A toy roller coaster cart is launched by first compressing a spring, then being released to travel up the track. Assume that: •The spring compresses by a maximum of 0.14 m •The mass of the cart is 0.24 kg •The work done by friction is 0.29 J •The height of the first hill is 0.75 m What spring constant is necessary to get the cart to the top of the first hill, traveling at 0.9 m/s? Draw a sketch of the system with relevant zero reference points and an LOL diagram

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