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A 26.5-g object moving to the right at 20.5 cm/s overtakes and collides elastically with a 12.5-g object moving in the same direction at 15.
Question
A 26.5-g object moving to the right at 20.5 cm/s overtakes and collides elastically with a 12.5-g object moving in the same direction at 15.0 cm/s. Find the velocity of each object after the collision. (Take the positive direction to be to the right. Indicate the direction with the sign of your answer.)
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Physics
3 years
2021-07-27T14:19:24+00:00
2021-07-27T14:19:24+00:00 1 Answers
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Answers ( )
Answer:
v₁ =0.19 m/s and v₂ = 0.18 m/s
Explanation:
By conservation of energy and conservation of momentum we can find the velocity of each object after the collision:
Momentum:
Before (b) = After (a)
(1)
Energy:
Before (b) = After (a)
(2)
From equation (1) we have:
(3)
Now, by entering equation (3) into (2) we have:
(4)
By solving equation (4) for , we will have two values for
We will take the average of both values:
Now, by introducing this value into equation (3) we can find :
Therefore, the velocity of object 1 and object 2 after the collision is 0.19 m/s and 0.18 m/s, respectively.
I hope it helps you!