7. A solid sphere of mass M and radius R starts from rest at the top of an inclined ramp, and rolls to the bottom. The upper end of the ramp is h meters higher than the lower end. (Note: The moment of inertia for a solid sphere rotating about an axis through its center is (2/5)MR²) a. Draw an energy bar chart (remember rotational KE) & corresponding equation for this situation: b. Symbolically, what is the linear speed of the sphere at the bottom of the ramp in terms of M, R, h and g? C. If Mass = 4.0 kg, R=0.12 m, h=1.2 m, and g= 9.8 m/s2 what is the velocity of the car?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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7. A solid sphere of mass M and radius R starts from rest at the top of an inclined ramp, and rolls
to the bottom. The upper end of the ramp is h meters higher than the lower end. (Note: The
moment of inertia for a solid sphere rotating about an axis through its center is (2/5)MR²)
a.
Draw an energy bar chart (remember rotational KE) & corresponding equation for this
situation:
b. Symbolically, what is the linear speed of the sphere at the bottom of the ramp in terms
of M, R, h and g?
C.
If Mass = 4.0 kg, R=0.12 m, h=1.2 m, and g= 9.8 m/s2 what is the velocity of the car?
Transcribed Image Text:7. A solid sphere of mass M and radius R starts from rest at the top of an inclined ramp, and rolls to the bottom. The upper end of the ramp is h meters higher than the lower end. (Note: The moment of inertia for a solid sphere rotating about an axis through its center is (2/5)MR²) a. Draw an energy bar chart (remember rotational KE) & corresponding equation for this situation: b. Symbolically, what is the linear speed of the sphere at the bottom of the ramp in terms of M, R, h and g? C. If Mass = 4.0 kg, R=0.12 m, h=1.2 m, and g= 9.8 m/s2 what is the velocity of the car?
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