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A 72.5-kg skier coasts up a snow-covered hill that makes an angle of 22.9 ° with...

A 72.5-kg skier coasts up a snow-covered hill that makes an angle of 22.9 ° with the horizontal. The initial speed of the skier is 8.71 m/s. After coasting a distance of 1.19 m up the slope, the speed of the skier is 3.74 m/s. (a) Find the work done by the kinetic frictional force that acts on the skis. (b) What is the magnitude of the kinetic frictional force?

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Answer #1

The given situation can be represented as

The FBD of the skier can be given by

Fricthon mo os rwTo find the value of ma we'll firstly apply third equation of motion and find the acceleration of the skier.

Then we'll find the friction force by balancing the forces in the FBD

2s = 3。742 8.11L 2xl1, Botamuing tru 72S(-2ς, 99-@3A0.39) Wards warudls

The work done by mass is given by W=FS COS there here we know the distance covered upwards and we have calculated the friction force therefore we can find the work done.

o a Wonk done b) magiud

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