swing. At this point, all of the potential energy has been converted into kinetic energy, so we can write:
PE_max = KE_min
mgh = (1/2)mv^2
Canceling out the mass, we get:
gh = (1/2)v^2
Solving for v, we get:
v = sqrt(2gh)
where g is the acceleration due to gravity. Substituting the given values, we get:
v = sqrt(2(9.81 m/s^2)(0.654 m)) = 3.78 m/s
Finally, we need to find the speed of the pendulum when it reaches an angle of 20.6 degrees above the vertical. At this point, the pendulum has a potential energy of:
PE = mgh' = mgh cos(20.6°)
where h' is the height of the pendulum at this point. To find h', we can use trigonometry:
h' = L(1 - cosθ')
where θ' is the angle above the vertical. Substituting the given values, we get:
h' = 1.06(1 - cos(20.6°)) = 0.242 m
Substituting the values for h' and solving for the kinetic energy, we get:
KE = PE_max - mgh' = mgh - mgh'
Substituting the known values, we get:
KE = (1 kg)(9.81 m/s^2)(0.654 m) - (1 kg)(9.81 m/s^2)(0.242 m) = 5.11 J
Now, we can solve for the speed at this point:
KE = (1/2)mv^2
5.11 J = (1/2)(1 kg)v^2
v = sqrt((2)(5.11 J)/(1 kg)) = 3.02 m/s
Therefore, The pendulum is moving at a speed of 3.02 m/s when it reaches an angle of 20.6 degrees above vertical.
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A particular star is d = 56.1 light-years (ly) away, with a power output of P = 3.00 x 1026 W. Note that one light-year is the distance traveled by the light through a vacuum in one year. (a) Calculate the intensity of the emitted light at distance d (in nW/m2). nW/m2 (b) What is the power of the emitted light intercepted by the Earth (in kW)? (The radius of Earth is 6.37 x 10 m.) kw What If?
(a) Intensity of emitted light at distance d is approximately 1.95 nW/m². (b) Power of emitted light intercepted by Earth is approximately 3.67 kW.
How did you calculate the intensity of emitted light in part (a)?The intensity of emitted light at distance d was calculated using the inverse square law, which states that intensity is inversely proportional to the square of the distance. I used the equation I = P/(4πd²) to calculate the intensity, where P is the power output of the star and d is the distance to the star.
How did you calculate the power of emitted light intercepted by Earth in part (b)?To calculate the power of emitted light intercepted by Earth, I first calculated the surface area of a sphere with a radius equal to the distance between the Earth and the star. Then, I multiplied the intensity of the emitted light at that distance by the surface area of the sphere to get the total power of emitted light intercepted by Earth.
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A particle was moving in a straight line with a constant acceleration. If the particle
covered 17 m in the 2nd second and 46 m in the 9th and 10th seconds, calculate its
acceleration a and its initial velocity vo.
Answer:
Acceleration (a) = 3 m/s^2
Initial velocity (vo)= 7 m/s.
Explanation:
We can use the equations of motion to solve this problem. Let's start with the second equation of motion:
d = vot + (1/2)at^2
where d is the displacement, vo is the initial velocity, a is the acceleration, and t is the time.
Using this equation for the 2nd second, we have:
17 = vo(2) + (1/2)a(2^2)
17 = 2vo + 2a
Using the same equation for the 9th and 10th seconds, we have:
46 = vo(10) + (1/2)a(10^2) - vo(9) - (1/2)a(9^2)
46 = 10vo + 50a - 9vo - 40.5a
46 = vo + 9.5a
Now we have two equations with two unknowns (vo and a). We can solve for one variable in terms of the other and substitute into the other equation. For example, we can solve the first equation for vo:
2vo = 17 - 2a
vo = (17 - 2a)/2
Now we can substitute this expression for vo into the second equation:
46 = [(17 - 2a)/2] + 9.5a
Solving for a, we get:
a = 3 m/s^2
Now we can use the expression for vo to find its value:
vo = (17 - 2a)/2
vo = (17 - 2(3))/2
vo = 7 m/s
Therefore, the acceleration of the particle is 3 m/s^2 and its initial velocity is 7 m/s.
Answer:
Acceleration (a) = 3 m/s^2
Initial velocity (vo)= 7 m/s.
Explanation:
We can use the equations of motion to solve this problem. Let's start with the second equation of motion:
d = vot + (1/2)at^2
where d is the displacement, vo is the initial velocity, a is the acceleration, and t is the time.
