A sledder of total mass 40.0 kg (including the sled) slides down a 10.0m hill that is 20° from the horizontal. First, suppose there is no friction. L= 10.0m 9= 20° (a) Find the acceleration of the sledder. (b) Using the equations of motion in 1D, find the sledder's velocity at the bottom of the hill, assuming they start from rest. (c) Find the velocity of the sledder at the bottom of the hill using conservation of mechanical energy. (d) Now suppose that the snow is not frictionless, but instead there is a coefficient of kinetic friction µK 0.2. Find the velocity of the sledder at the bottom of the hill. Can you use conservation of energy? Why or why not? (e) Find the kinetic energy of the sledder at the bottom of the hill. How much energy is lost due to friction?

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Chapter1: Units, Trigonometry. And Vectors
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A sledder of total mass 40.0 kg (including the sled) slides down a 10.0m hill that is 20° from
the horizontal. First, suppose there is no friction.
L= 10.0m
e = 20°.
(a) Find the acceleration of the sledder.
(b) Using the equations of motion in 1D, find the sledder's velocity at the bottom of the
hill, assuming they start from rest.
(c) Find the velocity of the sledder at the bottom of the hill using conservation of mechanical
energy.
(d) Now suppose that the snow is not frictionless, but instead there is a coefficient of kinetic
friction µK
0.2. Find the velocity of the sledder at the bottom of the hill. Can you
use conservation of energy? Why or why not?
(e) Find the kinetic energy of the sledder at the bottom of the hill. How much energy is
lost due to friction?
Transcribed Image Text:A sledder of total mass 40.0 kg (including the sled) slides down a 10.0m hill that is 20° from the horizontal. First, suppose there is no friction. L= 10.0m e = 20°. (a) Find the acceleration of the sledder. (b) Using the equations of motion in 1D, find the sledder's velocity at the bottom of the hill, assuming they start from rest. (c) Find the velocity of the sledder at the bottom of the hill using conservation of mechanical energy. (d) Now suppose that the snow is not frictionless, but instead there is a coefficient of kinetic friction µK 0.2. Find the velocity of the sledder at the bottom of the hill. Can you use conservation of energy? Why or why not? (e) Find the kinetic energy of the sledder at the bottom of the hill. How much energy is lost due to friction?
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