You are in charge of testing/designing a new amusement park ride. At the end of

Question

You are in charge of testing/designing a new amusement park ride. At the end of the ride, the 1200 kg cart (including people) goes down a hill that is angled at 30o from the horizontal. The starting height of the cart is 20 m above the ground, and it is going 5 m/s at the top of the hill. There is a constant force of friction of 30 N on the cart the entire ride. At the bottom of the hill, the cart travels 50 m before being stopped by a spring that is compressed by 2 m. What is the spring constant of the spring?

Explanation / Answer

uisng eenergy conservation,

1200 x 5^2 /2 + 1200 x 9.8 x 20 = 30 x (20/sin30 + 50) + k 2^2 /2

k =123750 N/m

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