In the figure below, a cord runs around two massless, frictionless pulleys. A canister with mass m = 15 kg hangs from one pulley, and you exert a force F on the free end of the cord. (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 (a) What must be the magnitude of F if you are to lift the canister at a constant speed? N (b) To lift the canister by 2.5 cm, how far must you pull the free end of the cord? cm

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
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In the figure below, a cord runs around two massless, frictionless pulleys. A canister with mass m = 15 kg hangs from one pulley, and you exert a force F on the free end of
the cord. (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
(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 2.5 cm, how far must you pull the free end of the cord?
cm
(c) During that lift, what is the work done on the canister by your force (via the cord)?
(d) What is the work done on the canister by the gravitational force on the canister?
Transcribed Image Text:In the figure below, a cord runs around two massless, frictionless pulleys. A canister with mass m = 15 kg hangs from one pulley, and you exert a force F on the free end of the cord. (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 (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 2.5 cm, how far must you pull the free end of the cord? cm (c) During that lift, what is the work done on the canister by your force (via the cord)? (d) What is the work done on the canister by the gravitational force on the canister?
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