Question

A sphere of mass 2.28 kg and radius 8.11 cm is moving on a flat surface at a constant speed of 14.9 m/s. If the surface turns to a ramp, how high will the sphere roll?

Answer 1

When a sphere rolling on a flat surface ,it possess both kinetic energy and rotational energy

,so when the flat surface turns to a ramp, those energies will starts to convert into gravitational potential energy and when the sphere reaches max height all the kinetic energy and rotational energy will be converted into PE.

----------(1)

Where I is moment of inertia of sphere .

and is angular speed ,

Equation (1) becomes

All the terms has mass m,so cancel mass and radius

ANSWER:

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