3. A bowling ball of mass m and radius r is launched with speed vo (having no spin) on a lane at an alley with a coefficient of friction of μ. How far will it travel before it starts to roll without slipping? What will its speed be when this happens? Hint: The frictional force exerts a force that causes the speed to decrease linearly at a constant rate. The friction force causes a torque about the center of the bowling ball that in turn causes the angular velocity to increase linearly at a constant rate. There will be a time at which the bowling ball stops slipping and starts rolling.

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3. A bowling ball of mass m and radius r is launched with speed vo (having no
spin) on a lane at an alley with a coefficient of friction of μ. How far will
it travel before it starts to roll without slipping? What will its speed be
when this happens? Hint: The frictional force exerts a force that causes
the speed to decrease linearly at a constant rate. The friction force
causes a torque about the center of the bowling ball that in turn causes
the angular velocity to increase linearly at a constant rate. There will be
a time at which the bowling ball stops slipping and starts rolling.
Transcribed Image Text:3. A bowling ball of mass m and radius r is launched with speed vo (having no spin) on a lane at an alley with a coefficient of friction of μ. How far will it travel before it starts to roll without slipping? What will its speed be when this happens? Hint: The frictional force exerts a force that causes the speed to decrease linearly at a constant rate. The friction force causes a torque about the center of the bowling ball that in turn causes the angular velocity to increase linearly at a constant rate. There will be a time at which the bowling ball stops slipping and starts rolling.
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