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A toy car of mass 1kg is pushed up against a spring with a spring constant...

A toy car of mass 1kg is pushed up against a spring with a spring constant of 500N/m, compressing the spring 0.05m. The spring is released, causing the car to slide across a frictionless track. After a certain distance of track, the car slides up a frictionless ramp of 10 degrees before coming to a stop.

a) What is the speed fo the car after it leaves the spring but before it starts up the ramp. (Answer: 1.12m/s)

b) What is the maximum distance up the ramp the car reaches? (Answer: 0.37m)

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