Problem 6.40 Assuming no friction, calculate the speed at point 2 Express your a

Question

Problem 6.40 Assuming no friction, calculate the speed at point 2 Express your answer to two significant figures and include the appropriate units. Constants A roller-coaster car shown in the figure below is pulled up to point 1 where it is released from rest. Take y 36 m Figure 1) | in v2 #123.65 Submit incorrect: One attempt remaining: Try Again Figure 1 of 1 Part B Calculate the speed at point 3 Express your answer to two significant figures and include the appropriate units. 26 m 14 m Units 7:01 PM Submit

Explanation / Answer

Part A -

To solve all the parts of the question, apply conservation of energy.

means -

loss in potential energy = gain in kinetic energy

=> mgh = (1/2)*m*v^2

=> v^2 = 2gh

=> v = sqrt[2gh]

here h = 36 m

so, v = sqrt[2*9.81*36] = 26.58 m/s = 27.00 m/s (two significant figures)

Part B -

here h = 36 - 26 = 10 m

so, v = sqrt[2*9.81*10] = 14.00 m/s (two significant figures)

Part C -

h = 36 - 14 = 22 m

so, v = sqrt[2*9.81*22] = 20.77 m/s = 21.00 m/s (two significant figures)

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