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

Answer:

-67 m/s

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=$27\times 10^{-3} s$

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

We know that

$Impulse=mv-mu$

Substitute the values

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

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

$-26.8=0.4v$

$v=\frac{-26.8}{0.4}=-67m/s$