Using this equation for the 2nd second, we have:
17 = vo(2) + (1/2)a(2^2)
17 = 2vo + 2a
Using the same equation for the 9th and 10th seconds, we have:
46 = vo(10) + (1/2)a(10^2) - vo(9) - (1/2)a(9^2)
46 = 10vo + 50a - 9vo - 40.5a
46 = vo + 9.5a
Now we have two equations with two unknowns (vo and a). We can solve for one variable in terms of the other and substitute into the other equation. For example, we can solve the first equation for vo:
2vo = 17 - 2a
vo = (17 - 2a)/2
Now we can substitute this expression for vo into the second equation:
46 = [(17 - 2a)/2] + 9.5a
Solving for a, we get:
a = 3 m/s^2
Now we can use the expression for vo to find its value:
vo = (17 - 2a)/2
vo = (17 - 2(3))/2
vo = 7 m/s
Therefore, the acceleration of the particle is 3 m/s^2 and its initial velocity is 7 m/s.
Explanation:
25.
The sensory hair cells of the semicircular canals convert vibrations into electrical impulses.
O True
False
It is a true statement that the sensory hair cells of the semicircular canals convert vibrations into electrical impulses.
How does sensory hair cells of the semicircular canals convert vibrations?The sensory hair cells located in the semicircular canals of the inner ear are responsible for converting mechanical vibrations caused by head movements into electrical impulses that are then transmitted to the brain for processing. This process helps the body maintain balance and spatial orientation.
The semicircular canals are part of the vestibular system in the inner ear, which plays a crucial role in detecting changes in head position and movement. The sensory hair cells in the semicircular canals are embedded in a gelatinous structure called the cupula, which moves in response to the flow of endolymphatic fluid inside the canals.
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2. A soil was found to have the following water retention characteristics: Water content at -10 kPa (field capacity) = 0.15 kg kg-1; water content at -1500 kPa (wilting point) = 0.06 kg kg-1. The bulk density was found to be 1250 kg m-3. Assume the density of water to be 1000 kg m-3. 2.1 Calculate the plant available water capacity (PAWC), expressing your results in depth units. [2] 2.2 The crop growing in this field has a rooting depth of 40 cm. Calculate the plant available water (PAW) for this crop? [1] 2.3 A farmer irrigated his soil to field capacity then allowed it to dry out so that the PAW was 65% of its original value before he reapplied irrigation. Calculate the volume of water (per hectare of land) that the farmer must apply to raise the soil water content from the depletion level back to field capacity for the rooting depth of the crop.[3
Answer:
Given:
Water content at field capacity = 0.15 kg kg-1
Water content at wilting point = 0.06 kg kg-1
PAWC = Water content at field capacity - Water content at wilting point
PAWC = 0.15 kg kg-1 - 0.06 kg kg-1
PAWC = 0.09 kg kg-1
To convert kg kg-1 to depth units, we need to multiply by the bulk density of the soil, and divide by the density of water.
Bulk density of soil = 1250 kg m-3
Density of water = 1000 kg m-3
PAWC in depth units = (PAWC * Bulk density of soil) / Density of water
PAWC in depth units = (0.09 kg kg-1 * 1250 kg m-3) / 1000 kg m-3
PAWC in depth units = 0.1125 m
So, the Plant Available Water Capacity (PAWC) is 0.1125 m or 11.25 cm.
2.2 Plant Available Water (PAW) for the crop with rooting depth of 40 cm can be calculated as:
PAW = PAWC * Rooting depth
PAW = 0.1125 m * 0.40 m
PAW = 0.045 m or 4.5 cm
So, the Plant Available Water (PAW) for the crop is 0.045 m or 4.5 cm.
2.3 To raise the soil water content from the depletion level back to field capacity for the rooting depth of the crop, the farmer needs to apply water equivalent to the difference between PAW at depletion level and PAWC, per hectare of land.
Given:
PAW at depletion level = 65% of PAWC = 0.65 * 0.1125 m = 0.073125 m
PAWC = 0.1125 m
Volume of water to be applied = (PAWC - PAW at depletion level) * Area of land
Let's assume the area of land is 1 hectare, which is equivalent to 10,000 m^2.
Volume of water to be applied = (0.1125 m - 0.073125 m) * 10,000 m^2
Volume of water to be applied = 0.039375 m * 10,000 m^2
Volume of water to be applied = 393.75 m^3
So, the farmer must apply 393.75 m^3 of water per hectare of land to raise the soil water content from the depletion level back to field capacity for the rooting depth of the crop.
