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Work, Energy And Power

Question
CBSEENPH11026210

If we throw a body upwards with velocity of 4 m/s, at what height does its kinetic energy reduce to half of the initial value? ( Take g = 10 ms-1 )

  • 4 m

  • 2 m

  • 1m

  • 0.4 m

Solution

D.

0.4 m

At a given height the half of the kinetic energy of the body is equal to the potential energy.

Initial kinetic energy of the body

                           = 12mv2

                          = 12 m 42

                            = 8 m

Let at height h, the kinetic energy reduces to half, i.e, it becomes 4 m. It is also equal to potential energy. Hence

                  mgh = 4 m

                    h = 4g        = 410

                          h = 0.4 m