You pull your little sister across a flat snowy field on a sled. Your sister plus the sled have a mass of 22 kg. The rope is at an angle of 40 degrees to the ground. As you pull with a force of 31 N, the sled travels a distance of 53 m. How much work do you do?

Question

Physics

Gerald Wolfe

12 February, 18:50

You pull your little sister across a flat snowy field on a sled. Your sister plus the sled have a mass of 22 kg. The rope is at an angle of 40 degrees to the ground. As you pull with a force of 31 N, the sled travels a distance of 53 m. How much work do you do?

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Answers (1)

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Dangelo · Answer 1

mass of sled, m = 22 kg

Force of pull, F = 31 N

distance move, d = 53 m

Angle between force and distance, θ = 40°

The formula for the work done is

W = F x d x Cos θ

W = 31 x 53 x cos 40

W = 1258.6 J