Physics
posted by Dan .
An 9.00cmdiameter, 400 sphere is released from rest at the top of a 1.90mlong, 20.0 incline. It rolls, without slipping, to the bottom.
A) What is the sphere's angular velocity at the bottom of the incline?
B) WWhat fraction of its kinetic energy is rotational?

mgh=rotational energy + translational energy
I assume the 20 is an angle
mg(1.90 sin20)=1/2 I w^2+1/2 mv^2
but v=wr so
= 1/2 I w^2+1/2 m w^2 r^2
so calculate w.
then you have the two terms, and the total energy, solve for the fraction.
Respond to this Question
Similar Questions

physics
A solid sphere of weight 36.0 N rolls up an incline at an angle of 30.0o. At the bottom of the incline the center of mass of the sphere has a translational speed of 4.90 m s1. Isphere = 2/5mr^2. What is the kinetic energy of the sphere … 
Physics 121
A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 2.7 m down a q = 23° incline. The sphere has a mass M = 4.8 kg and a radius R = 0.28 m. a) Of the total kinetic energy of the sphere, … 
Physics
A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 4.4 m down a q = 20° incline. The sphere has a mass M = 4.6 kg and a radius R = 0.28 m. What is the translational kinetic energy of the … 
Phyisics
A 2kg hallow sphere of a radius 6cm starts from rest and rolls without slipping down a 10 degree incline. if the length of the incline is 50cm then the velocity of the center of mass of the hallow sphere at the bottom of the incline … 
physics
A solid sphere of radius 23 cm is positioned at the top of an incline that makes 23 degree angle with the horizontal. This initial position of the sphere is a vertical distance 3 m above its position when at the bottom of the incline. … 
physics
A thin spherical shell of mass M = 2.00 kg is released from rest at the top of an incline of height H=1.31 m and rolls without slipping to the bottom. The ramp is at an angle of θ = 24.1o to the horizontal. Calculate the speed … 
physics
A solid uniform sphere is released from the top of an inclined plane .25 m tall. the sphere rolls down the plane without slipping and there is no energy lost from friction. What is the translational speed of the sphere at the bottom … 
Physics
A solid sphere of mass 2.07kg rolls up an incline with an inclination angle of 24.40°. At the bottom of the incline, the center of mass of the sphere has a translational speed of 2.80m/s. a) What is in J, the linear kinetic energy … 
Physics
A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 4.8 m down a θ = 36° incline. The sphere has a mass M = 3.2 kg and a radius R = 0.28 m. If there is no frictional force, what is … 
physics
A solid sphere of radius 35 cm is positioned at the top of an incline that makes 20 ◦ angle with the horizontal. This initial position of the sphere is a vertical distance 3.4 m above its position when at the bottom of the incline. …