Two bowling balls, each with a mass of 8.52 kg, are traveling toward each other. Find the total momentum of the system if both balls have a speed of 2.13 m/s, but are traveling opposite of one another.
Answers
Answer:
total momentum will be zero
refer to the attachment .......
Given: Mass of the balls = 8.52kg
Speed of the balls = 2.13 m/s
Both balls are moving towards each other
To Find: Momentum of the system
Solution:
Since both the balls are moving in opposite directions, the velocity of one can be considered as positive and the other as negative.
Let ball 1 be moving in the positive direction
The velocity of ball 1 (v1) = +2.13m/s
Let ball 2 be moving in the negative direction
The velocity of ball 2 (v2) = -2.13m/s
Momentum of a body = Mass of the body x Velocity of the body
The momentum of ball 1 = Mass of the ball x Velocity of ball 1
= 8.52 x 2.13
= 18.15 kg-m/s
The momentum of ball 2 = Mass of the ball x Velocity of ball 2
= 8.52 x -2.13
= - 18.15 kg-m/s
Momentum of the system = Momentum of ball 1 + Momentum of ball 2
= 18.15 + (-18.15)
= 18.15 - 18.15
= 0
Therefore, the momentum of the system is zero.