A solid rubber 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 = (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.) V₁ = (c) Compare the time intervals required to reach the bottom in cases (a) and (b). t Frolling tsliding

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter12: Rotation I: Kinematics And Dynamics
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A solid rubber 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
=
(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.)
V₁ =
(c)
Compare the time intervals required to reach the bottom in cases (a) and (b).
t
Frolling
tsliding
Transcribed Image Text:A solid rubber 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 = (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.) V₁ = (c) Compare the time intervals required to reach the bottom in cases (a) and (b). t Frolling tsliding
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