3. Itotal points: 61 Assume the heigh starts from the rest at the top. The rolle

Question

3. Itotal points: 61 Assume the heigh starts from the rest at the top. The roller-coaster and the riders have a Take the coordinate system in such a way that at the bottom of the t of the hill in figure below is 41 m, and the roller-coaster e gravitational potential energy of the roller-conster at the top of the hill. (3 points) (b) Find the speed of the roller-coaster at the bottom of the hill, assuming conservation of mechanical energy. (3 points) BONUS POINT: Now consider that there is friction present in between the roller-coaster and he track. For the same motion as considered above, would the speed at the bottom of the hill acrease, decrease or remain the same? (1 point)

Explanation / Answer

According to the given problem,

a)

G.P.E = mgh = 1055*9.81 *41 = 424.3kJ

b) Using the conservation of energy principal,

K.E = G.P.E

1/2mv2 = 424.3 kJ

v = 28.4 m/s

c) The velocity will decrease as friction force act opposite to the motion reducing the Energy by the time it reaches.

Ans: Kinetic friction, is a non-conservative force, because it acts to reduce the mechanical energy in a system

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