A block of mass m slides without friction along the looped track shown in the Figure below. The radius of the loop is r. What is the minimum height h the block must be released from so that it completes the loop? Hint: The block is undergoing circular motion while it is on the loop. Recall that Fnet.c = m v² /r. You will need to draw a free-body diagram of the block at the top of the loop and you will need to find the minimum speed the block needs to have at the top of the loop so that it can complete the loop. Answer: h = 2.5 r

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter29: Nuclear Physics
Section: Chapter Questions
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KE = mv², Ug = mgh, U₁ = kx², E = KE + U₁ + Us, E₁ = Ef,
Ug
Wfric = Ffried, Ffric= MkN, E-Wfric = Ef
Transcribed Image Text:KE = mv², Ug = mgh, U₁ = kx², E = KE + U₁ + Us, E₁ = Ef, Ug Wfric = Ffried, Ffric= MkN, E-Wfric = Ef
Problem 2:
A block of mass m slides without friction along the looped track shown in the Figure below. The
radius of the loop is r. What is the minimum height h the block must be released from so that it
completes the loop? Hint: The block is undergoing circular motion while it is on the loop. Recall
that Fnet,c = m v² /r. You will need to draw a free-body diagram of the block at the top of the
loop and you will need to find the minimum speed the block needs to have at the top of the
loop so that it can complete the loop. Answer: h = 2.5 r
h
Transcribed Image Text:Problem 2: A block of mass m slides without friction along the looped track shown in the Figure below. The radius of the loop is r. What is the minimum height h the block must be released from so that it completes the loop? Hint: The block is undergoing circular motion while it is on the loop. Recall that Fnet,c = m v² /r. You will need to draw a free-body diagram of the block at the top of the loop and you will need to find the minimum speed the block needs to have at the top of the loop so that it can complete the loop. Answer: h = 2.5 r h
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