A 50.0 kg extreme snowboarder slides down the side of a mountain that is inclined at an angle of 51.8 above the horizontal. The snowboarder starts from rest at the top of the incline, which is 147 m vertically above the bottom of the incline. (a) What is the mechanical energy at the top and the bottom of the incline? Note: one of these will be a numerical value and the other will just be symbolic. (b) If the coefficient of kinetic friction between the snowboard and the snow is 0.975 and the total work done by friction is – 5.53 × 104 J, then what is the speed of the snowboarder at the bottom of the incline? You must use energy methods in order to get full credit for this problem and include a diagram of the situation.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 50P: A particle of mass 0.50 kg moves along the x -axis with a potential energy whose dependence on x is...
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A 50.0 kg extreme snowboarder slides down the side of a mountain that is inclined at an angle of 51.8 above the horizontal. The snowboarder starts from rest at the top of the incline, which is 147 m vertically above the bottom of the incline. (a) What is the mechanical energy at the top and the bottom of the incline? Note: one of these will be a numerical value and the other will just be symbolic. (b) If the coefficient of kinetic friction between the snowboard and the snow is 0.975 and the total work done by friction is – 5.53 × 104 J, then what is the speed of the snowboarder at the bottom of the incline? You must use energy methods in order to get full credit for this problem and include a diagram of the situation.

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