a race car traveling at a constant speed of 50 m/s drives around a circular track that is 500 m in diameter. what is the magnitude of the acceleration of the car

Answer:

Work = 196 Joules (1 kg*m^2/sec^2 is 1 Joule)

Explanation:

Work, W, is defined as force. F, times displacement, d.  

  W = Force*displacement

In the worker's case, the force he/she is struggling against is Earth's gravity's acceleration, g, (9.8 m/sec^2) times the mass, m.

Force = mg

Force = (10kg)*(9.8 m/sec^2) = 98 kg*m/sec^2

Use this force in the work calculation.

W = Force*displacement

The displacement is 2 meters.

Work = (98 kg*m/sec^2)*(2 meters) = 196 kg*m^2/sec^2

1 kg*m^2/sec^2 is 1 Joule

Work = 196 Joules

Formula of Coefficient of friction= F/N

Force applied on the block =47N (Provided in the question)

Mass of the body=15kg (Provided in the question)

Normal force applicable on the body(N)=m x g

N= m x g

Where N represents the Normal Force, m the mass of the body and g represents the gravitational force.

N= 15 x 9.8

N=147N

When a force is applied on a body that is less than that of the Limiting force ( the maximum static friction that can be there) then the friction force produced as a reaction to that force is equal and opposite in nature, acting on the same body.

Since a 47N force is applied on the block a static friction force of the same value will pull the body in the opposite direction.

Thus force due to Friction=47 N

Coefficient of Friction= Friction/ Normal Force

Coefficient of friction =47/147

coefficient of friction=0.319

coefficient of friction≈0.32

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To determine the total number of microstates, we need to determine the density of states in one dimension. The density of states function (g(E)) is the number of microstates per unit length per unit energy range.

In one dimension for a particle of mass 'm' in a box of length 'L' we have the energy given
E: hk2 2

From the boundary conditions of the cuboid at x=0 and x=L, we deduce that 'k' can take on discrete values ​​in units of 2π/L. Consequently, the quantum states are in units of L/2π. The number of states 'N' for momentum 'k' will be equal to,

2KL N = TT

And the energy E at any momentum "k" is given by

E: hk2 2

The density of states in 1D is given by

9(E) 1 IN L DE = 1 DN dk L dk de

we know

NP 27 dk 1

AND,

hk DE Ε dk dk dЕ = m hk m

Notation in terms of energy E,

dk DE -m 1/2 E-1/2 -1/2

The density of states will be

9(E) 1 dN 1 dN dk IDE = I dk DE L L dE V2 m1/2E-12 πh

The total number of microstates at energy 'E' is,

2m Z(E) = [” 9(E)E = Z dE = E-1/2 DE 6.* -12dE = 22m VE ић пh

(i) A two-particle system will have the number of microstates will be,

Z(E) = 21(E1Z2E - E1)

where Z1 and Z2 are the microstates due to particle 1 and particle 2 calculated above. E1 is the energy of particle 1, so the energy of particle 2 is E-E1.

(ii) For indistinguishable particles, the number of microstates will be

Z(E) 21(E1)Z2(E – E1) 2!

​​​​where Z1 and Z2 are the microstates caused by particle 1 and particle 2, respectively, calculated as above. E1 is the energy of particle 1 and (E-E1) is the energy of particle 2. 2! it comes as a result of the fact that if we exchange two particles, due to their indistinguishability, the result will be the same.

E is the total energy of the system for both the above cases.

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Both graphs of energy are attached in the answer.

The ability of a body to do tasks may be referred to as energy. The joule is the SI unit of energy (J). or 1 kJ Equals 1000 J. energy guises: Potential energy, kinetic energy, thermal energy, chemical energy, and light energy are some of the several types.

Potential energy of a man due to gravity can be express as = mass × acceleration due to gravity × height.

Hence, graph, that shows potential energy of a firefighter slides through the vertical pipe with length, will be linearly decreasing type.

As, total energy is conserved, graph, that shows kinetic energy of a firefighter slides through the vertical pipe with length, will be linearly increasing type.

Graphical representation of both linearly increasing and linearly decreasing is attached here.

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The magnification of this telescope is 12.

