The kinetic energy of the block will be greatest when it reaches point C, therefore the correct answer is option C.
What is mechanical energy?
Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total potential energy stored energy in the system which is represented by total potential energy.
ME = KE + PE
As given in the problem a cart with an initial velocity of 1.0 m/s sliding along a frictionless track from point A
A 2-kilogram cart is at point A on a track 2.5 meters above ground with a velocity of 1 meter per second. The track drops down through point B to the bottom of track point C. Then the track curves up through point D, which is at the same height as point B. The track goes through point E 3 meters above the ground.
As we know that total mechanical energy is the sum of the potential and kinetic energy, these two energies interconvert into each other as there is variation in the height, at the bottom-most amount of the potential energy gets converted into the kinetic energy therefore at the bottom-most point the kinetic energy is maximum
Thus, The kinetic energy of the block will be greatest when it reaches point C
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