Two crates of mass m1 = 16 kg and m2 = 8.8 kg are connected by a rope that passes over a frictionless pulley of mass mp = 7.9 kg and radius 0.20 m as shown in the figure below. The crates are released from rest. Crate 1 falls a distance of h = 2.1 m, at which time its speed is vf. A) What are the total initial and final kinetic energies of the system? Express your answers in terms of vf. (Use the following as necessary: h for the distance m1 has fallen, g, m1, m2, mp, and vf.) B) What is the final potential energy of the system? (Assume the initial potential energy is 0. Use the following as necessary: h for the distance m1 has fallen, g, m1, m2, mp, and vf. ) C) What is the final speed vf of the crates?

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Two crates of mass m1 = 16 kg and m2 = 8.8 kg are connected by a rope that passes over a frictionless pulley of mass mp = 7.9 kg and radius 0.20 m as shown in the figure below.

The crates are released from rest. Crate 1 falls a distance of h = 2.1 m, at which time its speed is vf.

A) What are the total initial and final kinetic energies of the system? Express your answers in terms of vf. (Use the following as necessary: h for the distance m1 has fallen, gm1m2mp, and vf.)

B) What is the final potential energy of the system? (Assume the initial potential energy is 0. Use the following as necessary: h for the distance m1 has fallen, gm1m2mp, and vf. )

C) What is the final speed vf of the crates?

D) What is the final angular velocity of the pulley?

mpulley
m2
Transcribed Image Text:mpulley m2
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