Question

A force in the negative x-direction is applied for 27 ms to a 0.4 kg mass initially moving at 14 m/s in the x-direction. The force varies in magnitude and delivers an impulse with a magnitude of 32.4 N-s. What is the mass's velocity in the x-direction

Answer 1

-67 m/s

Step-by-step explanation:

We are given that

Mass of ball,m=0.4 kg

Initial speed,u=14 m/s

Impulse,I=-32.4 N-s

Time,t=27 ms=
`27* 10^(-3) s`

We have to find the mass's velocity in the x- direction.

We know that

`Impulse=mv-mu`

Substitute the values

`-32.4=0.4v-0.4(14)`

`-32.4+0.4(14)=0.4 v`

`-26.8=0.4v`

`v=(-26.8)/(0.4)=-67m/s`