Question

A solid sphere of uniform density starts from rest and rolls
without slipping a distance of **d = 4.4 m** down a
**θ = 22°**incline. The sphere has a
mass **M = 4.3 kg** and a radius **R
= 0.28 m**.

1)Of the total kinetic energy of the sphere, what fraction is translational?

**KE**
_{tran}/**KE**_{total} =

2)What is the translational kinetic energy of the sphere when it reaches the bottom of the incline?

**KE** _{tran} =

3)What is the translational speed of the sphere as it reaches the bottom of the ramp?

**v** =

4)Now let's change the problem a little.

Suppose now that there is **no frictional force**
between the sphere and the incline. Now, what is the translational
kinetic energy of the sphere at the bottom of the incline?

**KE** _{tran} =

Answer #1

A solid metal ball starts from rest and rolls without slipping a
distance of d = 4.2 m down a θ = 38° ramp. The ball has uniform
density, a mass M = 4.7 kg and a radius R = 0.33 m.
What is the magnitude of the frictional force on the sphere?

A solid metal ball starts from rest and rolls without slipping a
distance of d = 4.2 m down a θ = 38° ramp. The ball has uniform
density, a mass M = 4.7 kg and a radius R = 0.33 m.
What is the magnitude of the frictional force on the sphere?

A uniform, solid sphere of radius 3.00 cm and mass 2.00 kg
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Assuming the sphere rolls without slipping down the incline,
calculate the sphere's final translational speed v 2 at the bottom
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1. A solid sphere of mass 50 kg rolls without slipping. If the
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2.
A solid sphere (I = 0.4MR2) of
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_______ m/s.

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without slipping down the incline, calculate the sphere's final
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An 8.20 cm-diameter, 390g solid sphere is released from rest at
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A solid sphere of weight 37.0 N rolls up an incline at an angle
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A hoop I = M R2 starts from rest and rolls without
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