what is the spring constant of a spring that stores 25 j of elastic potential energy when compressed by 7.5 cm?

The findings of Fritz Zwicky and Jan Oort suggest the motion of neighboring stars in our galaxy and galaxies in the Coma cluster do not follow Newton's law of gravity.

In fact, the gravitational pull that dark matter appears to have on visible stuff is the only way that researchers have been able to deduce its existence. Dark matter, which makes up about 27% of the cosmos, appears to outnumber visible matter by a factor of nearly six to one.

Given the rates at which astronomers observe the galaxies revolving, the prevailing view among cosmologists holds that dark matter permeates nearly every galaxy and provides the extra gravity that prevents stars from swirling out into space.

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F"=4F/9 or F"=4F ÷9 is the magnitude for the force acting on the 4q charge.

Coulomb's law states that the magnitude of the forces between Q and 4Q is,

F'=КQ×4Q÷d²

= 4F ---------------------------(1)

Now, if the distance is made 3 times greater than before, or in three dimensions,

F''=КQ×4Q÷ (3d)²

Or F''= 4КQ² ÷ 9d²

or,  F''= 4÷9 × ₍КQ²÷ d²₎

or,  F''= 4F/9

Coulomb's law: a rule indicating that opposing charges attract and similar charges repel, with a force proportional to the product of the charges and inversely proportional to the square of the space between them.

Dimensions: an area that may be measured for its length, width, depth, or height.

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The force applied to the dolly was 6N.

Acceleration is the rate of change in velocity. It involves a change in speed and direction. When acceleration involves a change in speed only: Positive acceleration it occurs when an object speeds up. Negative acceleration it occurs when an object slows down.

Acceleration is a change of velocity over a period of time, expressed by the equation below.

F = ma

where f = force applied

m = mass of the body

a = acceleration of the body

F = ma

F = 30 x 0.2

F = 6N

In conclusion, the dolly received a force of 6N from Fred.

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Answer:

Time, t = 0.57 hours or 34 minutes and 12 seconds.

Explanation:

Given:
Speed of the school bus, s = 35 mi/hr
Distance covered by the bus, d = 20 miles

Speed(s) is equal to Distance over Time (s=d/t)
Meaning time is equal to distance over speed (t=d/s)

plugging our given information into the formula, we know Time is equal to 20 over 35 (t=20/35)

20/35=0.57, so
t = 0.57 hours

the time taken by the bus to reach school is 0.57 hours or 34 minutes and 12 seconds.

Answer:

Explanation:

Mathematically, speed is given by this formula;

Speed=distance/time

Making time the subject of formula, we have:

Time = distance/speed

Substituting the given parameters into the formula, we have;

Time = 20/35

Time = 0.571 hours.

The example of a sport where shoes with a low coefficient of friction would be advantageous are hockey, football and cricket.

The athlete can move more quickly down the slope when there is no friction. Because there is little surface area in contact with the ice, friction is decreased. A force that is often up to eight times greater than gravity is applied to the ice as the competitors speed around a curved path.

In a sled-towing activity, an athlete's sprint time should presumably get longer as the coefficient of friction of the running surface rises because more of the athlete's muscular force is lost to sled friction.

Football Collision

When the football is rolling or sliding during a play, frictional forces are working against it. The reason behind this is that as these balls roll across the ground, surface friction creates an opposing force that significantly slows the ball down.

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Advantages of simplifying combinational logic circuits:

1. Simplified uses fewer gates to provide the same logic properties as necessary.

2. A circuit with fewer gates is smaller and less expensive than an original.

3. Because there are fewer interconnections, the reliability of the circuit will increase.

4. The circuit's operating speed goes up.

5.There are no redundant gates because of the simplification.

How simplifying combinational logic circuits make designs more efficient and beneficial to society?

It is challenging to design a circuit if it is complex, so the circuit should be as basic as feasible before design. We may need to provide a less amount of power if there are more gates. Therefore, combinational logic circuit simplification is good for society.

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Cell membrane - It acts as a barrier for the inner and out environments of the cell and it controls what goes in and what comes out of the cell.

Nucleus - It stores genetic code or the instructions on how the cell should work. It also controls the metabolic reactions inside the cell.

In the given explanations, Newton’s law of universal gravitation can be explained by the statement, "Heavier objects fall faster than lighter objects". Thus, Option A is the correct answer.

Gravity is a natural phenomenon that causes all massive objects to attract each other. The magnitude or force of this interaction depends on the masses and distance of the bodies. This causes objects to fall toward Earth, for example, and keep satellites and celestial bodies in their orbits, such as the Earth's orbit around the Sun. Gravity also causes the tidal phenomenon.

