A man of mass m 1 = 70.0 kg is skating at v1 = 8.00 m/sbehind his wife of mass m 2 = 50.0 kg, who is skating at v2 = 4.00 m/s. Instead of passing her, he inadvertently collideswith her. He grabs her around the waist, and they maintaintheir balance. (a) Sketch the problem with before - and - afterdiagrams, representing the skaters as blocks. (b) Is the collisionbest described as elastic, inelastic, or perfectly inelastic? Why?(c) Write the general equation for conservation of momentumin terms of m 1, v 1, m 2, v 2, and final velocity vf . (d) Solve themomentum equation for vf . (e) Substitute values, obtaining thenumerical value for vf , their speed after the collision.

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