A 5.40-kg ball, moving to the right at a velocity of +2.20 m/s on a frictionless

Question

A 5.40-kg ball, moving to the right at a velocity of +2.20 m/s on a frictionless table, collides head-on with a stationary 7.60-kg ball. Find the final velocities of the balls if the collision meet the following conditions.

Explanation / Answer

a) Elastic collision ---> Kinetic energy is conserved and momentum is conserved m1v1 + m2v2 = m1v'1 + m2v'2 m1v1^2 + m1v2^2 = m1v'1^2 + m2v'2^2 but m2 = 0 Therefore m1v1 = m1v'1 + m2v'2 m1v1^2 = m1v'1^2 + m2v'2^2 b) completely inelastic collision means that the two carts stick together and therefore have the same final velocity. v'1 = v'2 and since momentum is always conserved, m1v1^2 + m1v2^2 = m1v'1^2 + m2v'2^2 but v'1 = v'2 (..... = v') and v2 = 0

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