A car travels down a straight country road that leads over hills and through val

Question

A car travels down a straight country road that leads over hills and through valleys. On one particular stretch of road, the car encounters a hill that can be approximated as the top of a circle with a radius rh = 111 m. Later, the car comes to a dip with a radius of curvature rd = 85 m. Assume that the car maintains a constant speed of v = 21 m/s as it goes over the hill and through the dip. The actual weight of the driver, as measured on a flat stretch of road, is 675 N. What is the apparent weight of the driver at the top of the hill?

Explanation / Answer

apparent Weight at top of the hill = mg-mv2/R = 675 - 68.8*212/111 = 401.63 N

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