Question 58
Which of the following numbers correctly express "thirty two micro meter" in scientific notation?
3.2 x 10-7 m
3.2 x 10-6 m
C) 3.2 x 10.⁹ m
3.2 x 10-8 m
3.2 x 10-5 m

Answer:

Even your pencil and a piece of paper attract one another. You can't feel this force because the masses of the pencil and paper are so small. Even you exert a gravitational force on other objects. Because your mass is so much less than the mass of the Earth, you can't feel your gravitational force.

In simple word gravitational force is directly proportional to weight of and objects and indirectly proportional to distance.

F=G(m1 x m2) /r^2

F = force

G = gravitational constant

m_1 = mass of object 1

m_2 = mass of object 2

r = distance between centers of the masses

Answer:

Below

Explanation:

Usually, position is given by   x(t) =.......

 if x^2 = 3t^2 - 16t+ 8      then

    x = ( 3t^2 - 16t + 8)^1/2            ( I do not think this is what you want....but it IS what was posted)

    Velocity will be given by the derivative :   (3t-8)  / ( 3t^2-16t+ 8)^1/2

       at t = 4   this equals an imaginary number....

                            so I think your question equation is incorrect

The answer above this one used    x(t) = 3t^2-16t+8 as the position function and is likely the correct way to do it

  then velocity = dx/dt = 6t-16      at t = 4 this is 8

            the particle is stationary when this = 0 at t = 16/6 = 2.67 s   (NOT 4s as posted in the other 'verified' answer !!!!!)

   Acceleration = dv/dt = 6    

 at t= 4 the velocity would be 8  units/s    

            and the accel would be 6  units/s^2

  and when v= 0 would occur at t = 2.67 s

a) The frequency that the driver of the car observes as the police car approaches is calculated by using the Doppler effect.

The frequency of the sound wave is increased as the source of the sound (the police car) approaches the observer (the driver of the car). The frequency observed by the driver of the car is given by:

f_observed = f_source * (v_source + v_observer) / (v_source - v_observer)

Substituting the given values, we get:

f_observed = 2400 * (38 + 23) / (38 - 23) = 4860 Hz (to the nearest integer).

b)  The frequency of the sound wave is decreased as the source of the sound (the police car) moves away from the observer (the driver of the car). The frequency observed by the driver of the car is given by:

f_observed = f_source * (v_source - v_observer) / (v_source + v_observer)

Substituting the given values, we get:

f_observed = 2400 * (38 - 23) / (38 + 23) = 1380 Hz (to the nearest integer).

c)The frequency of the sound wave is decreased as the source of the sound (the police car) approaches the observer (the driver of the car). The frequency observed by the driver of the car is given by:

f_observed = f_source * (v_source - v_observer) / (v_source + v_observer)

Substituting the given values, we get:

f_observed = 2400 * (38 - 23) / (38 + 23) = 1380 Hz (to the nearest integer).

The frequency of the sound wave is increased as the source of the sound (the police car) moves away from the observer (the driver of the car). The frequency observed by the driver of the car is given by:

f_observed = f_source * (v_source + v_observer) / (v_source - v_observer)

Substituting the given values, we get:

f_observed = 2400 * (38 + 23) / (38 - 23) = 4860 Hz (to the nearest integer).

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Answer:

it is a heterogeneous mixture

Explanation:

because it ha s a smooth consistancy and not a thick one.

Gravity is the attraction that things have for one another, like the powerful pull that the Earth has on the things that are on it.The "pull-apart" force is tension.The "push-together" force is compression.

Because they can have both direct and indirect influence on business operations, employees, and revenue, external environment considerations are significant.

The environment outside usually exerts external stresses on the structure.The building is subjected to external loads from dead, living things, snow, wind, and earthquakes.In the majority of cases, it is simple to identify the source of the these external demands.

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Due to its lower fuel consumption, the smaller star will live longer than that of the larger star.

A physicist is a professional who focuses on the science of physics, which includes all of the interactions between matter and energy in the material world at all time and spatial scales. His discovery of law of the photovoltaic effect, which was a crucial step in the evolution of quantum theory, earned him the 1921 Newbery Medal.

A scientist is somebody who methodically acquires data and uses it to form hypotheses, test those assumptions, and further knowledge and understanding. A scientist's methodology, such as the use of numbers (statisticians) or data, can also be used to further characterize them (data scientists).

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The magnitude of the average force is -1.5×10³ N.

What is force?

A force is any action that seeks to preserve, modify, or deform a body's motion.

