During your winter vacation, you enter a "dogsled" race across a frictionless frozen lake, in which the sleds are pulled by students instead of dogs. To get started, you pull the sled (mass m=50 kg) with a force of F=100 N at θ = 30o above the horizontal. The sled moves S = 30.0 m, starting from rest. Assume that there is no friction. (1) What is the final kinetic energy of your sled? (select the closest values)

Question

Eugene Krause

Physics

10 August, 08:40

During your winter vacation, you enter a "dogsled" race across a frictionless frozen lake, in which the sleds are pulled by students instead of dogs. To get started, you pull the sled (mass m=50 kg) with a force of F=100 N at θ = 30o above the horizontal. The sled moves S = 30.0 m, starting from rest. Assume that there is no friction. (1) What is the final kinetic energy of your sled? (select the closest values)

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Answers (1)

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Colt Prince · Answer 1

mass of sled = 50 kg

Force applied F = 100 N, angle θ = 30 degree.

Component of force in horizontal direction

Fcos30

= 100 x. 866

= 86.6 N

Work done in the displacement = 30 m

= force in horizontal direction x displacement

= 86.6 x 30

= 2598 J

This work done by applied force will be converted into kinetic energy

So kinetic energy of sled = 2598 J.