An object is dropped from a height h from the ground. Every time it hits the ground it loses 50 % of its kinetic energy. The total distance covered as t is:

JEE Main 2017 Physics question

Physics Motion in a Straight Line JEE Main 2017

An object is dropped from a height from the ground. Every time it hits the ground it loses of its kinetic energy. The total distance covered as is:

(1)Correct
(2)
(3)
(4)

Answer: (1)

Solution

The object arrives at the ground with kinetic energy . Losing half at each bounce, it leaves with , so it rises to a height ; after the next impact it rises to , and so on. The distances travelled are: the first fall , then a rise and fall of each, then a rise and

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Question ID VK-115766