In the figure show, the roller coaster at point A is initially at rest. 1.) What

Question

In the figure show, the roller coaster at point A is initially at rest.
1.) What is its Gravitational Potential Energy at point A?: a.) 0 J b.) 34,300 J c.) 68,600 J d.) 7000 J
2.) What is the Gravitational Potential Energy at point B?: a.) 0 J b.) 34,300 J c.) 22,867 J d.) 336,140 J
3.) The roller coaster is released and rolls down the incline. Assuming a frictionless surface, what is the velocity of the roller coaster at point B?: a.) 11 m/s b.) 0 m/s c.) 9.8 m/s d.) 121 m/s
4.) What would be the velocity of the roller coaster at point C?: a.) 14 m/s b.) 9.8 m/s c.) 0 m/s d.) 196 m/s

Explanation / Answer

m=700 kg , g =9.8 m/s^2, h =10m

1) UA =mgh = 700*9.8*10 =68600 J

Correct option is (c)

2) UB = mgh/3 = 68600/3 =22867 J

Correct option is (c)

3) From conservation of energy

UA+KA = UB +KB

68600+0 = 22867+ (1/2)(700)vB^2

vB = 11.43 m/s

Correct option is (a)

4) From conservation of energy

UA+KA = UC +KC

68600+0 = 0+ (1/2)(700)vc^2

vc = 14 m/s

correct option is (a)

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