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You pull your little sister across a flat snowy field on a sled. Your sister plus the sled have a mass of . The rope is at an angle of 45 degrees to the ground. As you pull with a force of , the sled travels a distance of . How much work do you do

User Mkhuete
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1 Answer

4 votes

Answer:

W = 0.7071 F x, W = 35.355 J

Step-by-step explanation:

Work is defined

W = F. d

bold indicates vectors,

W = F d cos θ

where the angle is between force and displacement.

As the system runs on snow, the friction force is negligible, therefore

W = F x cos 45

W = 0.7071 F x

Unfortunately the values ​​of the force and the distance do not appear, suppose that the force is F = 10 N and the distance x = 5m

W = 0.7071 10 5

W = 35.355 J

Work is positive because force and displacement go in the same direction

User Nicolae Dascalu
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5.0k points