A 1200-kg sports car (including the driver) crosses the rounded top of a hill (r

Question

A 1200-kg sports car (including the driver) crosses the rounded top of a hill (radius = 86.0m ) at 15.0m/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 61.0-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) mg-mv^2/r= F

or 1200*9.81 - 1200*15^2/86=F

or F=8632.47 N

B) 61*9.81 - 61*15^2/86=F

or F=438.817 N

c) g=v^2/r

or v=(9.81*86)^0.5

or v=29.04 m/s

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