A 1400-kg sports car (including the driver) crosses the rounded top of a hill (r

Question

A 1400-kg sports car (including the driver) crosses the rounded top of a hill (radius = 93.0m ) at 16.0m/s .

Part A

Determine the normal force exerted by the road on the car.

Express your answer to three significant figures and include the appropriate units.

Part B

Determine the normal force exerted by the car on the 62.0-kg driver.

Express your answer to three significant figures and include the appropriate units.

Part C

Determine the car speed at which the normal force on the driver equals zero.

Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

a)

from newtons 2nd law

Fn =mg -mV^2/r =(1400*9.8)-(1400*16^2/93)

Fn =9866.237 N or 9.866 KN

b)

Fn =(62*9.8)-(62*16^2/93)

Fn =436.933 N or 0.437 KN

c)

given Fn=0

mg-mV^2/r =0

V=sqrt(rg) =sqrt(9.8*93)

V=30.189 m/s

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