Question

1. two tennis balls are thrown at each other. what is the change in momentum of each ball if they are both thrown with the same mass of 0.057 kg at 8 m/s and come to a complete stop?

• 0.912 n*s

0.456 n*s

• 0.456 n*s

0.912 n*s

Explanation:

Step1: Recall the formula for momentum

The formula for momentum is \(p = mv\), where \(m\) is the mass and \(v\) is the velocity.

Step2: Calculate the initial momentum of each ball

Given \(m = 0.057\space kg\) and \(v = 8\space m/s\). So, \(p_{initial}=mv=(0.057)(8)=0.456\space N\cdot s\)

Step3: Determine the final momentum

Since the balls come to a complete stop, \(v_{final} = 0\space m/s\). So, \(p_{final}=mv=(0.057)(0) = 0\space N\cdot s\)

Step4: Calculate the change in momentum

The change in momentum \(\Delta p=p_{final}-p_{initial}\). Substituting the values, \(\Delta p=0 - 0.456=- 0.456\space N\cdot s\)

Answer:

• 0.456 N·s