A solid sphere rolling without slipping on a horizontal surface. If the translational speed of the sphere is 2.00 m/s, what is its total kinetic energy?

The total kinetic energy is 2.8m J. (NOTE: m is mass of the sphere)

Explanation:

The total kinetic energy of a sphere is given by the sum of the rotational kinetic energy and the translational kinetic energy. That is,

The rotational kinetic energy is given by

Where is the moment of inertia

and is the angular velocity

The translational kinetic energy is given by

Where is the mass

and is the translational speed (velocity)

∴

But, the moment of inertia of a sphere is given by

Where is mass

and is radius

∴

Also,

∴

Then,

∴

From the question,

Then,

Hence, the total kinetic energy is 2.8m J. (NOTE: m is mass of the sphere)

increase masses, decrease separation

dec 23, 2016 - a load of bricks weighing 680 n a distance of 10 m across a parking lot. if if the worker pushes the cart with a constant force of 209 n, what work= force x distance = 220 n x 10 m = 2200 n.m = 2200 j i don't know where the person got it from, but the initial part, work= force x distance me.