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28 February, 09:27

a) How much work is done in lifting a 1.2-kg book off the floor to put it on a desk that is 0.5 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 19-lb weight 8 ft off the ground?

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  1. 28 February, 12:39
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    a) 5.88Nm b) 206.30Nm

    Explanation:

    Work is said to be done when a force applied to an object causes the object to change its position.

    Mathematically, work done = Force * Distance

    Given distance = height = 0.5m

    Force = weight of the object = mass * acceleration due to gravity

    Weight = 1.2*9.8

    Weight = 11.76N

    Work done = 11.76 * 0.5

    Work done = 5.88Nm

    b) Using similar formula as in question a;

    Work done = Force * Distance

    Given weight = 19lb

    Since 1lb = 4.45N

    19lb weight = 19*4.45 = 84.55N

    Distance of object from the ground = 8ft

    Since 1ft = 0.305m

    8ft = 0.305*8 = 2.44m

    Work done = 84.55*2.44

    Work done = 206.30Nm
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