Solution:

F = 1200 mm = 120 cm

f = 32mm, 25mm, 14 mm, 10mm

M = F/f 120/ = 3.75

M = 120/25 =  4.8

M = 120/14 = 8.57

M = 120/10 = 12.

Magnification ratio means that the ratio of subject size on the sensor plane is greater than or equal to the actual size of the subject. This allows macro lenses to capture very sharp close-ups of insects, etc. The magnification produced by a lens is equal to the ratio of image distance to object distance. Total magnification In a compound microscope the total magnification is the product of the objective and ocular lenses.

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Answer:Use Bungee Cord Power. Use the tension of bungee cords as opposed to springs to power your catapult.

Shoot From the Best Angle. Create an arm break that stops the arm at a 45-degree angle from the floor.

Explanation:

Answer: As soon as it leaves the barrel.

Explanation:

A bullet fired from a rifle begins to fall immediately upon leaving the barrel. Despite its initial forward momentum, the bullet is subject to the force of gravity.

The gravitational force acts vertically downward and causes the bullet to accelerate downward due to its free fall. However, due to its initial high velocity, the bullet's downward acceleration is minimal compared to its forward motion. As a result, the bullet follows a curved trajectory known as a ballistic trajectory.

Over time, the effects of gravity become more significant, causing the bullet to gradually descend and eventually hit the ground, following a parabolic path.

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To use the kinetic friction force formula.

What is kinetic coefficient friction?

The proportion of contacting surfaces' kinetic friction forces to normal forces is known as the coefficient of kinetic friction.

What is acceleration?

Any process that causes a change in velocity is referred to as an acceleration. Since velocity depends on both speed and direction, you can only accelerate by changing either one or both.

Fn = 12kg* 9.81 m/s^2 = 117.7 N

since there is no acceleration, friction must equal the horizontal force

30N = 117.7*μ

μ = .255

Therefore, the coefficient of kinetic friction between the crate and the floor is 255.

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The speed of each wave is identical. The only factor that affects how fast sound travels is the property of the medium.

An example of an energy type that propagates through a medium using adiabatic loading and unloading is acoustic waves. Acoustic pressure, particle velocity, particle displacement, and acoustic intensity are crucial parameters for defining acoustic waves. Because the air molecules oscillate back and forth as the sound travels, we refer to sound as a wave. The way the air behaves is similar to a compression or longitudinal wave on a spring.

A sound wave is a pressure wave, which can be conceptualized as variations in pressure over time. Transverse waves include sound waves. The tines of a tuning fork must transfer air from the fork to one's ear in order for one to hear the sound of the fork.

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Things which will be attracted to (or repelled by) a magnet are

An iron pipe

A negatively charged piece of silver

An aluminum wire carrying current

According to the "rule of attraction of magnets," magnets will attract one another when their south poles are brought near together. According to the "rule of magnet repulsion," magnets repel one another when their respective north poles are brought close to one another.

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Answer:

the answer should be: An Electromagnet, An Iron Pipe, and An Aluminum Wire Carrying Current

Explanation:

took the test

It is typical for people in hypnotic trances to temporarily begin speaking languages they do not know .

Option a is correct

Although hypnosis is frequently described as a sleep-like condition, it is actually better described as a state of sharpened focus, increased suggestibility, and vivid fantasies. People who are hypnotized frequently appear tired and disoriented, yet they are actually hyperaware.

Our brain waves must slow down in order to enter a trance. Throughout the course of the day, people alternate between several brain wave states. Different stages of the brain wave include sleeping, daydreaming, and being fully alert and focused.

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0.88m to the left, where the 4.0 kg cat must be to keep the seesaw balanced.

The concept of Torque and the principle of moment are applied here to understand that the 4.0 kg cat and the bowl of tuna fish will balance the seesaw as long as the 4.0 kg cat stays on the left of the pivot.

m (big cat) = 5.4 kg

m (bowl) = 2.4 kg

m (small cat) = 4.0 kg

From the figure,

5.4 kg x (x m) = 2.4kg x (2m)

x = 4.8 / 5.4

=> 0.88m

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We cannot. The precise location of the electron cannot be predicted. The likelihood of where an electron will land can be predicted.

