Jack and Jill are maneuvering a 3100 kg boat near a dock Ini

Jack and Jill are maneuvering a 3100 kg boat near a dock. Initially the boat\'s position is lesserthan 2, 0, 3 greaterthan m and its speed is 1.9 m/s. As the boat moves to position lesserthan 8, 0, 0 greaterthan m, Jack exerts a force of lesserthan -420, 0, 210 greaterthan N, and Jill exerts a force of lesserthan 180, 0, 360 greaterthan N. How much work does Jack do? W_Jack = How much work does Jill do? W_Jill =

Solution

delta r = (8, 0 , 0) - (2, 0, 3) = (6, 0, -3)

Amount of work done by jack

= F . delta r

= (-420, 0, 210) * (6, 0, -3)

= -2520 - 630 = -3150 N.m

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Amount of work done by jill

= F . delta r

= (180, 0, 360) * (6, 0, -3)

= 1080 - 1080

= 0 N.m