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## Homework Statement

A car traveling on a straight road at 9.15m/s goes over a hump in the road. The hump may be regarded as an arc of a circle of radius 10.4m. What is the apparent weight of a 665N woman in the car as she rides over the hump?

## Homework Equations

##F=ma##; ##a=v^2/r##

## The Attempt at a Solution

At the top of the bump the woman will experience a centripetal acceleration towards the center of the arc (i.e. downwards). The magnitude of this acceleration is ##v^2/r=8.05m/s^2##. The total downwards acceleration of the woman is hence ##9.8+8.05=17.05m/s^2##. Her true weight is ##665/9.8=67.86kg##. So, her apparent weight is ##67.86*17.05=1156.96N##. Does this sound correct?