In this problem you will go through a simplified version of Rutherford’s calculation of the size of the gold nucleus. Suppose a piece of gold foil that is 0.010 cm thick and whose area is 1 cm x 1 cm is used in the experiment. It is observed that 99.93% of all -particles go through undeflected. The density of gold is 19,300 kg/m3. Determine the radius of the gold nucleus. Hint: first calculate the total number of gold atoms in the foil
A simplified version of Rutherford’s calculation of the size of the gold nucleus. A piece of gold foil that is 0.010 cm thick and whose area is 1 cm x 1 cm is used in the experiment. It is observed that 99.93% of all particles go through undeflected. The density of gold is 19,300 kg/m3.
Rutherford's experiment involved firing alpha particles (helium nuclei) at a thin sheet of gold foil to study the structure of atoms. Based on the results of this experiment, Rutherford was able to deduce that atoms have a small, dense nucleus at their center.
In this problem, we will go through a simplified version of Rutherford's calculation of the size of the gold nucleus.
First, we need to calculate the total number of gold atoms in the foil. We know that the foil is 0.010 cm thick and has an area of 1 cm x 1 cm, so its volume is
V = thickness x area = 0.010 cm x (1 cm x 1 cm) = 0.010 [tex]cm^{3}[/tex]
The density of gold is 19,300 kg/[tex]m^{3}[/tex], which is equivalent to 19.3 g/[tex]cm^{3}[/tex]Therefore, the mass of the gold foil is
m = density x volume = 19.3 g/[tex]cm^{3}[/tex] x 0.010 [tex]cm^{3}[/tex] = 0.193 g.
The molar mass of gold is 197 g/mol, so the number of gold atoms in the foil is
N = (0.193 g) / (197 g/mol) x (6.022 x [tex]10^{23}[/tex] atoms/mol) = 1.86 x [tex]10^{21}[/tex] atoms
Next, we need to determine the fraction of alpha particles that are deflected by the gold nucleus. We are told that 99.93% of all alpha particles go through undeflected, which means that only 0.07% of the alpha particles are deflected. This is a very small fraction, which suggests that the size of the gold nucleus must be very small compared to the size of the atom.
Assuming that the alpha particles are deflected only by the gold nucleus and not by the electrons, we can use the principle of conservation of momentum to estimate the size of the gold nucleus. When an alpha particle approaches the gold nucleus, it experiences a repulsive electrostatic force that causes it to change direction. The magnitude of this force is given by Coulomb's law
F = k[tex]q_{1}[/tex][tex]q_{2[/tex] / [tex]r^{2}[/tex]
Where k is Coulomb's constant, [tex]q_{1}[/tex] and [tex]q_{2}[/tex] are the charges of the alpha particle and gold nucleus, respectively, and r is the distance between them. Since the alpha particle has a positive charge and the gold nucleus has a positive charge, the force is repulsive.
If we assume that the alpha particle is initially moving directly toward the center of the gold nucleus, then at the point of closest approach, the alpha particle will have a velocity v that is perpendicular to the direction from the alpha particle to the gold nucleus. At this point, the force on the alpha particle will be perpendicular to its velocity, which means that it will change only the direction of the alpha particle's velocity, not its magnitude.
Using conservation of momentum, we can relate the angle of deflection θ to the distance of closest approach r.
m[tex]v^{2}[/tex] / r = k[tex]q_{1}[/tex][tex]q_{2[/tex] / [tex]r^{2}[/tex]
Where m is the mass of the alpha particle. Solving for r, we get
r = k[tex]q_{1}[/tex][tex]q_{2[/tex] / m[tex]v^{2}[/tex]
To estimate the size of the gold nucleus, we assume that the alpha particles are deflected by a single, stationary gold nucleus at the center of the atom. In reality, the gold nucleus is not stationary, but this assumption gives us a rough estimate of its size.
Hence, the alpha particles are undeflected with a probability of 0.9993, we can assume that they do not interact with the gold nucleus and that their path is a straight line through the foil.
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Please help me in this exercise.
A. We can see here that the girl has kinetic energy with respect to the escalator.
B. The kinetic energy doesn't depend on the chosen reference.
What is kinetic energy?Kinetic energy is the energy that an object possesses due to its motion. Any object that is in motion has kinetic energy, which is determined by its mass and velocity. The formula for kinetic energy is KE=1/2mv^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity or speed of the object.
Kinetic energy is a scalar quantity, meaning it has only magnitude and no direction. The unit of kinetic energy is Joules (J) in the International System of Units (SI).
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Please help with the physics problem(single-loop circuits), provide step-by-step solution
Resistance of the resistors, R₁ and R₂ are 80Ω and 200Ω respectively.