We know,

The magnitude of the average force is:

F = m(v-u)/t

F = Average force

m = mass of the cyclist

v = Final velocity

u = Initial velocity

t = time.

Putting values into the formula

F = 50(0-10)/0.5

F = -1500 N

F = -1.5×10³ N

The negative sign is the force act against the motion of the cyclist.

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Static and secured in a tripod best describes the camera motion in the scenes directly prior to the old man's defiant hand gesture.

One of the hardest things for a photographer to do is to take steady, sharp pictures. Even if we like the spontaneity of point-and-shoot photography, shaky hands can reduce the overall caliber of your pictures.

A beautiful shot is made up of many crucial elements. The ability to capture the ideal lighting, composition, and moment—the three components of a great image—is among the most crucial.

You may capture the ideal sunrise or sunset with the use of a tripod, which lowers camera movement and enhances image quality.

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Grand unified force thermodynamically isolated its internal energy as the universe expanded and cooled at an age about.

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When a toroidal inductor with an inductance of 91.0 mh encloses a volume of 0.02m^3 then the current through the inductor is calculated as 4.91 A.

The tendency of an electrical conductor to oppose change in the electric current flowing through it is called inductance.

As we know, the magnetic energy stored in the toroid is;

U = 1/2 * L i²

Here, L -- inductance and i -- current

Average energy density, u = B²/2μ

U = u V

Here V is volume, = 0.02 m^3

Given L = 91.0 mH;  u=  55.0 j/m3 and V= 0.02 m^3

i = √2u V/L

= √ 2* 55 * 0.02 /91 *10^-3

Current, i = 4.91 A

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An electron experiences a force of constant magnitude that is always pointed perpendicular to its velocity since the force is F=qvB in a constant magnetic field. The electron will move in a circular orbit.

Magnetic fields surround permanent magnets and current-carrying conductors because of the movement of electrical charge.

A negatively charged subatomic particle known as an electron can either be free or attached to an atom. One of the three main types of particles within an atom is an electron that is bonded to it; the other two are protons and neutrons. The nucleus of an atom is made up of electrons, protons, and neutrons together.

Hence, an electron experiences a force of constant magnitude that is always pointed perpendicular to its velocity since the force is F=qvB in a constant magnetic field. The electron will move in a circular orbit.

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The maximum height the skateboard can reach is  is 4.6 m.

Height is the vertical distance between two points.

To calculate the maximum height the skateboard can reach, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the maximum height is 4.6 m.

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The conclusion about moving the boxes in Max's house is as follows: The boxes will slide more easily on the carpeted floor due to lower friction (option A).

Friction is the force that resists the relative motion or tendency to such motion of two bodies in contact.

According to this question, Max is moving boxes in his house from one room to another. Max has two different floor surfaces in his house, one carpeted and the other wood floor.

The carpeted floor will have a lesser friction than the wooden floor when moving the object. This makes it easier to move the boxes on the carpeted floor.

Therefore, option A is correct.

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Answer: 1.72J

Explanation:

hope this helps :)

It fall during the next second of time is 3hrs.

Gravitational potential energy is transformed into kinetic energy as the object is propelled out of rest and falls to Earth. Since the object is released closer to the Earth's surface, the force of gravity's acceleration is constant.

Knowing this

u = 0 m/s.

velocity after t = 1s

v = u+gt

v = 0 + 9.81 x 1s

v = 9.81 m/s

area covered in the first second

area covered in the first second = ut + 0.5 x g x t²

area covered in the first second =0 + 0.5x 9.81 x 1 = 4.90m

Let 4.90 be h

We will now use the distance traveled in the second second.

so that velocity after t = 1s

velocity after t is 1s = 1 x t+ 0.5 x g x t²

velocity after t is 1s = 9.81 x 1 + 0.5 x 9.81 x 1 = 3 x 4.90

So since h= 4.90

Then the answer is 3 x h = 3h.

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1. The atomic mass of the new atom be 243.  Hence, Option (e) is correct.

2. The atomic number of the new atom be 94. Hence, Option (f) is correct.

3. The symbol of the new atom be Pu.  Hence, Option (h) is correct.

4. Alpha decay is demonstrated here. Hence, Option (i) is correct.

A type of radioactive decay known as "alpha decay" occurs when an atomic nucleus emits an alpha particle as it changes or decays into a new atomic nucleus. Here, the newly produced atom will have a four-less atomic mass number and a two-less atomic number. A helium nucleus is another name for the alpha particle that was released. The alpha particles have a positive charge and a sizeable mass.

