do An ideal Ci.e., frictionless) roller coaster car is at the top of a track. Th

Question

do An ideal Ci.e., frictionless) roller coaster car is at the top of a track. The vertical elevations are: y1-21.0 m, Y2 8.00 m, Y32.30 m. (The drawing is not to scale.) The car has an initial speed uo-0.700 m/s at elevation yl 71 3 The speed of the car at elevation y2 depends on (Select all that apply) The value of y1 O The initial speed O The value of v2 The mass of the car. The value of y3 None of the above factors. Calculate the speed of the car when it is at the height y3. Please enter your answer with THREE Significant Figures

Explanation / Answer

Applying energy conservation,

PEi + KEi = PEf + KEf

m g y1 + m v0^2 / 2 = m g y2 + m v^2 /2

g y1 + v0^2 / 2 = g y2 + v^2 /2
v depends on -> y1 , initial speed, y2

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g y1 + v0^2 / 2 = g y3 + v^2 /2

9.8 x 21 + 0.7^2 / 2 = 9.81 x 2.30 + v^2 / 2

v = 19.2 m/s .......Ans

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