V(A) = 12 V
ΔV(B) = 2 V
ΔV(C) = 5 V
R₃ = 200Ω
Since, the total voltage-drop along the upper branch must be 12 V, according to loop rule, the voltage-drop across resistor 3 is 5.0V
So, current through the loop,
I = V(C)/R₃
I = 5/200
I = 25 x 10⁻³A
a) Therefore, the resistance,
R₁ = V(B)/I
R₁ = 2/25 x 10⁻³
R₁ = 80Ω
b) Resistor 2 has the same voltage-drop as resistor 3. So, its resistance, R₂ is 200Ω.
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A 6.47 mm high firefly sits on the axis of, and 12.3 cm in front of, the thin lens A, whose focal length is 5.77 cm. Behind lens A there is another thin lens, lens B, with a focal length of 20.9 cm. The two lenses share a common axis and are 58.1 cm apart.What is the height of this image? Express the answer as a positive number.
A 6.47 mm high firefly sits on the axis of, and 12.3 cm in front of, the thin lens A, whose focal length is 5.77 cm, the height of the image is 2.61 mm.
We can use the thin lens equation to find the image distance and then use the magnification equation to find the height of the image.
Let's call the distance between the firefly and lens A "d1", the distance between the lenses "d2", the image distance from lens B "d3", and the height of the firefly "h1".
Using the thin lens equation for lens A:
1/fA = 1/d1 + 1/d3
Since the firefly is very small, we can assume that the rays of light from it are parallel to the axis of the lenses, so d1 = 12.3 cm.
Solving for d3, we get:
1/d3 = 1/fA - 1/d1
1/d3 = 1/5.77 cm - 1/12.3 cm
d3 = -23.46 cm
The negative value for d3 indicates that the image is formed on the same side of lens B as the firefly, which means it is a virtual image.
Now we can use the magnification equation:
m = -d3/d2
where m is the magnification of the image. The negative sign indicates that the image is inverted.
Using the distance between the lenses, d2 = 58.1 cm, we get:
m = -(-23.46 cm) / 58.1 cm
m = 0.403
This tells us that the image is smaller than the firefly, and its height is:
h2 = m * h1
h2 = 0.403 * 6.47 mm
h2 = 2.61 mm
Therefore, the height of the image is 2.61 mm.
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What is the wavelength of a radar signal that has a frequency of 33 GHz?
Explanation:
For electromagnetic waves c = wavelength * frequency
c = speed of light = 3 x 10^8 m/ s
3 x 10^8 m/s = wl * 33 x 10^9 Hz
wl = .009 m ( or 9 mm)
If a radar signal that has a frequency of 33 GHz, Then the wavelength of the radar signal is 9 mm.
What is wavelength?Wavelength is a fundamental concept in the study of waves, which are disturbances that propagate through space or a medium. It is defined as the distance between two consecutive points in a wave that are in phase, meaning that they have the same position in their respective cycles.
In other words, the wavelength is the spatial period of a wave, which is the distance over which the wave repeats itself. It is commonly represented by the Greek letter lambda (λ) and is measured in meters (m), although it can also be expressed in other units such as nanometers (nm) or micrometers (μm).
Wavelength is a key property of waves, as it determines many of their characteristics and behavior. For example, the wavelength of an electromagnetic wave (such as light or radio waves) determines its color or frequency, and thus its energy and ability to interact with matter. Similarly, the wavelength of a sound wave determines its pitch, and thus its perceived tone and musical quality.
The relationship between wavelength, frequency, and velocity is described by the wave equation, which states that the velocity of a wave is equal to the product of its wavelength and frequency. This relationship is important for understanding how waves behave and interact with their environment, such as when they are reflected, refracted, or diffracted.
So, the wavelength is a crucial concept in the study of waves, as it defines their properties and behavior. It is the distance between two consecutive points in a wave that are in phase, and is measured in meters or other units. The relationship between wavelength, frequency, and velocity is described by the wave equation, which is fundamental to the study of waves in various fields such as physics, engineering, and communication.
Here in the Question,
The wavelength of a radar signal can be calculated using the formula:
wavelength = speed of light/frequency
where the speed of light is approximately 3 x 10^8 meters per second.
Plugging in the given frequency of 33 GHz (33 x 10^9 Hz), we get:
wavelength = 3 x 10^8 / (33 x 10^9)
wavelength = 0.009090909... meters
Therefore, By rounding to the nearest millimeter, the wavelength of the radar signal is approximately 9 mm.
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Jeremy is developing an experiment and is concerned about the accuracy of his data.
