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Why can it hurt your foot more to kick a big rock than a

Chapter 7, Problem 19DQ

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QUESTION:

Why can it hurt your foot more to kick a big rock than a small pebble? ?Must? the big rock hurt more? Explain.

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QUESTION:

Why can it hurt your foot more to kick a big rock than a small pebble? ?Must? the big rock hurt more? Explain.

ANSWER:

Solution to 19DQ Step 1 Any impact on a body is measured by the change in momentum of the body. Momentum is given by the product of mass and its velocity. Consider that a person is kicking a pebble of mass ‘m’ with a velocity ‘v’. With the same velocity, the person kicks a big rock of mass ‘M’. Momentum of small pebble p =mv 1 Momentum of the big rock p =Mv 2 Since M>m Therefore, p >p 2 1 The momentum delivered in the second case is much higher than the first case.

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