ework 9Problem 10.43 Resources previous | 13 of 15 | next x Problem 10.43 Part B

Question

ework 9Problem 10.43 Resources previous | 13 of 15 | next x Problem 10.43 Part B You have been hired to design a spring launched roller coaster that will carry two passengers per car. The car goes up a 10-m-high hill, then descends 20 m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.0 m and that a loaded car will have a maximum mass of 410 kg. For safety reasons, the spring constant should be 10 % larger than the minimum needed for the car to just make it over the top What is the maximum speed of a 340 kg car if the spring i compressed the full amount? Express your answer to two significant figures and include the appropriate units. x" x 2 11.8.102 m Submit My Answers Give Up Incorrect; Try Again Provide Feedback Continue

Explanation / Answer

b)

using conservation of energy

spring energy = kinetic energy

(0.5) k A2 = (0.5) m v2

k (2)2 = (340) v2

v = 2 sqrt(k/340)

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