please help me solve this problem A man of mass m 1 = 60.0 kg is skating at v 1

Question

please help me solve this problem  A man of mass m1 = 60.0 kg is skating at v1 = 7.00 m/s behind his wife of mass m2 = 53.0 kg, who is skating at v2 = 2.00 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. (Do this on paper. Your instructor may ask you to turn in this work.)

(b) Is the collision best described as elastic, inelastic, or perfectly inelastic?

Why?

This answer has not been graded yet.

(c) Write the general equation for conservation of momentum in terms of m1, v1, m2, v2, and final velocity vf. (Do this on paper. Your instructor may ask you to turn in this work.)

(d) Solve the momentum equation for vf. (Use the following as necessary: m1, v1, m2, v2. Do not substitute numerical values; use variables only.)
vf =

(e) Substituting values, obtain the numerical value for vf, their speed after the collision

Explanation / Answer

(b) The collision is perfectly inelastic as the two bodies are moving together with same velocity after collision.

(c) m1v1 + m2v2 = (m1+m2)Vf

ie Vf = m1v1 + m2v2 / (m1+m2)

(d)

Vf = (60x7 + 53 x2) / (60 + 53) = 4.65 m/sec

Therefore, the answer is 4.65 m/sec

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