A heavy ball falls on a thick bed of wet sand from different heights $50 cm, 1 m$ and $2 m$ , respectively, and the depressions created in the wet sand are carefully measured. The deepest impression will be formed by ___

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Ball falling from

50 cm

Ball falling from

1 m

Ball falling from

2 m

All of the impressions will be of the same depth

answer is C.

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Detailed Solution

A heavy ball falls on a thick bed of wet sand from different heights of

50 cm, 1 m

and

2 m,

respectively, and the depressions created in the wet sand are carefully measured. The deepest impression will be formed by the ball falling from

2 m .

The potential energy of the ball falling from

2 m

will be the highest as the P.E. of an object is directly proportional to the height the object is raised to. Therefore, it’ll have the highest K.E. when it reaches the ground. All that kinetic energy will be used to displace the sand. Therefore, the ball falling from