1. Use the worked example above to help you solve this problem. A sled is tied t

Question

1. Use the worked example above to help you solve this problem. A sled is tied to a tree on a frictionless, snow-covered hill, as shown in Figure (a). If the sled weighs 74.0 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.

Then, use same values from above to help you work this exercise. Suppose a child of weight w climbs onto the sled. If the tension force is measured to be 59.5 N, find the weight of the child and the magnitude of the normal force acting on the sled.

Explanation / Answer

a) tension T = 60 N weight of the child = mg weight of the sled W = 74 N apply Newton's second law of motion ,       Fx = T + 0 - (74 N - mg)sin = 0         (74 N - mg)sin = T         (74 N - mg)sin30 = 59.5 N          (74 N - mg)(1/2) = 59.5 N       mg = -45 N weight of the child W' = 45 N   ............................................................ apply Newton's second law of motion ,       Fx = 0 + Fn - (W'+ W)cos = 0              Fn = (W' + W)sin                   = (45 N + 74 N)cos30                   = 103.05 N apply Newton's second law of motion ,       Fx = 0 + Fn - (W'+ W)cos = 0              Fn = (W' + W)sin                   = (45 N + 74 N)cos30                   = 103.05 N apply Newton's second law of motion ,       Fx = 0 + Fn - (W'+ W)cos = 0              Fn = (W' + W)sin                   = (45 N + 74 N)cos30                   = 103.05 N

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