Only the likelihood of an electron being present at different sites can be predicted. The probability distribution can even tell you the average location of several electrons, but quantum theory cannot tell you the precise location of the electron. It can only give you a rough sense of where the one electron will end up.

The wave effectively splits into two new waves as it travels through both holes, each of which spreads out from a different slit. Then, there is interference between these two waves. A peak and a trough may occasionally cross paths where they cancel one another out.

The double-slit experiment, which was conducted to study the characteristics of light in the eighteenth century, has subsequently been found to illustrate the duality of photons as well as the ideas of superposition and quantum interference.

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The load of 1.8 N will give it an extension of 12cm.

Amount of force required to increase unit length of a spring is known as spring constant. Si unit of spring constant is Newton/meter.

Given parameters:

Loads on the spring; F₁ = 7.5 N.

Increase in length of the spring; x₁ = 50 cm = 0.5 m.

So, spring constant of it; k = F₁/x₁ = 7.5/0.5 N/m = 15 N/m.

Hence, to extent it of 12 cm; required load

= spring constant × increase in length

= 15 N/m × 12 cm.

= 15 N/m × 0.12 m.

= 1.8 N.

So, the required load is 1.8 N.

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Acceleration: the rate at which the speed and direction of a moving object vary over time.A point or object going straight ahead is accelerated when it accelerates or decelerates.

Three different accelerated motion types exist: average acceleration, non-uniform acceleration, and uniform acceleration.

a = F / m

1 N = 1 kg•m/s²

F = ma; where F = force in newtons (N), m = mass in kg, and a = acceleration in m/s².

Known and Unknown

F = 3000 N = 3000kg•m/s²

m = 1200 kg

a = F/m

a = (3000 kg•m/s²)/(1200 kg)

Kilograms cancel.a =  2.5m/s²

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The robin's speed relative to the ground 62.3 degrees north of east, or tan(12/6.3).

Think about the X-east-west axis's direction and the Y-north-south axis's direction.

V ra = 12 j m/s is the speed of a migratory robin relative to the air.

(In which "j" denotes a unit vector in the Y direction)

V ag = air speed in relation to the ground = 6.3 I m/s

(Where I is an X-direction unit vector)

V rg = speed of migratory robin in relation to the ground =

utilizing the formula

V rg = V ra + V ag

= 12 j + 6.3 I

= 6.3 I + 12 j

magnitude: (13.6 m/s = sqrt[tex](6.3)^{2}[/tex] + ([tex](12)^{2}[/tex])

direction: 62.3 degrees north of east, or tan(12/6.3).

The robin's speed relative to the ground 62.3 degrees north of east, or tan(12/6.3).

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The base ball would have more acceleration than the bowling ball. Option C.

We know that from the Newton second law of motion, force is the product of the mass and the acceleration of an object. We can write that; F = ma

F = force

m= mass

a= acceleration

It is clear from the equation that we have shown above that the accaleration of the object does not only depend on the force but also on mass of the object. We can now write;

a = F/m

The higher the mass the lesser the acceleration of the object as we saw above.

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Answer:

2. The object must have zero average acceleration over the interval.

Explanation:

Notes:

-Velocity can have zero change if it is either at rest or moving at a constant velocity. This also means there is zero acceleration (acceleration is any change in velocity).

-Velocity is also speed and direction, so if it changes direction (for example: moving backward or in a circle) it is not constant even if it has a constant speed. It also means the object is accelerating.

1: Nothing can be determined without additional information.

Incorrect, because it is solvable by the process of elimination.

2: The object must have zero average acceleration over the interval.

Correct, because zero acceleration equals zero change in velocity.

3: The object must be changing position.

Incorrect, because you don't know whether or not the object is accelerating.

4:  The object must have zero average velocity over the interval.

Incorrect, because this implies it is at rest. To have zero change, it can be at rest OR moving at a constant velocity.

5:  The object must have constant velocity over the interval.

Incorrect, because zero change in velocity can mean either be at rest OR moving at a constant velocity.

6: The object must begin and end at the same position.

Incorrect, because to begin and end at the same position implies that it was at rest or it changed direction while moving to end at the same position. (see Notes above for explanation)

7: The object must have constant acceleration over the interval.