Ernest Rutherford investigated how radiation is deflected through a magnetic field to distinguish alpha decay from other types of radiation. Given that the particles carry a +2e charge, the alpha decay would deflect a positive charge.

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It is possible to think about angular frequency (ω) as a way to measure angular displacement with respect to time. The equation is (K= ω/m)

ω=km

We are aware that k is unchanging.

Then, we can change the formula's k subject to (K= ω/m).

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When asked to assist with tasks that MOST likely occurred in Paxton's life, he complains.

Demonstrate is often used interchangeably with the words prove, evince, manifest, and display. Demonstrate suggests demonstrating through action or just by displaying feelings whereas all these terms mean "one reveal openly or make evident." They applauded vociferously to show their approval.

Whenever listing "Demonstrated Experience" on your resume, be sure to include the following information: (1) Whenever a skill was used, (2) Where it was used, (3) For how long, (4) How it was used, (5) Your interactions with other people while using the skill, and (6) The project's topic.

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The resonance frequency will remain the same if the capacitor value is doubled and, at the same time, the inductor value is halved.

The resonant frequency is a term used to describe the oscillation of a system at its natural or unforced resonance.

In an LC circuit, the resonance frequency can be determined by the following equation;

ω = 1 / √LC

Here L represents the inductor value and C illustrates the value of the capacitance.

If the capacitance is doubled, C'=2C, and the inductance is halved, L'=L/2, then;

ω = 1 / √L'C'

ω = 1 / √(L/2) × (2C) = 1 / √LC = ω

Therefore the frequency of resonance is equal to the original value.

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Theoretically, extrinsic motivation is what occurs when an external factor serves as the driving force behind the pursuit of a goal.

If an individual is motivated on rewards or other elements, such like praise, fame, or money, this is known as extrinsic motivation. Unlike intrinsic motivation, this kind of motivation is not motivated by internal causes. One example of an extrinsic motivation is receiving payment for completing a task.

Extrinsic motivation is significant because it can be a useful tool for changing behavior. People are usually motivated to behave in particular desirable ways when there is a chance of receiving awards or sanctions from outside sources.

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solve today's free puzzle, you will need your Morse Code Decoder Ring from last week. This puzzle is a list of words that are related in some way. Can you decode them all and figure out their relationship?

This puzzle would be great for kids 8 and older. If you need help constructing the decoder, click here.

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Most substances expands when temperature increases.

At low temperatures, most substances are solids. When the temperature rises, it becomes a liquid. At higher temperatures it becomes gaseous. The process by which a solid becomes a liquid is called melting (an old term you sometimes come across is fusion).

Thermal energy is added to a material during heating. As a result, its particles accelerate and its temperature rises. The loss of thermal energy that occurs during cooling results in a decrease in temperature and slower particle motion in the cooled material. When a substance's temperature rises, its molecules expand because they have more energy and are moving faster and further apart. When a material is heated, the molecules absorb energy. The inter-molecular connections between molecules are first disrupted.

So, most substances expands when temperature increases.

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The complete question is as follows:

What most substances do as temperature increases?

2Na (s)+Cl₂ (g) → 2NaCl(s) the equation represents a chemical change because it is a synthesis reaction.

When two or more substances (elements or compounds) react to generate a new product, which is a compound with new qualities. They synthesis to create a new material, therefore the name "synthesis reaction."

Synthesis reactions occur when two separate atoms or molecules interact to generate a new molecule or substance. When a synthesis reaction happens, most of the time energy is released and the process is exothermic.

The typical equation for this sort of reaction is A + B → AB. The reaction of sodium (Na) with chlorine (Cl) to form sodium chloride is an example of a synthesis reaction (NaCl).

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Free fall motion is motion in which the only force acting on the body is gravity.

A free-falling object is one that moves only due to the effect of gravity, and its motion is defined by Newton's second law of motion. We can use algebra to calculate the acceleration of a free-falling particle.

The student should launch the sphere at 2v₀, for the sphere will land at approximately 1.41D, which is in the 3 point zone

The given parameter are;

The distance covered by the sphere when launched at height, H = D

The velocity with which the ball reaches D = v₀

The current available height of launcher= H/2

The available velocities = v₀, and 2v₀

Now,

From H = ut + (1/2)gt², where, initial velocity of the vertical motion of the ball, u = 0

we know;

H = (1/2)gt²

Therefore, the time it takes the ball to drop from H, t = √(2H/g)

The distance, D = v₀ × √(2H/g)

When the height is H/2, we get;

t = √(2H/(2g)) = √(H/g)

Thus, the distance covered, D₁ = v₀ × √(H/g)

