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Original Question
Imagine two billiard balls on a pool table. Ball A has a mass of 2 kilograms and ball B has a mass of 3 kilograms. The initial...Asked by John
Imagine two billiard balls on a pool table. Ball A has a mass of 7 kilograms and ball
B has a mass of 2 kilograms. The initial velocity of the ball A is 6 meters per second
to the right, and the initial velocity of the ball B is 12 meters per second to the left.
2. Compare the final velocity of the balls.
3. What can you say about the total momentum before and after the collision?
B has a mass of 2 kilograms. The initial velocity of the ball A is 6 meters per second
to the right, and the initial velocity of the ball B is 12 meters per second to the left.
2. Compare the final velocity of the balls.
3. What can you say about the total momentum before and after the collision?
Answers
Answered by
Honey
Energy and Momentum conservation applies;
Momentum:
7*6+2*(-12)=7Va+2Vb
Energy:
7/2*6^2+2/2*(-12)^2=7/2 * Va^2+2/2*Vb^2
On first equation, solve for either of the velocity. For example, Va
7Va=-2Vb+42-24
Now, put that term on the right into the energy equation for Va, and solve for Vb. Once you get Vb, go back and solve for Va and compare them
Momentum:
7*6+2*(-12)=7Va+2Vb
Energy:
7/2*6^2+2/2*(-12)^2=7/2 * Va^2+2/2*Vb^2
On first equation, solve for either of the velocity. For example, Va
7Va=-2Vb+42-24
Now, put that term on the right into the energy equation for Va, and solve for Vb. Once you get Vb, go back and solve for Va and compare them
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