Incorrect, because you can't have zero change in velocity if there is acceleration (Acceleration is any change in velocity).

8: The object must be at rest.

Incorrect, because to have zero change, it can be at rest OR moving at a constant velocity.

Answer:

1875 J

Explanation:

kinetic energy= [tex]\frac{1}{2}[/tex]×mass×velocity²

K.E=[tex]\frac{1}{2}[/tex]mv²

K.E=[tex]\frac{1}{2}[/tex]×150×5.0²

K.E= 1875 J

Number of photons emitted per second are 2928.02×10²⁵

Photons, also called light quanta, are small energy packages of electromagnetic radiation. Photon energy depends on the frequency of the radiation. There are photons of all energies, from high-energy gamma rays and x-rays to visible light, low-energy infrared and radio waves. All photons travel at the speed of light. A photon, considered among sub-atomic particles, is a boson with no charge, no rest mass, and no spin unit. They are field particles that are thought to be carriers of the electromagnetic field.

For the given question:

Number of photons = power/energy

n = P/E

Power =  521 KW

Since energy is not given, we need to calculate it,

Using, E = h × f

Where, h = plank's constant (6.62607015×10⁻³⁴ J-Hz⁻¹)

f = frequency (849×10³ Hz)

Substitute the values in the equation for calculation of energy:

E = h × f

E = 6.62×10⁻³⁴ × 849×10³

E = 5620.38×10⁻³¹ J

E = 5.62×10⁻²⁸ J

Now, for number of photon:

n = P/E

n = 521×10³/5.62×10⁻²⁸

n = 2928.02×10²⁵ photons

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Answer:

Therefore the acceleration of the block is 6m/s.

If a 2.5 kg mass is attached to a spring with k = 53 N/m, the spring will stretch to 61 cm.

Missing data from the problem:

A spring with spring constant (k) 53 N/m is hang vertically.

Original length of the spring = 15 cm = 0.15 m

A mass of 2.5 kg is attached to the end of the spring.

According to the Hooke's Law:

F = - kx

Where:

F = force applied on the spring

x = spring displacement

From the problem, the only force is the weight of the mass:

F = w = m . g  (g = 9.8 m/s²)

F = 2.5 . 9.8 = 24.5 N

Substitute k = 53 N/m,

24.5 = 53 . x

x = 24.5/53 = 0.46 m = 46 cm

Therefore the final length of the spring = 15 + 46 = 61 cm

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The magnitude of the force that the garbage exert on the floor of the service elevator is equal to 238.05 Newtons.

The mass of the garbage in the elevator is 20.7 kg. The elevator is accelerated downward at a rate of 1.7 m/s².

The acceleration due to gravity is g.

As the elevator accelerator downward then the total net acceleration of the elevator in the download direction is

A =  (1.7 + 9.8) m/s².

A = 11.5 m/s².

The force that the garbage exert on the floor of the service elevator will be equal to the product of the mass of the garbage and the net acceleration with which the elevator is going downward,

F = 20.7 × 11.5

F = 238.05 N.

So, the force exerted by the garbage on the floor is 238.09 Newton.

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A linear track beings at 0 meters and has a total distance of 100 meters, then she will go 55 meters. Hence, option D is correct.

The pace at which the distance a moving item travels changes is measured as speed. Since speed is a scalar, it has quantity but no orientation as a unit of measurement.

Let A represent Juliet's position. O is the starting point with OA = 10, AB = 45, and OP = 100 as its coordinates.

The location of Juliet following running 45 meters will therefore be 55 m, as may be seen from simple math. In the figure, it is OB.

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Your question is not complete, your question probably be :

A linear track begins at 0 meters and has a total distance of 100 meters to the finish line. Juliet starts at the 10-meter mar

while practicing for a race.

After running 45 meters, how far is she from the beginning of the track?

10 meters

35 meters

45 meters

55 meters

Answer: (C)

Explanation:  (B) is the weight of the box acting downwards

(A) is the frictional force acting on the box because of moving forward against the plane

(D) is the force that moves the box forward

( C) is perpendicular to the box which means it is at 90 degrees with the box. Normal usually means at 90 degrees

If the effective coefficient of friction was 0.40, the amount of work done required to move a 41.0-kg container 10.4 m of  a surface would be 1671.448 J.