Which step can he take to best ensure accuracy?
conduct more trials
compare his results to other scientists’ results
record only the data that matches the correct value
make exact measurements and follow the procedure exactly
Answer:
make exact measurements and follow the procedure exactly
Explanation:
accurate doesn't mean correct. It just means that the results from the experiment are the result of following the procedure
11. A car, starting from rest, accelerates in a straight-line path at a constant rate of 2,5 m/s2 . How far will the car travel in 10 seconds?
(a) 180 m
(b) 30 m
(c) 125 m
(d) 4.8 m
Answer: 125 m
Explanation:
[tex]V_{i}[/tex] = 0
[tex]V_{f}[/tex] = no se conoce
a = 2,5 [tex]\frac{m}{s^{2} }[/tex]
t = 10 s.
d= x no los piden
Formula:
[tex]d=V_{i} .t + \frac{a.t^{2} }{2}[/tex]
Remplazamos:
[tex]d=0.(10) + \frac{2,5.10^{2} }{2}[/tex] = 0 + [tex]\frac{2,5.(100)}{2}[/tex] = 2,5.(50) = 125 m
If each galaxy is 150 kpc across, how long does the event last?
In a galaxy collision, two similar-sized galaxies pass through each other with a combined relative velocity of 1200 km/s
If each galaxy is 150 kpc across, the event lasts for approximately 7.7 billion years.
How long does the event last?To calculate the time for the event, we need to know the distance traveled by the galaxies during the collision. Since each galaxy is 150 kpc across and they are passing through each other, the total distance traveled is twice the diameter of one galaxy, or 300 kpc.
To find the time, we can use the formula:
time = distance / speed
where distance is 300 kpc and speed is 1200 km/s. However, we need to convert the distance to the same units as the speed, so let's convert kpc to km:
1 kpc = 3.086 × 10^16 meters
1 meter = 3.281 × 10^-6 miles
1 mile = 1.609 × 10^3 meters
1 kpc = 3.086 × 10^19 miles
So, 300 kpc is equal to:
300 kpc × 3.086 × 10^19 miles/kpc = 9.258 × 10^21 miles
Now we can plug in the values:
time = distance / speed
time = 9.258 × 10^21 miles / 1200 km/s
time ≈ 2.432 × 10^14 seconds
So the event lasts for approximately 2.432 × 10^14 seconds. To convert to a more meaningful unit, we can divide by the number of seconds in a year:
time ≈ 7.7 billion years
Therefore, the event lasts for approximately 7.7 billion years.
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v=√gr tan 31.0 grados
The banking angle is the angle that the surface makes with the horizontal, or the angle of inclination.
v = √rg tanθ
tanθ=v²/rg
The relation gives the angle of banking of the cyclist going round the curve. Here v is the speed of the cyclist, r is the radius of the curve, and g is the acceleration due to gravity.
The banking angle is the angle that the surface makes with the horizontal, or the angle of inclination. The normal force acting on the car while travelling through such a curving road has a horizontal component. The centripetal force needed to prevent skidding is provided by this component.
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2) The velocity of three particles of masses 20g, 30g and 50g are 2i, 10j and 10k respectively. The velocity of the centre of mass the three particle) is
i need too get them right because me and my friend are challeging each other
2. Hooke saw tiny openings in cork and named them "cells", 3. Schleiden and Schwann discovered that all "organisms" are made of cells, 4. Schleiden and Schwann used microscopes to determine that the cell is the "basic unit" of life, 6. Water - do not mix with lipids, 7. Nucleic acids - contain instructions, 8. Proteins - some help break down nutrients, 9. Lipids - do not mix with water, and 10. Carbohydrates - sugar is one.
Water is a polar molecule, meaning it has a positive and negative end. Because of this polarity, water does not mix well with non-polar substances such as lipids. This property allows lipids to form membranes that can control the movement of substances in and out of cells.
Nucleic acids are large biomolecules that contain instructions for the development, function, and reproduction of all living organisms. The two main types of nucleic acids are deoxyribonucleic acid (DNA) and ribonucleic acid (RNA), which store and transmit genetic information.
Proteins are complex molecules made up of amino acids that perform a variety of functions in the body. Some proteins, called enzymes, help break down nutrients into smaller molecules that the body can use for energy and other processes.
Lipids are a group of biomolecules that are insoluble in water but are soluble in nonpolar solvents. They include fats, oils, and waxes, and are important for energy storage, insulation, and cell membrane structure.
Carbohydrates are biomolecules that contain sugars, such as glucose and fructose. They are an important source of energy for the body and are found in many foods such as fruits, vegetables, and grains.
