1 a.)A 1.3-kg ball is hanging from the end of a rope. The rope hangs at an angle

Question

1 a.)A 1.3-kg ball is hanging from the end of a rope. The rope hangs at an angle 21° from the vertical when a 12 m/s horizontal wind is blowing. If the wind's force on the rope is negligible, what drag force in Newtons does the wind exert on the ball? (Give you answer to the nearest 0.01 N)

b.) a block hangs at rest. The rope that is fastened to the wall is horizontal and has a tension off 57 N. The rope that is fastened to the ceiling has a tension of 89 N, and makes an angle with the ceiling. What is the angle in degrees? (Give your answer to the nearest 0.1 deg.).

d.)T-bar ski tow pulls a skier up a hill inclined at 8° above horizontal. The skier starts from rest and is pulled by a cable that exerts a tension T at an angle of 27° above the surface of the hill. The mass of the skier is 65 kg and the effective coefficient of kinetic friction between the skis and the snow is 0.1. What is the maximum tension in Newtons in the cable if the starting acceleration is not to exceed 0.37 g?  (Give the tension to the nearest 0.1N)

Explanation / Answer

One question at a time as per guidelines

a) balancing forces normal to the thread,
mg sin21= Fcos21
or F=mgtan21
=4.89N

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