AP Physics 1hardmcq1 pt
A 2.0 kg solid sphere (I = ⅖mr², r = 0.20 m) rolls down a 3.0 m-high ramp from rest (g = 10 m/s²). Its translational speed at the bottom is about
A.6.5 m/s
B.7.7 m/s
C.5.5 m/s
D.4.6 m/s
Explanation
Core Concept
mgh = ½mv² + ½Iω² = ½mv² + ½(⅖mr²)(v²/r²) = (7/10)mv². v = √(10gh/7) = √(300/7) ≈ 6.5 m/s.
Correct Answer
A6.5 m/s
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