practice it : A sled is tied to a tree on a frictionless, snow-covered hill, as
ID: 2176823 • Letter: P
Question
practice it : A sled is tied to a tree on a frictionless, snow-covered hill, as shown in Figure (a). If the sled weighs 76.0 N, find the force exerted by the rope on the sled and the magnitude of the force nS exerted by the hill on the sled.
Force exerted by the rope on the sled 38 N
Force exerted by the hill on the sled 66 N
Use the values from PRACTICE IT to help you work this exercise. Suppose a child of weight w climbs onto the sled. If the tension force is measured to be 61.5 N, find the weight of the child and the magnitude of the normal force acting on the sled.
Weight of the child N
Normal force on the sled N
Explanation / Answer
a) 76sin30 = 38N by mountain = 76cos30 = 65.82N ~~ 66N weight of the child = (61.5-38)/sin30 = 47N normal force on sled = 47cos30 + 66 = 106.51N
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