Auniform sphere with mass m and radius r is rotating with angular speed ω1 about a frictionless axle along a diameter of the sphere. the sphere has rotational kinetic energy k1. a thin-walled hollow sphere has the same mass and radius as the uniform sphere. it is also rotating about a fixed axis along its diameter.

in terms of ω1, what angular speed must the hollow sphere have if its kinetic energy is also k1, the same as for the uniform sphere?

express your answer in terms of

Explanation:

For the first ball, the moment of inertia and the kinetic energy is:

So, replacing, we get that:

At the same way, the moment of inertia and kinetic energy for second ball is:

So:

Then, is equal to , so:

Finally, solving for , we get:

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles