A block of mass mmm is pushed up against a spring with spring constant kkk until the spring has been compressed a distance xxx from equilibrium. What is the work done on the block by the spring?

If you jounce up and down on a bathroom scale, what varies on the scale reading is the normal force that is option b is the correct answer.

The support force acting on you will only accurately reflect your weight when you are in equilibrium. So it is equivalent to the gravity force acting on you.

The bathroom scale's springs are more squeezed as the elevator is moving upwards and display a higher weight reading as a result. The bathroom scale's springs are less compressed and display a lower weight reading when the lift is accelerating downhill.

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Force exerted on the eye will be equal to PA, the value of the force applied will be 630 Newton the pressure on the ice from the person will be FA and the numerical value of the pressure will be 96923 Pa.

The mass of the woman is given to be taken 3 kg and the women is standing over a skate and the contact area between her skate and the ice is given to be 0.0065m².

According to the standard relation the pressure the applied force and the area of contact are related to each other as,

P = F/A

They applied force will be equal to the weight of the women and that will be equal to,

F = MG

F = 63×10

F = 630N

Putting the values,

P = 630/0.0065

P = 96923 Pa

So, the pressure that will be felt by the surface of the ice will be 96923 pascals.

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Answer:

Explanation:

In order to answer this question, we need to first calculate the amount of work required to pull the basket of fruit 2.5 M in 180 seconds. This can be done by multiplying the power (10 W) by the time (180 seconds):

Work = 10 W x 180 s = 1800 J

Now, we can calculate the force required to do this work in 180 seconds by dividing the work (1800 J) by the distance (2.5 M):

Force = 1800 J / 2.5 M = 720 N

Therefore, 720 Newtons of force are required to pull a basket of fruit 2.5 M in 180 seconds using a 10 W of power.

The ratio of electric force and gravitational force is of the order 10³⁶ between the two protons separated by 2 m apart.

Given that,

Distance between the two protons = 2 m

Gravitational force is given by the formula, Gf = G (mp)²/r²

Electric force is given by the expression, E = (K × e × e)/r²

The ratio of electric force to gravitational force is given by the formula,

Ratio = K (1.6× 10⁻¹⁹)²/r² × r²/G × (1.67 × 10⁻²⁷) = (9 × 10⁹)(1.6× 10⁻¹⁹)²/ (6.67 × 10⁻¹¹)(1.67 × 10⁻²⁷) = 1.23 × 10²⁰ × 10¹⁶ = 1.23 × 10³⁶

Thus, the ratio of electric force and gravitational force is of the order 10³⁶. This means that the value increases drastically.

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The speed of this particle v = 1.16 x 106 m/s

what is speed?

Speed is a measure of how quickly an object is moving. It is usually measured in units of distance traveled per unit of time, such as miles per hour (mph) or kilometers per hour (kph).

Given:

Mass (m) = 4.00 x 10-27 kg

Kinetic Energy (Ek) = 7.60 meV

Solution:

Mass-Energy Equivalence:

Ek = (1/2)mv2

Substituting the given values:

7.60 meV = (1/2)(4.00 x 10-27 kg)v2

Rearranging to isolate the variable:

v2 = (7.60 meV)(2/4.00 x 10-27 kg)

Taking the square root:

v = (√(7.60 meV)(2/4.00 x 10-27 kg))  

v = 1.16 x 106 m/s

Therefore, The speed of this particle v = 1.16 x 106 m/s

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a. -4i^ + 3 j^; 5.0, 37° is vector B, its magnitude and direction.

A vector is a quantity or occurrence with the discrete characteristics of magnitude and direction. Additionally, the phrase signifies how such a quantity is represented mathematically or geometrically. Examples of vectors in nature include weight, force, electromagnetic fields, momentum, and velocity.

Based on the figure = >  A = 4i^

                                        c= -2 j^

A + B + C =  1ȷ^

=> B= 1ȷ^ - 4i^ -(-2 j^)

  => - 4i^ + 3 j^

|B| = sqrt(4^2+3^2) => 5

Direction = tan Ф = 4/3 => 37°

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Infrared, radio waves, visible light, and gamma rays are the electromagnetic waves that travel through space the fastest. All of them move across ether at the same speed.

