65 In Fig. 7-45, a cord runs around two massless, frictionless pul- leys. A canister with mass m = 20 kg hangs from one pulley, and you exert a force F on the free end of the cord. (a) What must be the magnitude of F if you are to lift the canister at a constant speed? (b) To lift the canister by 2.0 cm, how far must you pull the free end of the cord? During that lift, what is the work done on the canister by (c) your force (via the cord) and (d) the gravitational force? (Hint: When a cord loops around a pulley as shown, it pulls on the pulley with a net force that is twice the tension in the cord.) m Fig. 7-45 Problem 65.

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65 In Fig. 7-45, a cord runs around two massless, frictionless pul-
leys. A canister with mass m = 20 kg hangs from one pulley, and
you exert a force F on the free end of the cord. (a) What must be
the magnitude of F if you are to lift the canister at a constant
speed? (b) To lift the canister by 2.0 cm, how far must you pull the
free end of the cord? During that lift, what is the work done on the
canister by (c) your force (via the cord) and (d) the gravitational
force? (Hint: When a cord loops around a pulley as shown, it pulls
on the pulley with a net force that is twice the tension in the cord.)
FV
Fig. 7-45 Problem 65.
Transcribed Image Text:65 In Fig. 7-45, a cord runs around two massless, frictionless pul- leys. A canister with mass m = 20 kg hangs from one pulley, and you exert a force F on the free end of the cord. (a) What must be the magnitude of F if you are to lift the canister at a constant speed? (b) To lift the canister by 2.0 cm, how far must you pull the free end of the cord? During that lift, what is the work done on the canister by (c) your force (via the cord) and (d) the gravitational force? (Hint: When a cord loops around a pulley as shown, it pulls on the pulley with a net force that is twice the tension in the cord.) FV Fig. 7-45 Problem 65.
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