Question

a soccer ball with a mass of 0.5 kg is kicked, changing its velocity from 2 m/s to 12 m/s in 0.1 seconds. what is the impulse applied to the ball?
a. 5 n·s
b. 10 n·s
c. 50 n·s
d. 100 n·s

Explanation:

Step1: Recall the formula for impulse

Impulse \(J=\Delta p = m\Delta v\), where \(m\) is mass and \(\Delta v\) is change in velocity.

Step2: Calculate \(\Delta v\)

\(\Delta v=v_{f}-v_{i}\), \(v_{f} = 12\space m/s\), \(v_{i}=2\space m/s\), so \(\Delta v=12 - 2=10\space m/s\)

Step3: Calculate impulse

\(m = 0.5\space kg\), \(J=m\Delta v=0.5\times10 = 5\space N\cdot s\)

Answer:

A. \(5\space N\cdot s\)