A division of physics known as electromagnetism studies that electromagnetic force that exists across electrically charged particles. One of the four basic forces, the electromagnetic force, produces magnetic waves such as magnetic, electric, and optical fields.

They are all collectively referred to as electromagnetic radiation. Because the electromagnetic (EM) waves contain oscillating magnetic and electric fields, they are known as electromagnetic waves. From high to low frequency, scientists categorize them based on their frequency and wavelength

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Work done by a force will be the force is in the direction of displacement determined as Force × Displacement in the direction of force.

W = Fd is the formula for the amount of work W that a constant force does on an object. It is determined by dividing the force's intensity by the distance the body travels in the force's direction.

Displacement is simply the distance between an object's starting point and its final location, whereas distance is the length of an object's path. When measured along the shortest path between any two points, displacement is indeed the direct distance between them.

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On the basis of a hubble constant approximately 72 km/s per mpc, D is equal to 833.33 to the cluster.

In cosmology, the Hubble characteristic is a constant of proportionality that describes the relationship between it velocities of far-off objects and their lengths. It conveys the rate of the universe's expansion. most latest accurate measurements of distant objects' motions and distances.

The region whereby the galaxies are moving away from each other faster than the speed of light is known as the Hubble sphere, after Edwin Hubble who found the universe was expanding back in the 1920s. Because they light is more red than it should be, they are almost all moving away from us, which is how we know.

Hubble constant = Mpc

= 60,000 / 72

D = 833.33

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Answer:

Explanation:

it is 20 seconds

The slope of a Resistance vs Length graph is equivalent to

m = ρ/A. Its unit will be mho m⁻².

Given is the graph between resistance and the length of the wire.

We can write the resistance of a wire as -

R = (mL/ne²Aτ)

In this formula, the term -

(m/ne²τ)

represents a constant value called resistivity {ρ}. So, we can write -

R = ρL/A

where the metallic wire is of length {L}, cross - sectional area {A} and resistivity {ρ}.

Now, we can write the slope of resistance {R} and the length of the wire {L} as the ratio of {R} and {L}. So, we can write -

R/L = m

On comparing, we get -

m = ρ/A

Therefore, the slope of a Resistance vs Length graph is equivalent to

m = ρ/A. Its unit will be mho m⁻².

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The volume of the gas will be four times the initial volume, if the kelvin temperature of the of the gas is doubled and the pressure is halved.

Let the initial temperature of the gas = T₁

Let the final temperature of the gas = T₂ = 2T₁

Initial pressure of the gas = P₁

Final pressure of the gas = P₂ = P₁/2

The initial volume = V₁

Final volume of the gas = V₂

We know (P₁V₁)/T₁ = (P₂V₂)/T₂

V₂ = (P₁V₁T₂)/(T₁P₂)

V₂ = (P₁V₁× 2×T₁)/(T₁P₁/2)

V₂ = (P₁V₁× 2×T₁×2)/(T₁P₁)

V₂ = 4V₁

Hence the final volume will be four times the initial volume.

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The change in internal energy of a system is equal to the heat transferred plus the work done on the system.

Internal energy is the energy of a system that is due to its composition and temperature. It is the sum of the kinetic energy and potential energy of all of the components of the system. It is a thermodynamic state function and can be used to calculate other thermodynamic properties such as enthalpy, entropy, and Gibbs free energy.

Given:
Heat transferred = 1550 J
Work done = 640.0 J
Therefore, the change in internal energy of the gas = 1550 J + 640.0 J = 2190 J.
The change in internal energy of a system is equal to the heat transferred to the system plus the work done on the system. In this case, the gas is cooling and being compressed at the same time. The heat transferred to the system is 1550 J and the work done on the system is 640.0 J. The change in internal energy of the gas is equal to the sum of the heat and work, which is 1550 J + 640.0 J = 2190 J.

