A lightweight object and a very heavy object are sliding with equal speeds along

Question

A lightweight object and a very heavy object are sliding with equal speeds along a level frictionless surface. They both slide up the same frictionless hill with no air resistance. Which object rises to a greater height? Select one O a. The heavy object, because it has more mass to carry it up the hill. O b. The lightweight object, because the force of gravity on it is less. c. The light object, because gravity slows it down less. O d. The heavy object, because it has greater initial kinetic energy. e. They both slide to exactly the same height

Explanation / Answer

The correct answer is Option E (They both slide to exactly the same height)

The kinetic energy by the block will be converted into the potential energy at the time when it reaches the highest height

Kinetic Energy = 1/2 * m * v^2

Potential Energy = mgh

1/2 * m * v^2 = mgh

h = (v^2/2g)

Hence only the velocity will affect the height, since velocity for both of them is same, hence both of them will be raised to the same height

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