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Consider a 1112 kg automobile as it passes over a hill on a road that follows the arc of a vertical circle of radius 48 m near its top.
a) Show the forces acting on the car at the top of the hill.
b) Find the normal force acting on the car when the car is at rest.
c) Find the normal force acting on this car when it travels over the hill at 12 m/s.
d) Find the maximum speed at which this car can pass over the hill without leaving contact with the road. Hint: it leaves the road when the normal force between it and the car is reduced to zero.
e) Would a more massive vehicle lose contact with the road at a
i) greater,
ii) lesser, or
iii) the same speed?Explain.
Driving in your car with a constant speed of 13 m/s, you encounter a bump in the road that has a circular cross section, as indicated in the figure. If the radius of curvature of the bump is r = 29 m, find the apparent weight of a 59-kg person in you..
A gold prospector finds a solid rock that is composed solely of quartz and gold. The mass and volume of the rock are, Find the mass of the gold in the rock
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