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The change in internal energy of a system is equal to the heat transferred plus the work done on the system. 2190 J is  the change in internal energy for the gas.

Internal energy is the energy of a system that is due to its composition and temperature. It is the sum of the kinetic energy and potential energy of all of the components of the system. It is a thermodynamic state function and can be used to calculate other thermodynamic properties such as enthalpy, entropy, and Gibbs's free energy.

Given that:

Heat transferred = 1550 J

Work done = 640.0 J

Therefore, the change in internal energy of the gas:

change in internal energy = 1550 J + 640.0 J

change in internal energy = 2190 J.

The change in internal energy of a system is equal to the heat transferred to the system plus the work done on the system. In this case, the gas is cooling and being compressed at the same time. The heat transferred to the system is 1550 J and the work done on the system is 640.0 J. The change in internal energy of the gas is equal to the sum of the heat and work, which is 1550 J + 640.0 J = 2190 J.

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Answer:

Approximately [tex]1.02\; {\rm m}[/tex].

Explanation:

Let [tex]\omega_{0}[/tex] denote the initial angular velocity, and let [tex]\omega_{1}[/tex] denote the final angular velocity. It is given that the initial angular velocity is [tex]\omega_{0} = 17.5\; {\rm s^{-1}}[/tex] and [tex]\omega_{1} = 0\; {\rm s^{-1}}[/tex].

Additionally, let [tex]a[/tex] denote the angular acceleration of this coin. It is given that [tex]a = (-1.66)\; {\rm s^{-2}}[/tex] (negative since angular velocity is slowing down.)

Let [tex]\theta[/tex] denote the angular displacement of the coin. Rearrange the rotational  SUVAT equation [tex]({\omega_{1}}^{2} - {\omega_{0}}^{2}) = 2\, a\, \theta[/tex] to find the angular displacement [tex]\theta[/tex]:

[tex]\begin{aligned}\theta &= \frac{{\omega_{1}}^{2} - {\omega_{0}}^{2}}{2\, a} \\ &= \frac{(0\; {\rm s^{-1}})- (17.5\; {\rm s^{-1}})}{2\, (1.66\; {\rm s^{-2}})} \\ &\approx 92.25 \; (\text{radians})\end{aligned}[/tex].

It is given that the diameter of the coin is [tex]d = 2.21\; {\rm cm} = 0.021\; {\rm m}[/tex].The radius of the coin would be [tex]r = (d/2) = ((0.021\; {\rm m}) / 2) = 0.0105\; {\rm m}[/tex].

The question is asking for the linear displacement of this coin. Under the assumptions, the linear displacement of this coin would be equal to the product of angular displacement (in radians) and the radius of the coin:

[tex]\begin{aligned}x &= r\, \theta \\ &= (0.0105\; {\rm m})\, (92.25) \\ &\approx 1.02\; {\rm m}\end{aligned}[/tex].

Answer:  the acceleration of an object due to earth's gravity is 32 ft/sec2

Explanation:

y = h - gt2/2 = 0; h = gt2/2; v(t) = dy/dt = - gt; t = - v(t)/g; h = g/2·v2(t)/g2 = v2(t)/(2g) = 1252ft2/s2/(2·32ft/s2) =

244.14 ft

Their speed after the collision is 2.5 m/s and their direction is west. The direction after the collision is the direction of the final momentum, in this case, the players are moving in the west direction.

The conservation of momentum principle states that in a closed system, the total momentum before a collision is equal to the total momentum after the collision. The principle is based on the law of conservation of energy and applies to all types of collisions, whether they are elastic or inelastic. The principle is used to calculate the final velocities and direction of motion of objects after a collision. It is widely used in physics and engineering to understand the motion of objects and predict the outcome of collisions.

The speed and direction of the two soccer players after a collision can be determined using the conservation of momentum principle. This principle states that the total momentum of an isolated system remains constant if no external forces are acting on it.

