A coin and a ring have the same mass and radius. Starting from rest and the...

80.2K

Verified Solution

Question

Physics

A coin and a ring have the same mass and radius. Starting fromrest and the same height, they roll down the same incline. In otherwords, they both start with the same gravitational potentialenergy. Which one of the following statements is true about thecoin and ring when they reach the bottom of the incline?

A. The increase in the coin's total kinetic energy is less thanthe increase in the ring's total kinetic energy.
B. The increase in the coin's total kinetic energy is equal tothe increase in the ring's total kinetic energy.

C. The increase in the coin's total kinetic energy is greaterthan the increase in the ring's total kinetic energy.

A. Coin’s Krotational = ring'sKrotational,and coin's KCM = ring'sKCM
B. Coin’s Krotational = ring'sKrotational,and coin's KCM < ring'sKCM
C. Coin’s Krotational = ring'sKrotational,and coin's KCM > ring'sKCM
D. Coin’s Krotational < ring'sKrotational,and coin's KCM < ring'sKCM
E. Coin’s Krotational < ring'sKrotational,and coin's KCM = ring'sKCM
F. Coin’s Krotational < ring'sKrotational,and coin's KCM > ring'sKCM
G. Coin’s Krotational > ring'sKrotational,and coin's KCM > ring'sKCM
H. Coin’s Krotational > ring'sKrotational,and coin's KCM = ring'sKCM
I. Coin’s Krotational > ring'sKrotational,and coin's KCM < ring'sKCM
A. The speed of the coin's center of mass is less than thespeed of the ring's center of mass.
B. The speed of the coin's center of mass is equal to the speedof the ring's center of mass.

C. The speed of the coin's center of mass is greater than thespeed of the ring's center of mass.

Answer & Explanation Solved by verified expert
4.4 Ratings (833 Votes)
Coin is a disc so its moment of Inertia I mr22 I of ring mr2 Now by conservation of mechanical energy Decrease in Potential energy U Rotational Kinetic EnergyKrot Translational Kinetic Energy Ktra Krot 12Iw2 where w    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students