Question 1 In the figure, a small block of mass m = 0.047 kg can slide along the

Question

Question 1 In the figure, a small block of mass m = 0.047 kg can slide along the frictionless loop-the-loop, with loop radius R-10 cm. The block is released from rest at point P, at height h 5R above the bottom of the loop, what are the magnitudes of (a) the horizontal component and (b) the vertical component of the net force acting on the block at point Q? (c) At what height h should the block be released from rest so that it is on the verge of losing contact with the track at the top of the loop? (On the verge of losing contact means that the normal force on the block from the track has just then become zero). QT (a) Number (b) Number (c) Number Units Units ( Units

Explanation / Answer

a) fx = mv^2/r

1.2mv^2 = mg(5R-R) = 4mgR

fx = 0.047*2*4g = 3.68 N

b) fy = mg = 0.46 N

c) from conservation of energy

mgh min -mg(2R) = 1/2mvtop^2

h min = 1/2g(gR)+2R

h min = 5/2 R

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