To calculate the final velocity and direction of the two soccer players, we can use the following equation:

p1 + p2 = pf

where p1 is the momentum of the first player, p2 is the momentum of the second player, and pf is the final momentum of the two players after the collision.

p1 = 58kg * 3.75m/s = 217.5 kg m/s (north)

p2 = 56kg * 4.90m/s = 273 kg m/s (west)

pf = p1 + p2 = 490.5 kg m/s

To find the velocity after the collision, we divide the final momentum by the total mass:

v = pf / (m1+m2) = 490.5 / (58+56) = 2.5 m/s

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Using a spectrophotometer, optical density is determined in the experiment.

The optical density of a transparent material is a measure of how quickly light passes through the material. The degree to which any optically dense medium bends transmitted light rays toward or away from the norm is known as its optical density.

The slower the wave moves through the material, the higher the optical density. By examining the material's refractive index, one can establish its optical density. How much slower a light wave would flow through the medium in comparison to how quickly it would go through vacuum is represented by the dimensionless refractive index value.

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The height above the earth where the acceleration due to gravity is 35.0% of its value at the surface is approximately 2.15 times the radius of the earth (or about 15,700km).

The acceleration due to gravity is directly proportional to the distance from the earth's center of mass. As the distance increases, the gravitational force acting on an object decreases, resulting in a lower acceleration due to gravity. This relationship is determined by the inverse-square law, which states that the gravitational force is inversely proportional to the square of the distance from the earth's center of mass. Therefore, as the distance from the earth's center of mass increases, the acceleration due to gravity decreases. This is why objects at higher altitudes experience a weaker gravitational pull than those at sea level.

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Ashley and Miranda slide across the snow together on the inner tube at a velocity of 3.27 m/s.

Velocity is the speed of an object in a particular direction. It describes the rate of change in position of an object, and is a vector quantity that includes both magnitude and direction.

To calculate the combined velocity of Ashley and Miranda, we need to use the equation for momentum. Momentum is equal to mass times velocity, so the equation is P = mv, where m is mass and v is velocity.
We can solve this equation for their combined velocity by adding the momentum of each person. Ashley has a mass of 53 kg and a velocity of 2.1 m/s, so her momentum is mv = 53 x 2.1 = 111.3 kg m/s. Miranda has a mass of 68 kg and a velocity of 4.2 m/s, so her momentum is mv = 68 x 4.2 = 284.6 kg m/s. Add these two momentums together to get the combined momentum of 395.9 kg m/s.
To find the velocity of the two combined on the inner tube, we can divide the combined momentum by the combined mass. The combined mass is 53 kg + 68 kg = 121 kg. Divide the combined momentum of 395.9 kg m/s by the combined mass of 121 kg to get the combined velocity of 3.27 m/s.
Therefore, Ashley and Miranda slide across the snow together on the inner tube at a velocity of 3.27 m/s.

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The final momentum of bumper car 2 is -241.0 kgm/s.

The magnitude of the final momentum of bumper car 2 can be found using the conservation of momentum principle, which states that the total momentum of a closed system remains constant before and after a collision.

To calculate the final momentum of bumper car 2, we can use the following equation:

initial momentum of system = final momentum of system

250.0 + (-320.0) = (-311.0) + final momentum of bumper car 2

-70.0 = (-311.0) + final momentum of bumper car 2

final momentum of bumper car 2 = -241.0 kgm/s

The final momentum of bumper car 2 is -241.0 kgm/s.

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194 V/m is the amplitude of the oscillating electric field.

An oscillating electric field is an electric field that changes its magnitude and direction over time. It is usually described as an alternating current (AC) electric field, which means the electric field varies cyclically, as the current alternately reverses direction. Oscillating electric fields are used in many applications, such as radar and radio communication, wireless power transfer, and medical imaging. They can also be used to create plasma and control particles in particle accelerators.

In order to find electric field, we can use the formula of power density

Pd = E^2 / Z

where:

Pd = power density in W/m^2

Pd = 5mW/cm^2 = 50 W/m^2

E = electric field strength in V/m

Z = impedance of free space = 120 * PI

re-arrange for E

E = sqrt(Pd * Z)

E = 137.3 V/m Note that this is the RMS value.

