A solid uniform spherical boulder travels down a hill. At the top of the hill the boulder is rolling with a horizontal speed of 5 m/s. The top half of the hill is rough, so that the boulder continues to roll without slipping. The bottom half of the hill and the valley is covered in smooth ice, so that there is no static friction between the boulder and the hill. How fast is the boulder moving when it gets to the bottom of the hilI? What is its rotational speed in the valley if the boulder has a radius of 10 cm?
A solid uniform spherical boulder travels down a hill. At the top of the hill the boulder is rolling with a horizontal speed of 5 m/s. The top half of the hill is rough, so that the boulder continues to roll without slipping. The bottom half of the hill and the valley is covered in smooth ice, so that there is no static friction between the boulder and the hill. How fast is the boulder moving when it gets to the bottom of the hilI? What is its rotational speed in the valley if the boulder has a radius of 10 cm?
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Transcribed Image Text:A solid uniform spherical boulder travels down a hill. At the top of the
hill the boulder is rolling with a horizontal speed of 5 m/s. The top half
of the hill is rough, so that the boulder continues to roll without slipping.
The bottom half of the hill and the valley is covered in smooth ice, so
that there is no static friction between the boulder and the hill. How fast
is the boulder moving when it gets to the bottom of the hill? What is its
rotational speed in the valley if the boulder has a radius of 10 cm?
Rough
50.0 m
Smooth
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