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Crate on an Incline To push a 20.0 kg crate up a frictionless incline, angled at

ID: 1742624 • Letter: C

Question

Crate on an Incline To push a 20.0 kg crate up a frictionless incline, angled at11.0° to the horizontal, a workerexerts a force of magnitude 270 N parallelto the incline. The crate slides 1.15 m. (a) How much work is done on the crate by theworker's applied force?
1 J
(b) How much work is done on the crate by the gravitationalforce?
2 J
(c) How much work is done on the crate by the normal force exertedby the incline on the crate?
3 J
(d) What is the total work done on the crate?
4 J (a) How much work is done on the crate by theworker's applied force?
1 J
(b) How much work is done on the crate by the gravitationalforce?
2 J
(c) How much work is done on the crate by the normal force exertedby the incline on the crate?
3 J
(d) What is the total work done on the crate?
4 J

Explanation / Answer

mass of the crate m = 20 kg angle = 11 degrees applied force F = 270 N distance moves S = 1.15 m (1). work is done on the crate by the worker's applied force =F S (2). work is done on the crate by the gravitational force = - mg sin * S (3). work is done on the crate by the normal force exerted bythe incline on the crate = 0 Since normal force and displacement are perpendicular to eachother (d). total work done W = FS - mg sin * S