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