A man of mass mi = 70.0 kg is skating at v = 8.00 m/s behind his wife of mass m, = 50.0 kg, who is skating at vz = 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. (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? O elastic O inelastic O perfectly inelastic (c) Why?

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A man of mass m1 =
70.0 kg is skating at v1
8.00 m/s behind his wife of mass m2
50.0 kg, who is skating at v2 = 4.00 m/s. Instead of passing her, he inadvertently collides with her. He grabs her
%3D
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?
elastic
inelastic
perfectly inelastic
(c) Why?
(d) 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.)
(e) Solve the momentum equation for Vf. (Use the following as necessary: m1, V1, m2, v2. Do not substitute numerical values; use variables only.)
Vf =
(f) Substitute values, obtaining the numerical value for Vf, their speed after the collision.
Vf, couple =
m/s
Vf, man
m/s
%3D
Vf, wife
m/s
Transcribed Image Text:A man of mass m1 = 70.0 kg is skating at v1 8.00 m/s behind his wife of mass m2 50.0 kg, who is skating at v2 = 4.00 m/s. Instead of passing her, he inadvertently collides with her. He grabs her %3D 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? elastic inelastic perfectly inelastic (c) Why? (d) 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.) (e) Solve the momentum equation for Vf. (Use the following as necessary: m1, V1, m2, v2. Do not substitute numerical values; use variables only.) Vf = (f) Substitute values, obtaining the numerical value for Vf, their speed after the collision. Vf, couple = m/s Vf, man m/s %3D Vf, wife m/s
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The mass of the man, m1=70.0 kg

The velocity of the man, v1=8.00 m/s

The mass of the man's wife, m2=50.0 kg

The velocity of the man's wife, v2=4.00 m/s

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