A solid sphere of mass 4.0 kg and radius 0.12m is at rest at the top of a ramp inclined 15(degrees). It rolls to the bottom without slipping.The upper end of the ramp is 1.2 m higher than the lower end. Find the sphere's total kinetic energy when it reaches the bottom.
How do I find the linear speed in this problem?
2007-03-04 09:37:16 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Physics
Yes, I know the concept and idea of it, but how to I figure out this problem calculation wise?
2007-03-04 10:01:33 · update #1
I of a solid sphere is 2*M*R^2/5
Rotational KE = (1/2)*I*w^2
Potential E at top = (1/2)*M*v^2 + (1/2)*I*w^2
You'll need to work out the relationship between v and w.
2007-03-04 13:37:21 · answer #1 · answered by sojsail 7 · 1⤊ 0⤋
You need to use the rotational inertia to find the rotational kinetic energy, and you need to add that energy to the translational kinetic energy of the sphere since it's not only spinning but also moving.
Not to be a jerk, though, but I'm not going to do that part. But this is the basic idea behind it.
2007-03-04 09:43:38 · answer #2 · answered by Science Guy41 2 · 0⤊ 3⤋