Therefore, The correct answers are 2. Hooke saw tiny openings in cork and named them "cells", 3. Schleiden and Schwann discovered that all "organisms" are made of cells, 4. Schleiden and Schwann used microscopes to determine that the cell is the "basic unit" of life, 6. Water - do not mix with lipids, 7. Nucleic acids - contain instructions, 8. Proteins - some help break down nutrients, 9. Lipids - do not mix with water, and 10. Carbohydrates - sugar is one.
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e =1.60×10−19C
me=9.11×10−31kg
k=8.99×109N⋅m2/C2
A point charge q = -0.55 nC is fixed at the origin. Where must an electron be placed in order for the electric force acting on it to be exactly opposite to its weight? (Let the y axis be vertical with the positive direction pointing up.)
Answer:
3.33×10^-5 meters above the origin along the positive y-axis
Explanation:
The weight of an object is given by its mass multiplied by the acceleration due to gravity, which is 9.81 m/s² near the surface of the earth. For an electron with mass me, its weight is:
W = me * g
= 9.11×10^-31 kg * 9.81 m/s²
= 8.93×10^-30 N
Since the electric force acting on the electron is opposite to its weight, the electric force must have the same magnitude as its weight but in the opposite direction:
|F_E| = |W| = 8.93×10^-30 N
The electric force between two point charges is given by Coulomb's law:
F_E = k * |q1| * |q2| / r²
where k is the Coulomb constant, q1 and q2 are the charges of the two particles, and r is the distance between them.
In this problem, q1 is the fixed charge of -0.55 nC at the origin, and q2 is the charge of the electron, which we want to find. Since we know the magnitude of the electric force between the two charges, we can solve for the distance between them:
r² = k * |q1| * |q2| / |F_E|
= 8.99×10^9 N⋅m²/C² * 0.55×10^-9 C * |q2| / (8.93×10^-30 N)
= 6.95×10^6 * |q2|
Taking the square root of both sides, we get:
r = 2.64×10^-3 * sqrt(|q2|)
Now, we need to find the distance r at which the electric force between the two charges is equal in magnitude but opposite in direction to the weight of the electron. Equating the expression for r above with the distance y along the y-axis where the electron is placed, we get:
2.64×10^-3 * sqrt(|q2|) = y
Since the electron is placed on the y-axis, its x and z coordinates are zero, and the distance between the electron and the fixed charge is simply the y-coordinate. The electric force between the charges will be attractive (i.e., in the negative y direction), so the direction of the force vector will be opposite to the positive y direction. Therefore, we can write the electric force on the electron as:
F_E = - k * |q1| * |q2| / y²
Setting this equal to the weight of the electron, we have:
k * |q1| * |q2| / y² = |W|
|q2| = |W| * y² / (k * |q1|)
= 8.93×10^-30 N * y² / (8.99×10^9 N⋅m²/C² * 0.55×10^-9 C)
= 1.56×10^-20 * y²
Substituting this expression for |q2| into the expression for r above, we get:
r = 2.64×10^-3 * sqrt(1.56×10^-20 * y²)
= 1.35×10^-11 * y
Equating this expression for r with the expression for y above, we have:
2.64×10^-3 * sqrt(1.56×10^-20 * y²) = y
Squaring both sides and simplifying, we get:
y = 3.33×10^-5 m
Therefore, the electron must be placed at a distance of 3.33×10^-5 meters above the origin, along the positive y-axis, in order for the electric force acting on it to be exactly opposite to its weight.
To summarize, we used Coulomb's law to relate the electric force between the electron and the fixed charge at the origin to the distance between them, and equated this force with the weight of the electron. We then solved for the distance at which the two forces are equal in magnitude but opposite in direction, and found that the electron must be placed 3.33×10^-5 meters above the origin along the positive y-axis.
Hope this helps!
32.
Passive sonar uses underwater microphones called hydrophones.
True
False
Answer:
True
Explanation:
"Passive sonar uses specialized transducers called hydrophones (or underwater microphones) to listen to sounds in the ocean. These hydrophones convert received sounds into electrical signals that are then sent to a computer for a sonar operator to look at, listen to, and analyze."
If the universe were to suddenly begin shrinking rather than continue expanding, how would it affect the cosmic microwave background radiation?
A. It would decrease in temperature.
B. It would blue-shift.
C. It would red-shift.
D. It would increase in temperature.
C. It would red-shift. The cosmic microwave background radiation (CMB) is the leftover radiation from the Big Bang.
What is radiation?Radiation is the process by which energy is emitted from a source and travels through a medium or space. It is a form of energy that can be found in a variety of forms, such as light, heat, and sound. Radiation can also be used to refer to the release of particles or electromagnetic waves from an atomic nucleus during radioactive decay. These particles and waves can be harmful to humans and animals if they are too strong or long lasting. Radiation is also used in medical, industrial, and scientific applications to diagnose and treat diseases, sterilize products, and to provide energy for power plants.