Take into account "Friction" as the applied force on the box and "friction" as the force on by friction.

f = coefficient of friction*M* acceleration due to gravity

where 'M', 'N', and 'g' stand for the mass of the box, the normal force acting onto the block, and the acceleration acts on by gravity, respectively.

Since the people application of force does not cause the block to accelerate, we may write

F=0.4*41kg*9.8 = 160.72N;

the work required to move the box by a distance of s = 10.4 m is

Work done = Force *S

= 160.72*10.4 = 1671.448 J.

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The third snowman will be placed at a distance of 2.1m from the 15.0 kg mass such that the net gravitational force on it by the other two is zero .

Mass of the snowman 1 = M1 = 15 kg

Mass of the snowman 2 = M2 = 20 kg

Distance between both the masses = r = 4 m

Gravitational force is the force that attracts any two objects of mass.

where G is the gravitational force constant,

M1 and M2 are the masses of the two different bodies respectively,

r is the distance between the masses.

F = [tex]\frac{GM1M2}{r^{2} }[/tex]

Let the mass M3 be the mass which lies between the masses such that the net gravitational force on it by the other two is zero.

F = [tex]\frac{GM1M3}{(r-d)^{2} }[/tex]  = [tex]\frac{GM2M3}{(d)^{2} }[/tex]

here 'd' is the distance at which the mass M3 will be placed such that the net gravitational force on it by the other two is zero.

[tex]\frac{GM1M3}{(r-d)^{2} }[/tex]  = [tex]\frac{GM2M3}{(d)^{2} }[/tex]

[tex]\frac{M1}{(r-d)^{2} }[/tex]  = [tex]\frac{M2}{(d)^{2} }[/tex]

[tex]\frac{15}{(4-d)^{2} }[/tex]  = [tex]\frac{20}{(d)^{2} }[/tex]

3[tex]d^{2}[/tex] = 4[tex](4-d)^{2}[/tex]

3[tex]d^{2}[/tex] = 4 (16 + [tex]d^{2}[/tex] - 2*4*d)

3[tex]d^{2}[/tex] = 64 + 4[tex]d^{2}[/tex] - 32d

[tex]d^{2}[/tex] - 32d + 64 = 0

On solving the above quadratic equation we get the values of d as;

d1 = 29.

d2 = 2.1

Since the d is the distance between the two masses therefore it must be less than 4 m, therefore d2 will be considered as the value of d.

Hence the mass M3 should be placed at a distance of 2.1 m away from the mass M1 to get zero as the net gravitational force

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A piece of wood from a nearby construction site floats near the shore of a lake. it floats in very calm water with half of its volume just above the surface. The density of this piece of wood will be 500 kg/[tex]m^{3}[/tex]

The floatation principle states that when an object floats in a liquid, the buoyant force acting on the object is equal to the object's weight.

since ,

buoyant force =  rho * g * V

                        = 1000 * g * (V/2)                   equation 1

objects weight = mg                                   equation 2

equating equation 1 and equation 2

500 * g * V  = mg                                  

mass = 500 V

density = mass / volume = 500 V / V

            = 500 kg/[tex]m^{3}[/tex]

The density of this piece of wood will be 500 kg/[tex]m^{3}[/tex]

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A cosmic catastrophe jolts earth so that its axis is perpendicular to the orbital plane between earth and the sun therefore the largest effect of this change would be the elimination of seasonal variation.

This is referred to as the period of the year that is distinguished by special climate conditions and examples include winter, summer etc.

In a situation where a cosmic catastrophe results in it being perpendicular to the orbital plane between earth and the sun there will be no seasonal variation as a result of it hindering the effect of the sun and other factors.

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The wise and economic use of energy sources is the best way of conserving existing energy sources because it ensures that energy sources that are not renewable such as petroleum are effectively managed so that they last for a longer time.

The conservation of resources refers to the various steps ad method employed to ensure that the existing resources are available for a long time and for future generations.

Conservation of energy sources involves effective and efficient use and management of energy sources so that they last longer. One way is the use of renewable energy.

One of the most important ways of the conservation of resources is the process of recycling to ensure that resources are reused.

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