Frustrated with his inability to make a living through honest channels, Lou sets

Question

Frustrated with his inability to make a living through honest channels, Lou sets up a deceptive weight-loss scam. The trick is to make insecure customers believe they can "think those extra pound away" if they will only take a ride in a van that Lou claims to be "specially equipped to enhance mental-mass fluidity." The customer sits on a platform scale in the back of the van, and Lou drives off at constant speed of 10 m/s. Lou then asks the customer to "think heavy" as he drives through the bottom of a dip in the road having a radius of curvature of 70 m. Sure enough, the scale's reading increases, until Lou says, "Now think light," and drives over the crest of a hill having a radius of curvature of 115 m. If the scale reads 700 N when the van is on level ground, what is the range of readings for the trip described here? N (upper limit on the scale) N (lower limit on the scale)

Explanation / Answer

Mass

M=W/g=700/9.8=71.43 kg

Upper limit of the scale is

Fupper=mV2/r +mg =(71.43*102/70)+700

Fupper=802 N

Lower limit on the scale

Flower =mg-mV2/r =700-71.43*102/115

Flower=638 N

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