Best Answer:
Work = Force * distance

Force = mass * acceleration

Work = (mass * acceleration) * distance

As you push a cart, it accelerates. This means the velocity of the cart is increasing.

Kinetic energy = ½ * mass * velocity^2

As you push a cart a specific distance, the kinetic energy of the cart is increasing.

The work that you did caused the kinetic energy of the cart to increase.

Work = Increase of KE

When you stop pushing the cart, the friction force will cause the cart to decelerate. The work done by the friction force caused the kinetic energy of the cart to decrease.

Work = Decrease of KE

Work = Force * distance

When you lift an object, its height increases. The force required to lift an object at a constant speed is the weight of the object. The distance the object moved is equal to the increase of the height.

Force = mass * g, Distance = Increase of height

Work = mass * g * Increase of height

Increase of potential energy = mass * g * Increase of height

The work that you did as you lifted the object a specific distance is equal to the increase of the object’s potential energy.

I hope this helps you understand how work is related to kinetic and potential energy!

Work = Force * distance

Force = mass * acceleration

Acceleration = (vf – vi) ÷ t

Force = m * (vf – vi) ÷ t

In units, Force = (kg * m/s) ÷ s = kg * m/s^2

In units, Distance = meter = m

In units, Work = (kg * m/s^2) * m = kg * m^2/s^2 = kg * (m/s)^2

KE = ½ * mass * velocity^2

In units, KE = kg * (m/s)^2

PE mass * g * h

In units, PE = kg * m/s^2 * m = kg * m^2/s^2 = kg * (m/s)^2

Work, kinetic energy, and potential energy have the same units, because they are all measuring energy!

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