A classical mechanics problem by samarth banerjee

Classical Mechanics Level 2

A Body of mass 10 kg is released from a point where it possesses an energy of 1920.8J .Find the velocity with which it hits the ground?

20.1 m/s 19.6 m/s 19.5 m/s 19.8 m/s

Samarth Banerjee by samarth banerjee , 19, India

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1 solution

Tom Engelsman
Mar 1, 2019

By the Law of Conservation of Energy, we require:

P.E. = K.E.

if the gravitational potential energy is given to be 1920.8 J, then we have: 1 2 m v 2 = 1920.8 ⇒ v = 1920.8 ⋅ 2 m = 1920.8 ⋅ 2 10 ≈ 19.6 \frac{1}{2}mv^2 = 1920.8 \Rightarrow v = \sqrt{\frac{1920.8 \cdot 2}{m}} = \sqrt{\frac{1920.8 \cdot 2}{10}} \approx \boxed{19.6} m/s.

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