A car of mass 930 kg is t ravelling over the top of a hill as shown in the figur

Question

A car of mass 930 kg is t ravelling over the top of a hill as shown in the figure below

(a) If the hill has a radius of curvature of 44m and the car is travelling at 13 m/s, what is the normal force between the hill and the car at the top of the hill ?   _______? N

(b) If

the driver increases her speed sufficiently, the car will leave the ground at the top of the hill.  What is the speed required to make that happen ?    ________?  m/s

A car of mass 930 kg is t ravelling over the top of a hill as shown in the figure below If the hill has a radius of curvature of 44m and the car is travelling at 13 m/s, what is the normal force between the hill and the car at the top of the hill ? _______? N If the driver increases her speed sufficiently, the car will leave the ground at the top of the hill. What is the speed required to make that happen ? ________? m/s

Explanation / Answer

a) N = mg - mv^2/r = 5551.25 N

b) mv^2/r = mg

v = sqrt(rg) = 20.78 m/s

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