# Energy of a Rolling Object

1. Nov 15, 2007

### Jtappan

1. The problem statement, all variables and given/known data

A solid sphere of mass 0.599 kg rolls without slipping along a horizontal surface with a translational speed of 5.31 m/s. It comes to an incline that makes an angle of 33° with the horizontal surface. Neglect energy losses due to friction.

(a) What is the total energy of the rolling sphere?
________ J
(b) To what vertical height above the horizontal surface does the sphere rise on the incline?
________ m

2. Relevant equations

??????????

3. The attempt at a solution

What equations would I use for this problem? any other information would be great thanks!

2. Nov 15, 2007

### Dick

You can't find ANY equations?

3. Nov 16, 2007

### Bill Foster

Kinetic energy is given by $$K=\frac{1}{2}mv^2$$

Rotational energy is given by $$T=\frac{1}{2}I\omega^2$$

The moment of intertia for a solid sphere is given by $$I=\frac{2}{5}mr^2$$

Potential energy is given by $$U=mgh$$

4. Nov 16, 2007

### Bill Foster

You will need one more equation to solve this.

$$v=\omega r$$

5. Nov 16, 2007

### vasra

Some hints from a fellow learner:

- How do you calculate linear (aka translational) movement energy for a body?
- What is the difference between kinetic and potential energies and how do you calculate them?
- Is energy conserved, if there is no friction or drag (aka energy losses)?