Question

A force of 12 N changes the momentum of a toy car from 3kgm/s t0 10kgm/s. Calculate the time the force took to produce this change in momentum.

Answer 1

Time = 0.58 seconds

Step-by-step explanation:

Given the following data;

Initial momentum = 3 kgm/s

Final momentum = 10 kgm/s

Force = 12 N

To find the time required for the change in momentum;

First of all, we would determine the change in momentum.

`Change \; in \; momentum = final \; momentum - initial \; momentum`

`Change \; in \; momentum = 10 - 3`

Change in momentum = 7 kgm/s

Now, we can find the time required;

Note: the impulse of an object is equal to the change in momentum experienced by the object.

Mathematically, impulse (change in momentum) is given by the formula;

`Impulse = force * time`

Making "time" the subject of formula, we have;

`Time = \frac {impulse}{force}`

Substituting into the formula, we have;

`Time = \frac {7}{12}`

Time = 0.58 seconds