Problem 5: One ball of mass 0.600 kg traveling 9.00 m/s to the right collides head on elastically with a second ball of mass 0.300 kg traveling 8.00 m/s to the left. What are their velocities after the collision?

Given Assume the sign of the velocity of the ball traveling to right is positive and that to the left is negative.

m_{1} = 0.600 kg u_{1} = 9.00 m/s

m_{2} = 0.300 kg u_{2} = – 8.00 m/s

Required v_{1} and v_{2}

Formula If m_{1} is the mass of the first body moving with velocity u_{1} and m_{2} is the mass of the second body moving with velocity u_{2}, then their respective velocities v_{1} and v_{2} after collision are given by

Solution

Put the values in the above formulae to find velocities after collision.

This is the velocity of the ball of mass 0.600 kg, now moving to the left.

Put values in the second formula to find the velocity of the second ball.

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