posted by Sandhya .
1.A roller coaster is towed up an incline at a steady speed of 0.500 m/s by a chain parallel to the surface of the incline. The slope is 3.12 %, which means that the elevation increases by 3.12 m for every 100 m of horizontal distance. The mass of the roller coaster is 415 kg. Neglecting friction, what is the magnitude of the force exerted on the roller coaster by the chain?
2.A fire helicopter carries a 563 kg bucket of water at the end of a 15.8 m long cable. Flying back from a fire at a constant speed of 40.4 m/s, the cable makes an angle of 36.0° with respect to the vertical. Determine the force of air resistance on the bucket.
3.If a bicyclist of mass 62.0 kg (including the bicycle) can coast down a 6.50o hill at a steady speed of 5.90 km/hr because of air resistance, how much force must be applied to climb the hill at the same speed (and the same air resistance)?
1. The tangent of the slope angle is 0.0312. That makes the angle A = 1.787 degrees from horizontal.
In a frictionless situation, the chain force F equals the component of the weight force in the opposite direction down the ramp. F = M g sin A
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