Therefore, D = (√2) × v₀ × √(H/g) = (√(2))D₁

Now, D₁ = D/(√2) ≈ 0.71D

D₁ ≈ 0.71D

At speed 2v₀, we have;

D₂ = 2v₀ × √(H/g) = √2 × v2 × v₀ × √(H/g) = √2 × v₀ × √(2H/g) = √2D₁ ≈ 1.41D

D₂ ≈ 1.41D

The 2 point zone = D/2 < x < D = 0.5D < x < D (Position D₁ ≈ 0.71D is located here)

The 3 Point Zone =  D < x < 3D/2 = D < x < 1.5D (Position D₂ ≈ 1.41D is located here)

Given that at D₂, the ball lands in the 3 Point Zone, the student should launch the sphere at the speed, 2v₀, so that the ball will land at D₂ ≈ 1.41D,  which is in the 3 Point Zone

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The complete question is as follows:

A group of students prepare for a robotic competition and build a robot that can launch large spheres of mass M in the horizontal direction with variable speed and from a variable vertical position and a fixed horizontal position x=0.

The robot is calibrated by adjusting the speed at which the sphere is launched and the height of the robot’s sphere launcher. Depending on where the spheres land on the ground, students earn points based on the accuracy of the robot. The robot is calibrated so that when the spheres are launched from a vertical position y=H and speed v0, they consistently land on the ground on a target that is at a position x=D. Positive directions for vector quantities are indicated in the figure.

When the students arrive at the competition, it is determined that the height of the sphere launcher can no longer be adjusted due to a mechanical malfunction. Therefore, the spheres must be launched at a vertical position of y=H2. However, the spheres may be launched at speed v0 or 2v0.

Question: In a clear response that may also contain diagrams and/or equations, describe which speed, v0 or 2v0, the students should launch the sphere at so that they earn the maximum number of points in the competition.

Answer:

Local gravity dominates over the expansion of the universe.

Explanation:

(The expansion of the universe is a relatively weak force acting throughout the universe).

The  gravitational field gx at the surface of planet x  (M/m)(r/R)² times the gravitational field gy at the surface of planet y.

A gravitational field, as defined by physics, is the influence a massive body has on the area surrounding it, exerting a force on another huge body. In other words, a gravitational field, which is measured in newtons per kilograms (N/kg), aids in the explanation of gravitational field.

Now, Let planet x has mass M and radius R:  then gravitational field at the surface of planet: gₓ = GM/R².

Let planet y has mass m and radius r:  then gravitational field at the surface of planet: [tex]g_y[/tex] = Gm/r².

Hence, gₓ/[tex]g_y[/tex] = (M/m)(r/R)².

So, the  gravitational field gx at the surface of planet x  (M/m)(r/R)² times the gravitational field gy at the surface of planet y.

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I understand your question and E=0.0693J is the maximum energy stored in the magnetic field during the collision, assuming that the carts never touch each other.

to find the energy do as follows.

E=K 1 +K 2=0.5mv 12 +0.5mv 22 =0.5m(v 12+v 22 )

E=0.5(1.1)(0.323^2+(-0.147)^2)=0.0693J.E=0.5(1.1)(0.3232 +(−0.147)2)

E=0.0693J.

Hence, E=0.0693J is the maximum energy stored in the magnetic field during the collision, assuming that the carts never touch each other.

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The complete question is ;

10-kg carts on a low-friction track are rigged with magnets so that the carts repel each other when they approach each other. One cart has an initial velocity of +0.323 m/s, and the other has an initial velocity of -0.147 m/s.

What is the maximum energy stored in the magnetic field during the collision, assuming that the carts never touch each other?

Answer:

The elongation of the wire is approximately 4.81 x 10-³ m.

Explanation:

To find the elongation of the wire, we can use the formula:

Elongation = (Force * Length) / (Young Modulus * Cross Sectional Area)

Plugging in the given values, we have:

Elongation = (10³ N * 2.5 m) / (2.0 x 10-¹¹ N/m² * 6.5 x 10-⁷ m²)

We can simplify this to:

Elongation = (2500 N * 2.5 m) / (2.0 x 10-¹¹ N/m² * 6.5 x 10-⁷ m²)

Which simplifies to:

Elongation = (625 x 10-⁸ m³) / (1.3 x 10-¹¹ m³)

Simplifying further, we have:

Elongation = 4.81 x 10-³ m

Therefore, the elongation of the wire is approximately 4.81 x 10-³ m.

It's important to note that this is an approximate value, as the actual elongation may depend on various factors such as the temperature and the specific properties of the wire.