9. (10 points) A kid (mass 45.0 kg) playing at the local watering hole grabs ont
ID: 1769529 • Letter: 9
Question
9. (10 points) A kid (mass 45.0 kg) playing at the local watering hole grabs onto a rope that is L = 20 m long, steps off the edge of a cliff, and swings down towards the water. At the very bottom of the swing (the rope is vertical) the kid lets go of the rope and sails into the water. At the bottom of the swing when she lets go of the rope, she is still 4.40 m above the surface of the water. She is traveling horizontally with a speed of 9.5 m/s at the time she lets go of the rope. (a) Sketch a diagram of the child swinging. (b) What is the heigh difference, h, between the point where the kid steps off the cliff and the point where she releases the rope? (c) What is the tension in the rope at the bottom of the swing just before she lets go? Hint: Draw a free body diagram of the child at the bottom of the swing and consider centripetal force! (d) Bonus (3): What is the time between when the kid lets go and when she hits the water?Explanation / Answer
b) mgh = 1/2 * m v2.
h= 4.60 m
c) T = centripital force + weight
= mv2/l + mg
= 64.06 N
d) time = (2* 4.5 /g)1/2 use formula s= ut + 1/2 gt2.
= 0.958 s
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