Question

A car collides into a concrete wall going 25.0 m/s . It stops in 0.141 seconds and has a change in momentum of 39,400. What is the mass of the car?

Answer 1

Mass of the car is 1576 kg.

Step-by-step explanation:

Let the mass of the car be
`m` kg.

Given:

Initial velocity of the car is,
`u=25\ m/s`

As the car stops, final velocity of the car is,
`v=0\ m/s`

Change in momentum is,
`\Delta p=39400`

Now, we know that, momentum is given as the product of mass and velocity.

So, change in momentum is given as:

`\Delta p=m(u-v)\\39400=m(25-0)\\39400=25m\\m=(39400)/(25)\\m=1576\ kg`

Therefore, the mass of the car is 1576 kg.