(a) How much work is done in lifting a 1.3-kg book off the floor to put it on a desk that is 0.9 m high? Use the fact that the acceleration due to gravity is g = 9.8 m/s². (b) How much work is done in lifting a 21-lb weight 4 ft off the ground? olution (a) The force exerted is equal and opposite to that exerted by gravity, so the force is F = m = mg = (1.3) (9.8) = d²s dt² and then the work done is W = Fd= (0.9) = N J. (b) Here the force is given as F= 21 lb, so the work done is W = Fd = 21.4 = ft-lb. Notice that in part (b), unlike part (a), we did not have to multiply by g because we were given the weight (which is a force) and not the mass of the object.
(a) How much work is done in lifting a 1.3-kg book off the floor to put it on a desk that is 0.9 m high? Use the fact that the acceleration due to gravity is g = 9.8 m/s². (b) How much work is done in lifting a 21-lb weight 4 ft off the ground? olution (a) The force exerted is equal and opposite to that exerted by gravity, so the force is F = m = mg = (1.3) (9.8) = d²s dt² and then the work done is W = Fd= (0.9) = N J. (b) Here the force is given as F= 21 lb, so the work done is W = Fd = 21.4 = ft-lb. Notice that in part (b), unlike part (a), we did not have to multiply by g because we were given the weight (which is a force) and not the mass of the object.
College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:(a) How much work is done in lifting a 1.3-kg book off the floor to put it on a desk that is 0.9 m high? Use the fact that the acceleration due to gravity is g = 9.8 m/s².
(b) How much work is done in lifting a 21-lb weight 4 ft off the ground?
Solution
(a) The force exerted is equal and opposite to that exerted by gravity, so the force is
F = m = mg = (1.3) (9.8) =
d²s
dt²
and then the work done is
W = Fd =
(0.9) =
N
J.
(b) Here the force is given as F = 21 lb, so the work done is
W = Fd = 21. 4 =
ft-lb.
Notice that in part (b), unlike part (a), we did not have to multiply by g because we were given the weight (which is a force) and not the mass of the object.
Expert Solution

Step 1: Introduce the formula of workdone
The work done is the product of force and displacement along the force direction.
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