It is composed of a low-energy form of light called microwaves. If the universe were to start shrinking, this microwaves would be stretched out (red-shifted) as the universe gets smaller. This red-shifting would cause the CMB to become less energetic, and therefore decrease in temperature.
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A bag of sand weighing 5kg is suspended from the lower end of a rope. The bag is initially at rest. A 20.0 g bullet is fired at the bag with horizontal velocity of 650 ms¹, strikes the block, and exits with 100 ms. To what vertical height will the block be raised?
3
3
4.
How are the Celsius and Kelvin scales similar in regard to their fiduciary points?
Both align absolute zero with 0.
Both use absolute zero and the triple point of water.
Both use absolute zero and the boiling point of water.
Both use the freezing point and boiling point of water.
B) Both employ the triple point of water and absolute zero.
Absolute zero and the triple point of water serve as the foundation for both the Celsius and Kelvin scales. Absolute zero, or 0 K on the Kelvin scale and -273.15 °C on the Celsius scale, is the temperature at which all matter has no thermal energy.
The triple point of water is determined to be 273.16 K on the Kelvin scale and 0.01 °C on the Celsius scale. It is the temperature and pressure at which water can coexist in all three phases (solid, liquid, and gas) in equilibrium.
Absolute zero and the triple point of water serve as identical fiduciary points for both the Celsius and Kelvin temperature systems. The temperature ranges for each scale are determined by the fiduciary points, which are essential to temperature scales.
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Josh was blowing bubbles through a straw into a glass of tap water. As Josh exhaled into the straw, he blew carbon dioxide gas into the water. The harder he blew, the more bubbles entered the water. The more bubbles, the ______________ the solution gas/water solution.
Responses
Josh was blowing bubbles through a straw into a glass of tap water. As Josh exhaled into the straw, he blew carbon dioxide gas into the water. The harder he blew, the more bubbles entered the water. The more bubbles, the more saturated the solution gas/water solution.
This is because the bubbles increase surface area of gas-water Interface, allowing for more gas molecules to come into contact with water and dissolve. As more gas dissolves, concentration of the gas in the water increases, and the solution becomes more saturated . This effect is known as Henry's law, which states that amount of gas that dissolves in a liquid is directly proportional to the partial pressure of the gas above liquid.
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. If the same quantity of is supplied to P and Q and P has a temperature rise twice that of Q and has a mass that is half of the mass of Q. Find the ratio of the specific heat capacity of P to Q
The ratio of the specific heat capacity of P to Q is 1:2, or cP/cQ = 1/2.
Specific heat is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree Celsius (or one Kelvin). It is a physical property that helps characterize the thermal behavior of materials.
Let's use the formula for heat energy:
Q = mcΔT
where Q is the heat energy supplied, m is the mass of the object, c is the specific heat capacity, and ΔT is the change in temperature.
We can write two equations for P and Q using this formula:
For P: Q = (1/2)mP * cP * 2ΔT
For Q: Q = mQ * cQ * ΔT
We know that both P and Q receive the same amount of heat energy, so we can equate the two equations:
(1/2)mP * cP * 2ΔT = mQ * cQ * ΔT
Simplifying this expression, we get:
cP/cQ = mQ/(2mP)
We are given that P has half the mass of Q, so mP = (1/2)mQ. Substituting this into the expression above, we get:
cP/cQ = mQ/(2(1/2)mQ) = 1/2
Therefore, the ratio of the specific heat capacity of P to Q is 1:2, or cP/cQ = 1/2.
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A pool of water has a rectangular base of 5 m by 10 m and the water is 6 m deep. What is the pressure on the base of the pool taken g = 10m/ss
A 2.99 x 10-6 C charge is moving
perpendicular (90°) to the Earth's
magnetic field (5.00 x 10-5 T). If the
force on it is 2.14 x 10-8 N, how fast is
it moving?
[?] m/s
Velocity (m/s)
Enter
The charged particle is moving at a speed of 1.424 x 10³ m/s.
What is magnetic field?In the vast expanse of space, a magnetic force can be detected within a region known as a magnetic field. This field is generated by either a magnet, an electric charge in motion, or an electric field undergoing change. To visually represent this force, it is depicted through directional field lines which illustrate the direction of the force on an imaginary magnetic pole situated at any point in space.
The intensity of this magnetic field is quantified by its measurement in units called Tesla (T).
