Chapter 06, Problem 048 A roller-coaster car has a mass of 1040 kg when fully lo

Question

Chapter 06, Problem 048 A roller-coaster car has a mass of 1040 kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 15 m, its speed is not changing. (a) At the top of the hill, what is the normal force (using the negative sign for the downward direction) Fy on the car from the track if the car's speed is v 8.5 m/s? (b) What is F if v 20 m/s? Use g-9.81 m/s2 (a) Number (b) Number Click if you would like to Show Work for this question Open Show Work Units Units

Explanation / Answer

Given  

mass of the roller-coaster car m = 1040 kg

radius of the circle r = 15 m

speed at the top of the hill is v = 8.5 m/s2

the forces acting on the car is  

the normal force F_N = mg - mv^2/r

F_N = m(g - v^2/r)

F_N = 1040(9.81 - 8.5^2/15) N

F_N = 5193.067 N

b) speed v = 20 m/s

F_N = m(g - v^2/r)

F_N = 1040(9.81 - 20^2/15) N

F_N = -17530.93 N

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