The peak amplitude of the oscillating field will therefore be 137.3 * sqrt(2) = 194 V/m

Therefore, 194 V/m is the answer.

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The velocity of the boat after both boys jump is -6.46 m/s. The velocity is negative, which means the boat is moving backwards after both of the boys jumps.

Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion. In other words, speed is a scalar value, but velocity is a vector.

We can use the principle of conservation of momentum,

In this case, the closed system is the boat and the two boys. Before they jump, the total momentum of the system is the momentum of the boat (mass * velocity). After they jump, the total momentum of the system is the momentum of the boat plus the momentum of Keith plus the momentum of Nate.

The initial momentum of the boat is 100 kg * 3 m/s = 300 kgm/s

The momentum of Keith as he jumps off the boat is 65 kg * 2 m/s = 130 kgm/s

The momentum of Nate as he jumps off the boat is 68 kg * 4 m/s = 272 kg*m/s

The total momentum of the system before the boys jump is 300 kgm/s

The total momentum of the system after the boys jump is 300 kgm/s + 130 kgm/s + 272 kgm/s = 702 kg*m/s

So, we can set the initial momentum equal to the final momentum:

300 kg*m/s = 100 kg * vf + 130 kg * 2 m/s + 272 kg * 4 m/s

where vf is the final velocity of the boat.

Solving for vf,

vf = (702 kgm/s - 130 kg * 2 m/s - 272 kg * 4 m/s) / 100 kg

vf = (702 - 260 - 1088) kgm/s / 100 kg

vf = -646 kg*m/s / 100 kg

vf = -6.46 m/s

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In order to calculate the instantaneous power, we can use the dot product of the force vector and the velocity vector. The dot product is defined as:

F·V = (4i + 3j - 2k)·(5i + 2j - 3k) = (45) + (32) + (-2*-3) = 20 + 6 - 6 = 20

So the instantaneous power is 20.

To calculate the angle between the force and velocity vectors, we can use the formula:

cos(θ) = (F·V) / (||F|| * ||V||)

where θ is the angle between the vectors, F is the force vector, V is the velocity vector, and ||F|| and ||V|| are the magnitudes of the force and velocity vectors.

First, we need to find the magnitudes:

||F|| = sqrt(4^2 + 3^2 + (-2)^2) = 5

||V|| = sqrt(5^2 + 2^2 + (-3)^2) = sqrt(29)

So we can now calculate the angle:

cos(θ) = (20) / (5 * sqrt(29))

We can get the angle by using the inverse cosine function (arccos)

angle = arccos(cos(θ))

Note that the angle is in radians, if you want to get the angle in degrees, you can use the conversion factor of 180/π.

Option 3 is Correct. When a neutral metal sphere is brought close to a negatively charged rod, an attractive force develops between the two objects.

Given that two metal spheres are in contact with one another and a negatively charged rod is positioned closer to them as shown: Therefore, unbound electrons from the rod will be drawn to the metal spheres.

Both things pick up the same kind of charge while charging through conduction. When a negative object is used to charge a neutral object, both charged items acquire a negative charge. The negatively charged rod must donate electrons to the neutral sphere in order for it to become negative.

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Correct Question:

A negatively charged rod is brought near a neutral metal sphere. Which of the following is true?

1. There is no electric force between the rod and sphere.

2. There is a repulsive force between the rod and sphere.

3.There is an attractive force between the rod and sphere.

Dimensions: Length = 12.45cm +/- 0.05cm, Width = 5.65cm +/- 0.05cm, Height = 2.85cm +/- 0.05cm,Mass = 221.3g +/- 0.1g,Calculation of Density:Volume of Block = Length x Width x Height= 12.45cm x 5.65cm x 2.85cm,= 214.25 cm3 +/- 0.25 cm3,Density = Mass / Volume,= 221.3g / 214.25 cm3,= 1.03 g/cm3 +/- 0.01g/cm3,Calculation of Percent Error:Percent Error = (Calculated Value - Expected Value) / Expected Value x 100,= (1.03 g/cm3 - 2.699g/cm3) / 2.699g/cm3 x 100,= -61.90%.

