Question

A stone is dropped from a height h. It hits the ground with a certain momentum P. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground is changed by

Answer 1

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Answer 2

The momentum when it hits the ground is changed by 41%

Explanation:

velocity (v) = √2gh ............ i

momentum (p) = mv ........... ii

Equation i and ii gives

p∝ √h

now,

p2/p1  = √h2/h1

p2/ P1  = √2h / h

            = √2

p2  = 1.414 p1

% change = p2-p1/p1 X 100

                  = 41%

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