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Physics / College Physics 1 / Chapter 8 / Problem 9

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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Under what circumstances is momentum conserved?

Chapter 8, Problem 9

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QUESTION:

Problem 9CQ

Under what circumstances is momentum conserved?

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QUESTION:

Problem 9CQ

Under what circumstances is momentum conserved?

ANSWER:

Solution 9CQ

Conservation of momentum refers that the magnitude of momentum of a system is constant. This happens when no external force acts on the system.

Step 1 of 3

If $F$ is the external force acting on a body of mass $m$ and changes its velocity from $u$ to $v$ in time $t$ , then its change in momentum is given by $=m(v-u)$

The rate of change of momentum of the body $=\frac{m(v-u)}{t}$

$=m\times{}a$

$=F$

Where, acceleration $a=\frac{v-u}{t}$

Therefore, the rate of change of momentum is nothing but force.

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