What is the Calculation ?

Calculation is a process of solving a problem by performing a series of mathematical operations or calculations. It involves the use of numerical data, formulas and equations to arrive at a desired result or answer. Calculations can be done manually or by using computers. Calculations are used in a variety of fields such as engineering, finance, physics and economics. Calculation is a way of problem-solving that is used to gain insight into a problem or to arrive at a solution. It involves a systematic approach to arriving at an answer or solution to a problem.

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The number of feet in the path traced by the inside front wheel in one trip around the circle is Kπ, where K = 12 is an integer.

C=πd or C=2πr are two formulas that can be used to determine a circle's circumference. We can enter the numbers for the circle's diameter, which is 8 cm, and an approximate value for pi, which is 3.14, into the formula C=πd. The equation changes to C=(3.14)(8), which equals 25.12.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from the "center" of the circle. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.

Radius of outside wheel = (r + 6) because the inside wheel is 6 feet apart from the outside wheel.

The inside wheels are rotating at half speed as compared to that of outside wheels,

⇒ 2×Circumference of inside wheel = Circumference of outside wheel

⇒ 2×(2π·r) = 2π × (r+6)

⇒ 2π· r = π· r + 6·π

⇒ π·r = 6·π

⇒ r = 6

The total path traced by the inside front wheel in one trip around the circle = 2π·r

= 2π × 6

= 12·π

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Determine the power provided to the body by replacing the values of potential & current with in expression of power, then determine the heat transfer by replacing  values of power and time in the language of energy.

Energy formula: What is it?

Albert Einstein came up with the equation, generally written as E = mc2, which states that if a body's energy changes by such an amount E (in any form), its mass (m) changes by an equivalent amount to E/c2.

What are energy and its measure?

The capacity to perform work is referred to as energy. A body's capacity for energy is determined by how much work it can accomplish when it is released. A scalar quantity, energy. The SI unit for energy is called a joule. One joule of energy is the amount of energy needed to perform one joule of work.

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The work done against friction produces an increase in the object's internal energy or heat.

When the work is done, energy will also have been transferred to the item, which will cause it to move at a new, constant speed. The mass and achieved speed influence the quantity of kinetic energy that is transferred. Kinetic energy is transferable between objects and can transform into other forms of energy.

According to the work-energy theorem, the amount of work that an external force does on a system is equal to the total of the changes in the system's kinetic and potential energies. W = ΔEm in mathematics.

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Answer: internal energy

Explanation: it is

The speed of the car is 16.32 m/s, when the mass of the car is 1500kg and the kinetic energy is 200kj.

The energy of motion is known as kinetic energy, and it is manifested in the motion of objects and subatomic particles. Every particle and moving object contains kinetic energy. When something moves, such as when someone walks, a baseball soars, a piece of food falls off a table, or a charged particle moves in an electric field, kinetic energy is clearly visible. The kinetic energy of stationary objects is zero.

The potential energy of objects that aren't moving (the other main type of energy). Potential energy becomes kinetic energy when an object is propelled into motion by a force, such as gravity. For instance, a stretched rubber band stores elastic potential energy, which, upon release, is converted into kinetic energy.

The formula for kinetic energy is

K.E. = 1/2m × v²

200(1000j) = 1/2(1500) × v²

200000 =  750 × v²

v² = 200000/750

v² = 266. 6

v = √266. 6

v = 16.32 m/s

Thus,  the speed of the car is 16.32 m/s  

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The object with the greatest inertia is 8 kg bowling ball.

option A is the correct answer.

Newton's first law of motion states that a body at rest or uniform motion in a straight line will continue in that form unless it is acted upon by an external force.

Newton's first law of motion is also called the law of inertia because it depends on the mass of the object.

The inertia of a body or an object is the measure of the reluctance of the body or object to start moving when it is at rest or to to stop moving when it is in motion.

The inertia of an object depends on the mass of the object, thus the greater the mass of an object the greater the inertia of the object and vice versa.

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