40 A small object slides along the frictionless loop-the-loop with a diameter of

Question

40 A small object slides along the frictionless loop-the-loop with a diameter of 3 m. What minimum speed must it have at the top of the loop? A. 1.9 m/s B. 3.8 m/s C. 5.4 m/s D. 15 m/s E. 29 m/s 41. A rectangular block is moving along a frictionless path when it encounters the circular loop as shown. The block passes points 1, 2, 3, 4, 1 before returning to the horizontal track. At point A. its mechanical energy is a minimum B. the forces on it are balanced C. it is not accelerating D. its speed is a mininum E. it experiences a net upward force ans: D 112 Chapter 8: POTENTIAL ENERGY AND CONSERVATION oF ENERGY

Explanation / Answer

Vtop = sqrt [g*d/2]

= sqrt[ 9.8 *3/2]

= sqrt [ 14.7

= 3.83 m/s

so Option B

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At point 3, Speed is minimum

so Option D

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