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Category > Physics Posted 17 Jun 2017 My Price 5.00

Two objects one solid sphere and one hoop

Two objects one solid sphere and one hoop ; of the same mass (M=0.5 kg ) and the same radius (R= 0.2 m) are released from the top of an hill at height H=1.0 meters

 

a)    Can you predict which one of the two object will arrive to the bottom of incline first? Explain your answer.

 

 

 

 

b)    Find the velocities of the two objects at the bottom of the incline to prove your answer in part a? Show complete solution.

 

 

 

 

 

 

Formulas you need for the problem: 

Rotational inertia for a hoop    I = MR2 ,  Rotational inertia for a solid sphere     I = 2/5 MR2

V= R ω ,  U = M g H, E= U + K , Conservation of mechanical energy  Ei = Ef

Rolling Kinetic energy is the sum of Kinetic energy for translation (k=1/2 M V2 ) and Kinetic energy for rotation (K=1/2 I ω2 )

Answers

SuperTutor
(15)
Status NEW Posted 17 Jun 2017 02:06 AM My Price 5.00

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