What is the recoil speed of the pitching machine?
A 50-kg pitching machine (excluding the baseball) is placed on a frozen pond. The machine fires a 0.40-kg baseball with a speed of 35 m/s in the horizontal direction. What is the recoil speed of the pitching machine? (Assume negligible friction)
Apply the law of conservation of momentum.
Before you fire, the system pitching machine + ball is at rest, the total momentum is 0.
When you fire, both the machine and the ball move, but the total momentum should remain 0, because there is no outer force (e.g. friction) acting on the system.
Let m1, m2 be the masses of the machine and the ball, v1, v2 their respective velocities.
m1v1 + m2v2 = 0
v1 = -v2(m2/m1)
v1 = -35(0.4/50) = -0.28 m/s
The recoil speed is 0.28 m/s
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One Response to “What is the recoil speed of the pitching machine?”
May 14th at 2:29 pm By: gile
Apply the law of conservation of momentum.
Before you fire, the system pitching machine + ball is at rest, the total momentum is 0.
When you fire, both the machine and the ball move, but the total momentum should remain 0, because there is no outer force (e.g. friction) acting on the system.
Let m1, m2 be the masses of the machine and the ball, v1, v2 their respective velocities.
m1v1 + m2v2 = 0
v1 = -v2(m2/m1)
v1 = -35(0.4/50) = -0.28 m/s
The recoil speed is 0.28 m/s
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