## Jack and Jill are maneuvering a 3100 kg boat near a dock. Initially the boat’s position is < 2, 0, 3 > m and its speed is 1.6 m/s. As

Question

Jack and Jill are maneuvering a 3100 kg boat near a dock. Initially the boat’s position is < 2, 0, 3 > m and its speed is 1.6 m/s. As the boat moves to position < 6, 0, 1 > m, Jack exerts a force of < -440, 0, 220 > N, and Jill exerts a force of < 170, 0, 340 > N.

How much work does Jack do?
How much work does Jill do?

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5 months 2021-08-31T05:58:54+00:00 1 Answers 3 views 0

(a) work done by Jack is -2200J

(b) work done by Jill is 0

Explanation:

Given;

Initially boat’s position =  < 2, 0, 3 > m

Final boat’s position = < 6, 0, 1 > m

change in position = < 4, 0, -2 >

Force exerted by Jack =  < -440, 0, 220 > N

Force exerted by Jill = < 170, 0, 340 > N

Part (a) How much work does Jack do?

work done = force x distance

Jack’s work = < -440, 0, 220 > N x < 4, 0, -2 > m

= [(-440*4) + (0*0) + (220*-2)]

= -1760 J – 440 J

= -2200J

Part (b) How much work does Jill do?

Jill’s work = < 170, 0, 340 > N x < 4, 0, -2> m

= [(170*4) + (0*0) + (340*-2)]

= 680 J – 680 J

= 0