a 50 kg pitching machine (excluding the baseball) is placed on frozen pond, the machine fires a 0.40 kg baseball with a speed of 35m/s in the horizontal direction. What is the recoil velocity of the pitching machine? (assume negligible friction)
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Mass of pitching machine = M = 50kg
Recoil velocity of machine = V = ?
Mass of baseball = m = 0.4kg
Velocity of baseball = v = 35m/s
Using conservation of linear momentum,
MV = -mv
(-ve sign indicates that recoil velocity and velocity of ball are opposite in direction)
V = -mv/M
V = -0.4*35/50
V = -0.28m/s
Hence the machine will slide on the frozen pond with a recoil velocity of 0.28m/s in the opposite direction as of the baseball
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