Question

A uniform, solid sphere of radius 5.75 cm 5.75 cm and mass 3.25 kg 3.25 kg starts with a purely translational speed of 1.25 m/s 1.25 m/s at the top of an inclined plane. The surface of the incline is 2.25 m 2.25 m long, and is tilted at an angle of 29.0 ∘ 29.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ? 2 v2 at the bottom of the ramp.

Answer #1

A uniform, solid sphere of radius 3.00 cm and mass 2.00 kg
starts with a purely translational speed of 1.25 m/s at the top of
an inclined plane. The surface of the incline is 1.00 m long, and
is tilted at an angle of 25.0 ∘ with respect to the horizontal.
Assuming the sphere rolls without slipping down the incline,
calculate the sphere's final translational speed v 2 at the bottom
of the ramp.

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