A solid metal ball is released from the top of an incline of height h that makes an angle e with the horizontal. (a) If the ball rolls without slipping, what is its speed when it reaches the bottom of the incline? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) Vf = Can you apply conservation of energy? To what system? What types of kinetic energy are changing? How is the linear speed related to the rotational speed? What is the moment of inertia of a solid sphere about its center of mass? (b) If the ball instead slides without rolling and without friction, what is its speed when it reaches the bottom of the incline? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) Vf = How is the situation different from part (a)? What types of kinetic energy are changing now? (c) Compare the time intervals required to reach the bottom in cases (a) and (b). trolling = 1.183

Principles of Physics: A Calculus-Based Text
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A solid metal ball is released from the top of an incline of height h that makes an angle 0 with the horizontal.
(a) If the ball rolls without slipping, what is its speed when it reaches the bottom of the incline? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.)
Vf =
Can you apply conservation of energy? To what system? What types of kinetic energy are changing? How is the linear speed related to the rotational speed? What is the moment of inertia of a solid sphere
about its center of mass?
(b) If the ball instead slides without rolling and without friction, what is its speed when it reaches the bottom of the incline? (Use any variable or symbol stated above along with the following as necessary: g for
the acceleration of gravity.)
Vf
How is the situation different from part (a)? What types of kinetic energy are changing now?
(c) Compare the time intervals required to reach the bottom in cases (a) and (b).
Trolling
tsliding
= 1.183
Transcribed Image Text:A solid metal ball is released from the top of an incline of height h that makes an angle 0 with the horizontal. (a) If the ball rolls without slipping, what is its speed when it reaches the bottom of the incline? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) Vf = Can you apply conservation of energy? To what system? What types of kinetic energy are changing? How is the linear speed related to the rotational speed? What is the moment of inertia of a solid sphere about its center of mass? (b) If the ball instead slides without rolling and without friction, what is its speed when it reaches the bottom of the incline? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) Vf How is the situation different from part (a)? What types of kinetic energy are changing now? (c) Compare the time intervals required to reach the bottom in cases (a) and (b). Trolling tsliding = 1.183
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