How far does an 800 g hollow sphere roll up a 25-degree incline?

In summary, a hollow sphere is a spherical object with an empty interior that rolls by converting potential energy into kinetic energy. Momentum is a measure of an object's motion and is related to the rolling of a hollow sphere through a combination of its linear and angular momentum. Factors such as mass, velocity, radius, and external forces can affect the rolling momentum of a hollow sphere.
  • #1
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Homework Statement



An 800 g, 40.0 cm diameter hollow sphere is rolling along at 4 m/s when it comes to a 25 degree incline. Ignoring any friction, how far along the incline does it roll before it stops and reverses its direction?



Homework Equations



Krolling= 1/2Iw^2 + 1/2Mv^2
I=2/3MR^2

The Attempt at a Solution


Too difficult to type
 
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  • #2
It looks like an energy question to me!
 

FAQ: How far does an 800 g hollow sphere roll up a 25-degree incline?

What is a hollow sphere?

A hollow sphere is a three-dimensional object with a spherical shape and an empty or hollow interior. It is similar to a solid sphere, but with a hollow center.

How does a hollow sphere roll?

A hollow sphere rolls by converting its potential energy into kinetic energy. As it rolls, the bottom part of the sphere makes contact with the ground, causing it to rotate and gain speed.

What is momentum?

Momentum is a measure of an object's motion, and it is defined as the product of an object's mass and its velocity. In simpler terms, it is the quantity of motion an object has.

How is momentum related to rolling of a hollow sphere?

In the case of a hollow sphere rolling, its momentum is the combination of its linear momentum (due to its translational motion) and its angular momentum (due to its rotational motion).

What factors affect the rolling momentum of a hollow sphere?

The rolling momentum of a hollow sphere is affected by its mass, velocity, and radius. Additionally, the surface on which it is rolling and any external forces acting on it can also affect its momentum.

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