AP Physics 1 Unit 1C: Kinematics: Relative & Circular Motion — practice questions — page 4

Explore 92 free Unit 1C: Kinematics: Relative & Circular Motion questions in AP Physics 1 Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Unit 1C: Kinematics: Relative & Circular Motion questions and exercises with answers

Showing questions 91–92 of 92.

For a hoop, disc, and solid sphere of same mass and radius rolling down an incline. Order of acceleration (fastest first):Read the answer and worked solution →A solid sphere of mass M, radius R rolls without slipping down an incline of angle theta. Acceleration:Read the answer and worked solution →

Worked practice questions

For a hoop, disc, and solid sphere of same mass and radius rolling down an incline. Order of acceleration (fastest first):

All equal
Sphere > Disc > Hoop (smaller I/MR² is faster)
Disc > Sphere > Hoop
Hoop > Disc > Sphere

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Correct answer: B. Sphere > Disc > Hoop (smaller I/MR² is faster)

**Acceleration in rolling:** a = g sin theta / (1 + I/(MR²)). For sphere I/MR² = 2/5 (smallest) disc 1/2; hoop 1. So sphere is fastest, hoop slowest. Independent of mass and radius!

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A solid sphere of mass M, radius R rolls without slipping down an incline of angle theta. Acceleration:

g sin theta
g sin theta × (1/3)
g sin theta × (5/7)
Zero

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Correct answer: C. g sin theta × (5/7)

**For solid sphere:** a = g sin theta / (1 + I/(MR²)) = g sin theta / (1 + 2/5) = g sin theta / (7/5) = (5/7) g sin theta. About 71 percent of pure sliding acceleration.

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