In physics, gravity can be approximated by Isaac Newton's laws of gravity. Although the accuracy of the law is sufficient, for example, when calculating the orbits of spacecraft, gravity is best described by Albert Einstein’s general theory of gravity, in which it is considered the curvature of space-time.

Newton's law of universal gravitation states that a particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Hence, Option A is the correct answer.

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Answer:

O warm ocean temperatures, moderate winds, and moist atmospheric layers

If the bob of a straightforward pendulum swings between points X and Y, then its period is 0.86 seconds.

a system made composed of a string that hangs from an overhead support as well as an object at the string's bottom. Gravity and the string's combined force cause the object to swing back and forth. Bob the Pendulum any item that is dangling from the pendulum string.

Because a pendulum travels back to towards the mean position due to the influence of gravitational force, it is used to gauge the gravitational effect. A pendulum can be used to identify the moment because its time period is constant. A clock's hands are kept moving by a pendulum inside.

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The total work (in Joules) that must be done on the object to increase its speed to 10.7 m/s is 349J.

ΔK.E = W

ΔK.E = K.Ef - K.Ei

⇒ ΔK.E = 1/2m(Vf² - Vi²)

⇒ ΔK.E = 1/2×9.5(10.7² - 6.4²)

⇒ ΔK.E = 349J

Hence, the total work is 349J

Work = Force Distance is the formula for calculating work. The joule (J), sometimes known as the Newton meter (N m), is the SI unit for work. When an object is moved across a distance of 1 m by 1 N of force, the work done is equal to 1 joule.

Between KE and W relationship: An object's change in kinetic energy equals the work performed on it by a net force: W = KEi - KEf. The work-energy theorem is the name given to this relationship.

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Answer: 200m in 5seconds.

Explanation: To find the distance traveled by the cyclist in 5 seconds, we need to use the equation for distance traveled with uniform acceleration:

d = d0 + v0t + 1/2a*t^2

where d is the distance traveled, d0 is the initial displacement (in this case, 0 since the cyclist starts from rest), v0 is the initial velocity (also 0 in this case), t is the time elapsed, and a is the acceleration.

We are given that the cyclist moves 8m in 4 seconds, so we can plug these values into the equation:

8m = 0 + 04s + 1/2a*4s^2

8m = 1/2a16s^2

a = 8m / (1/2 * 16s^2)

a = 16m/s^2

Now that we have the acceleration, we can use the equation to find the distance traveled in 5 seconds:

d = 0 + 05s + 1/216m/s^2*5s^2

d = 1/216m/s^225s^2

d = 200m

Therefore, the cyclist will move a distance of 200m in 5 seconds.

Answer:

The law of conservation of matter.

A full grocery cart requires more force to push than an empty one because the weight of the groceries is pushing down on the cart, and the cart itself is resisting this downward force.

After leaving the provided switch at the given position for a longer time, then its moves given switch from a to b. At t = 0, the left part of the plate C has charge q = max and therefore, the current flowing through it is zero.

Oscillation is the repetitive or periodic variation, usually in time, of a few degree approximately a crucial value or extra one-of-a-kind states. Familiar examples for all oscillation encompass a swinging type of pendulum with alternating current. A wave is stated to oscillate, which means to transport to and fro in a regular, repeating way.

This fluctuation may be among extremes for all position, like force or quantity. Different sorts of waves have one-of-a-kind sorts of oscillations.

Longitudinal types of waves: here oscillation is parallel route of the wave.

The maximum charge stored in the capacitor is,

Q = CE ------(1)

i = 0

At t = t/4, the left part of the plate C has charge q = 0 and therefore, the current flowing through it is clockwise.

i = clockwise

At t = t/2, the left part of the plate C has charge q = -9max and therefore, the current flowing through it is zero.

i = 0

At t = 3t/4, the left part of the plate C has charge q = 0 and therefore, the current flowing through it is counter clockwise

i = counter clockwise

At t = 0, the left part of the plate C has charge q = max and therefore, the current flowing through it is zero.

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Answer:

by calculating the total area under the displacement of the graph

Answer:

SUV's velocity is 22 m/s

Explanation:

[tex]F=\frac{mv^{2} }{r} \\\\v=\sqrt{\frac{Fr}{m} } \\\\v=\sqrt{\frac{14236 N * 85 m}{2500 kg} } \\\\v=22 \frac{m}{s}[/tex]

80 kilometers east in two hours in a car. The car has a westward speed is 40 km/h.

