Question

The magnitude of the force involved in a certain collision (measured in newtons) is equal to the change in momentum (measured in kilogram meters/second). What is the time interval of the collision?

Answer 1

Answer:

The time-interval of the collision is $t=\frac{{\Delta}p}{F}$

Explanation:

As given the force is equal to the rate of change of momentum. Mathemticaly this is:

$F=\frac{dp}{dt}.$

We can rearrange this equation to solve for ${\delta}t$ which gives

$t=\frac{{\Delta}p}{F}$

which is our answer.

In words this means the time interval is equal to the momentum change in that interval divided by the force applied that caused this momentum change.