A uniform solid sphere having mass M = 50.0 g and a radius R = 0.30 m rolls on a horizontal surface and then rolls up an incline at an angle of 30.0° as shown below in Figure 2. At the bottom of the incline the center of mass of the sphere has a translational speed of 4.2 m/s. If the frictional losses are negligible, how far does the sphere travel up along the incline? Hint: You can apply the principle of conservation of energy to solve the problem.) Figure 2 4.2 m/s 30.0⁰

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Chapter10: Fixed-axis Rotation
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Problem 69P: A solid sphere of radius 10 cm is allowed to rotate freely about an axis. The sphere is given a...
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A uniform solid sphere having mass M = 50.0 g and a radius R = 0.30 m rolls on a
horizontal surface and then rolls up an incline at an angle of 30.0° as shown below in
Figure 2. At the bottom of the incline the center of mass of the sphere has a
translational speed of 4.2 m/s. If the frictional losses are negligible, how far does the
sphere travel up along the incline?
Hint: You can apply the principle of conservation of energy to solve the problem.)
Figure 2
4.2 m/s
30.0⁰
Transcribed Image Text:A uniform solid sphere having mass M = 50.0 g and a radius R = 0.30 m rolls on a horizontal surface and then rolls up an incline at an angle of 30.0° as shown below in Figure 2. At the bottom of the incline the center of mass of the sphere has a translational speed of 4.2 m/s. If the frictional losses are negligible, how far does the sphere travel up along the incline? Hint: You can apply the principle of conservation of energy to solve the problem.) Figure 2 4.2 m/s 30.0⁰
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