A solid, uniform, spherical boulder (I = MR2) starts from rest and rolls down a 50.0 [m] hill, as shown at the figure at the right. The top half of the hill is rough enough to cause the boulder to roll without slipping, but the lower half is covered with ice and there is no friction. What is the translational speed of the boulder when it reaches the bottom of the hill?

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Chapter7: Rotational Motion And Gravitation
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A solid, uniform, spherical boulder (I = MR²) starts from rest and rolls
down a 50.0 [m] hill, as shown at the figure at the right. The top half of the
hill is rough enough to cause the boulder to roll without slipping, but the
lower half is covered with ice and there is no friction. What is the translational
Rough
50.0 m
Smooth
speed of the boulder when it reaches the bottom of the hill?
Transcribed Image Text:A solid, uniform, spherical boulder (I = MR²) starts from rest and rolls down a 50.0 [m] hill, as shown at the figure at the right. The top half of the hill is rough enough to cause the boulder to roll without slipping, but the lower half is covered with ice and there is no friction. What is the translational Rough 50.0 m Smooth speed of the boulder when it reaches the bottom of the hill?
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