The vector illustration expression of velocity is the movement in space-time of an object or particle. The recognized unit of velocity magnitude is the centimeter per second (m/s) (also known as speed).

Speed is the rate at which an object is moving across a path over time, whereas velocity is the speed or direction that an organism is moving. In other words, velocity is a scalar value, but velocity is a vectors.

An object's velocity is a vector quantity. Both magnitudes and direction are present.

Arrows serve as directional indicators.

Car A is traveling west. Moving in an east-south direction is Car B. Vehicle C is traveling in a southerly direction. Vehicle E is traveling in a northerly direction.

Therefore, the Car is moving west at a speed of 40 km/h.

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Anita's power rating during this portion of the climb is 15680 J.

Rock climbing is an activity in which people climb up, down, or over natural or man-made rock cliffs. The objective is to reach the top of the terminus of a path without falling. It is under the physical Education.

Given that,

mass (m) = 80.0 kg

time = 100 sec

height = 20.0 m

Now, Anita needs to apply a force that is equal to her weight in order to elevate her body a distance of 20.0 m.

Thus, force is equal to:

F =  (80 kg) × (9.8 N/kg)

F = 784 N.

So the work she does to lift her body in 20.0 m is:

W =  (784 N) ×(20.0 m) × cosine(0°)

W = 15680 J.

So, Anita's power rating during this portion of the climb is 15680 J.

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The magnitude of the electric field will be greater where the lines of the charges are closest to each other.

An electric field is defined as an area that holds the electrically charged particles in its physical field and the electric field also exerts a force on all charged particles either attracting them or repelling them. If the force that is exerted on the charged particle varies from one point in the field to other then the electric field is said to be non-uniform.

In opposite charges, zero is not a possibility between two charges because the field vectors from both opposite charges will head toward the negative charge.

So we can conclude that the point where the field is zero does not exist.

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The minimum kinetic energy in electron volts that an electron must have while travelling inside a slab of crown glass is 0.16715 Mev.

Given that, refractive index of glass is 1.52

n = 1.52

We know the formula for refractive index as, n = c / v

where, c is the speed of light

The speed of light in glass is v

v = c / n = (3* 10⁸)/(1.52) = 1.9723 * 10⁸ m/s

We know the formula for kinetic energy as,

KE = mc²/√[1 - (v²/c²)] - mc²

where, m is the mass of electron

KE = 9.1094* 10⁻³¹*(3* 10⁸)²/√[1 - (1.9723 * 10⁸)²/(3* 10⁸)²)] - 9.1094* 10⁻³¹* (3* 10⁸)² = 2.678 * 10⁻¹⁴ = 0.16715 Mev

The question is incomplete. The complete question is, "The Russian physicist P. A. Crenkov discovered that a charged particle traveling in a solid with a speed exceeding the speed of light in that material radiates electromagnetic radiation. (This phenomenon is analogous to the sonic boom produced by an aircraft moving faster than the speed of sound in air. Cerenkov shared the 1958 Nobel Prize for this discovery. What is the minimum kinetic energy (in electronvolts) that an electron must have while traveling inside a slab of crown glass n = 1.52 in order to create Cerenkov radiation?"

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A diode is a two terminal device that passes and blocks the current.

A diode is a semiconductor gadget that essentially switches current in a single direction.

However, it substantially inhibits current flow in the opposite direction. It permits an easy flow of current in one direction.

Due to the fact that they convert alternating electricity into pulsing direct current, diodes are sometimes referred to as rectifiers. Type, voltage, and current capability are used to rate diodes.

The anode and cathode determine the polarity of diodes. The majority of diodes only permit current to flow when the anode is subjected to positive voltage.

A diode is forward-biased when it permits current flow. Reverse-biased diodes function as insulators.

The arrow of the diode symbol points away from the direction of electron flow. The symbol was created by engineers, whose current flowed in a positive direction.

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5.94 ×10-26 J of energy of photons of radio waves is required to leave an FM station having 90MHz broadcast frequency

A photon's energy E and frequency f are exactly related. This is expressed mathematically as

Equation

E=hf      (1)                       

where h is the Planck constant.

Given that the frequency of the radio wave is f=90 MHz

=9.0×107 Hz

and knowing the fact that the numerical value of Planck's constant is h=6.6×10−34 m-m-kg/s

then the energy of the photon in J using Eq. (1) is:

E=6.6×10−34× 9×107

E=5.94 ×10-26 J

what is Frequancy?

