A83 A boy ties a string around a stone and then whirls the stone so that it moves in a horizontal circle at constant speed. (a) Drawa diagram showing the forces acting on the stone, assuming that air resistance is nepligible. Use your diagram to explain () why the string cannot be herizontal, (i) the direction of the resultant force on the stone and (iii) the effect that the resultant force has on the path of the stone. (b) The mass of the stone is e.15 kg and the length of the string between the stone and the boy's hand is 0.50 m. The peried of retation of the stone is 0.40s. Calculate the tension in the string. (e) The boy now whitls the stune in a vertical circle, but the string breaks when it is horizontal. At this instant, the stone is 1.0m above the ground and rising at a speed of 15 ms. Describe the subse- quent motion of the stone until it hits the ground and calculate its maximum height. [0 & C, '91]

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A83 A boy ties a string around a stone and then
whirls the stone so that it moves in a horizontal
circle at constant speed.
(a) Draw a diagram slhowing the forces acting
on the stone, assuming that air resistance
is negligible. Use your diagram to explain
(1) why the string cannot be herizontal,
(i) the direction of the resuliant force
on the stone and
(iii) the effect that the resultant force has
on the path of the stone.
(b) The mass of the stone is e.15 kg and the
length of the string between the stone and
the boy's hand is 0.50 m. The period of
retation of the stone is 0.40 s. Calculate
the tension in the string.
(c) The boy now whirls the stone in a vertical
circle, but the string breaks when it is
horizontal. At this instant, the stone is
1.0m above the ground and rising at a
speed of 15 ms". Describe the subse-
quent motion of the stone until it hits the
ground and calculate its maximum
height.
(0 & C, '91]
Transcribed Image Text:A83 A boy ties a string around a stone and then whirls the stone so that it moves in a horizontal circle at constant speed. (a) Draw a diagram slhowing the forces acting on the stone, assuming that air resistance is negligible. Use your diagram to explain (1) why the string cannot be herizontal, (i) the direction of the resuliant force on the stone and (iii) the effect that the resultant force has on the path of the stone. (b) The mass of the stone is e.15 kg and the length of the string between the stone and the boy's hand is 0.50 m. The period of retation of the stone is 0.40 s. Calculate the tension in the string. (c) The boy now whirls the stone in a vertical circle, but the string breaks when it is horizontal. At this instant, the stone is 1.0m above the ground and rising at a speed of 15 ms". Describe the subse- quent motion of the stone until it hits the ground and calculate its maximum height. (0 & C, '91]
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