Equation:The force on a charged particle moving perpendicular to a magnetic field is given by the equation:
F = Bqv
where F is the force on the charge, B is the magnetic field strength, q is the charge of the particle, and v is its velocity.
Rearranging this equation, we can solve for v:
v = F / (B*q)
Substituting the given values, we get:
v = (2.14 x 10⁻⁸ N) / (5.00 x 10⁻⁵T * 2.99 x 10⁻⁶ C)
v = 1.424 x 10³ m/s
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Answer:142
Explanation: on acellus, and maybe on what ever else you are on, but i do know it's right on acellus!! :)
A current of 1.4A when flowing through a circuit for 15 minutes dissipates 200 KJ of energy calculate (a) the p.d (b) power dissipated and (c) the resistance of the circuit.
When a current of 1.4A when flowing through a circuit for 15 minutes dissipates 200 KJ of energy then he p.d is 158 Volt , Power dissipated and the resistance of the circuit is 222 W and 112Ω resp.
Electric circuit, a channel for carrying electric current. An electric circuit consists of a device that provides energy to the charged particles that make up current, such as a battery or a generator, as well as equipment that consume current, such as lights, electric motors, or computers, and the connecting wires or transmission lines. Ohm's law and Kirchhoff's rules are two fundamental laws that quantitatively define the behaviour of electric circuits.
Given,
Current I = 1.4 A
Energy Dissipated E = 200 kJ
time t = 15 minute = 900s
Power dissipated in the circuit,
P = E/t = 200000/900 = 222 W
Power is a voltage times current,
P =VI
222 = 1.4 × V
V = 158 Volt
according to ohms law
V = RI
R = V/I = 158/1.4 = 112Ω.
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12) The notion of task-appropriate processing implies that if you are preparing for a quiz you
should...
no use of bots . anything bot will be reported
Period, T [tex]\Longrightarrow T=\frac{60}{14} \Longrightarrow T \approx 4.286 \ s[/tex]
Using the equation, [tex]T=2 \pi \sqrt{\frac{l}{g} }[/tex], find l. ("g" is the acceleration from gravity, 9.8 m/s^2)
[tex]T=2 \pi \sqrt{\frac{l}{g} } \Longrightarrow 4.286=2 \pi \sqrt{\frac{l}{9.8} } \Longrightarrow \frac{4.286}{2 \pi} =\sqrt{\frac{l}{9.8} }[/tex]
[tex]\Longrightarrow (\frac{4.286}{2 \pi})^2 =\frac{l}{9.8} \Longrightarrow l =9.8(\frac{4.286}{2 \pi})^2 \Longrightarrow l \approx 4.560 \ m[/tex]
Thus, the radio booth is 4.560 m from the field.
Period, T [tex]\Longrightarrow T=\frac{60}{14} \Longrightarrow T \approx 4.286 \ s[/tex]
Using the equation, [tex]T=2 \pi \sqrt{\frac{l}{g} }[/tex], find l. ("g" is the acceleration from gravity, 9.8 m/s^2)
[tex]T=2 \pi \sqrt{\frac{l}{g} } \Longrightarrow 4.286=2 \pi \sqrt{\frac{l}{9.8} } \Longrightarrow \frac{4.286}{2 \pi} =\sqrt{\frac{l}{9.8} }[/tex]
[tex]\Longrightarrow (\frac{4.286}{2 \pi})^2 =\frac{l}{9.8} \Longrightarrow l =9.8(\frac{4.286}{2 \pi})^2 \Longrightarrow l \approx 4.560 \ m[/tex]
Thus, the radio booth is 4.560 m from the field.
Which of the following is not an application of ultrasonic waves?
acoustic amplification
medical imaging
O echolocation
nondestructive testing
Acoustic amplification is not an application of ultrasonic waves.
What are Ultrasonic waves used for?Ultrasonic waves are used in many different applications such as medical imaging, where they are used to create images of the internal structures of the human body.
Echolocation, which is used by animals such as bats and dolphins to navigate their environment, also relies on the use of ultrasonic waves. Additionally, ultrasonic waves are used in nondestructive testing to detect flaws or defects in materials without damaging them.
Acoustic amplification, on the other hand, involves the use of sound waves to amplify or enhance the sound produced by a musical instrument or a speaker. It does not involve the use of ultrasonic waves.
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The Mako rollercoaster at Sea World has a starting drop of 61m from the ground. What is the velocity of the 500kg passenger cart if it passes over a second hump that is 20m off the ground?
f q1 has the same magnitude as before but is negative, in what region along the x-axis would it be possible for the net electric force on q3 to be zero? (a) x , 0 (b) 0 , x , 2 m (c) 2 m , x