The frequency of a repeated event is its number of instances per time unit.   It differs from angular frequency and is sometimes referred to as frequency for clarification. The unit of frequency is hertz (Hz), or one occurrence per second. The duration is the inverse of frequency since it is the amount of time that passes between events.

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Answer:

The SI unit of Area is meter square (represent as m2)

The SI unit of pressure is one newton per square metre ( represent as N/m2).

With the assumption that 250 meters is horizontal range, the ball remain in the air for a period of 14.7 s

Range is the horizontal distance from the point of projection to the point where the projectile hits the projection plane again.

Given that In a competition, a football player kicked a ball 250 meters into the air. While in flight, the ball traveled at an average speed of 17.0 m/s.

The parameters are;

R = uT

Substitute all the parameters into the formula

250 = 17T

T = 250/17

T = 14.7s

Therefore, the ball remained in the air for 14.7 s long.

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The near point of a person whose eyes have an accommodated power of 54.8d (assuming a lens-to-retina distance of 2cm is 20.83cm.

It is the process by which certain muscles (called ciliary muscles) function to change the focal length of the eyes so that the image is clearly formed on the retina which is called accommodation of the eye.

How to calculate the near point based on the information given from the question?

Power = P = 54.8D

Distance between the lens and the retina, Di = 2cm = 0.02m

Distance between the object and eyes, Do (we are trying to answer this)

The formula that we will use :
1 / Do = P - 1 / Di

1 / Do = 54.8 - 1 / 0.02

1 / Do = 4.8

Do = 1 / 4.8

Do = 0.2083m = 20.83cm

Therefore, the near point of a person whose eyes have an accomodated power of 54.8D is 20.83cm.

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The magnitude of acceleration of the box be 7.14 m/s².

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Mass of the box be: m = 7 kg.

Force applied on it: F = 50 N.

From Newton's second law of motion, we can write:

force = mass × acceleration

⇒ acceleration = force/mass = 50/7 m/s² = 7.14 m/s².

Hence, acceleration of the box be 7.14 m/s².

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Coefficients of friction would be the same for two pairs of the same shoes in different sizes as coefficient of friction does not depend on the size of shoes and weight.

The force of friction does not depend on the area of the contact and friction slows a moving object down. Frictional force depends on the nature of the surfaces in contact and the materials.

The coefficient of friction depends on the objects that are causing friction and the value is usually between 0 and 1 . A value of 0 means there is no friction between the objects.

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The movement occurs as . Each orbit has a different energy, and electrons can move to other orbits by emitting or absorbing energy, which is also quantized.

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The amount of work requires is W=[tex]\frac{4qq_{o}}{225\pi e_{o}R^{2} }[/tex]

What is a sphere?

A sphere is a spherical, three-dimensional object. Three axes—the x, y, and z axes—are used to define the sphere. Between a circle and a sphere, this is the primary distinction. Like other 3D objects, a sphere has no edges nor vertices.

Given

Radius of Conducting Sphere is R with Positive charge q

Small sphere is at a distance of r=5 R which is required to move slowly to r=3 R

So, Electric Potential Energy Between two Charged Particle will be

U=k.[tex]\frac{q_{1}q_{2}}{r^{2} }[/tex]

Now, the initial potential energy

[tex]U_{1}[/tex]=k.[tex]\frac{qq_{o}}{5R^{2} }[/tex]

[tex]U_{1}[/tex]= k.[tex]\frac{qq_{o}}{25R^{2} }[/tex]

at r=3R

[tex]U_{2}[/tex]= k. [tex]\frac{qq_{o} }{(3R)^{2} }[/tex]

[tex]U_{2}[/tex] = k. [tex]\frac{qq_{o} }{9R^{2} }[/tex]

Work done=[tex]U_{2}[/tex]-[tex]U_{1}[/tex]

W = k. [tex]\frac{qq_{o}}{9R^{2} }[/tex] - k. [tex]\frac{qq_{o}}{25R^{2} }[/tex]

W = k. [tex]\frac{qq_{o}}{R^{2} }[/tex] [tex]\left[\frac{1}{9}-\frac{1}{25}][/tex]

W = k. [tex]\frac{qq_{o}}{R^{2} }[/tex].[tex]\left[\frac{16}{225} ][/tex]

W = [tex]\frac{1}{4\pi e_{o} }[/tex].[tex]\frac{qq_{o}}{R^{2} }[/tex].[tex]\left[\frac{16}{225} ][/tex]

W= [tex]\frac{4qq_{o} }{225\pi e_{o}R^{2} } }[/tex]

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