A roller-coaster car shown in the figure below is pulled up to point 1 where it

Question

A roller-coaster car shown in the figure below is pulled up to point 1 where it is released from rest. Take y = 31 m . Assuming no friction, calculate the speed at point 2. Express your answer to two significant figures and include the appropriate units. v2 = Request Answer Part B Calculate the speed at point 3. Express your answer to two significant figures and include the appropriate units. v3 = Request Answer Part C Calculate the speed at point 4. Express your answer to two significant figures and include the appropriate units. v4 =

Explanation / Answer

Using law of conservation of energy,

PE = KE

0.5 x m x V^2 = mgh

Velocity, v = sqrt(2gh)

A) At point 2:

V2 = sqrt(2 x 9.8 x 31) = 24.65 m/s

B) At point 3:

V3 = sqrt(2 x 9.8 x (31 - 26)) = 9.90 m/s

C) At point 4:

V4 = sqrt(2 x 9.8 x (31 - 14)) = 18.25 m/s

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