Jesse is in a bumper car at rest when Mary, in her own bumper car and on top of

Question

Jesse is in a bumper car at rest when Mary, in her own bumper car and on top of a 15 m tall hill, spots him and a spring that is 5 m behind him. She gives her bumper car a speed of 7m/s before going down the 15 m tall hill towards Jesse. The bumper cars have powerful electromagnets around them, so that during the collision the cars never touch. After the collision Jesse immediately applies his brakes (the coefficient of friction between his tires and the ground is 1) but according to Mary's plan inevitably hits the spring behind him. How much does the spring compress to stop Jesse if he is applying his brakes the entire time after the collision and the spring constant for spring is 500 N/M?

Explanation / Answer

since they dont touch energy will be conserved

Ei + W friction = Ef

m gh + 1/2 mv^2 - u m g d = 1/2 k x^2

you didnt give the mass, so cant solve. but if you had it you would plug it in to this

m*9,81*15 + 0.5*m*7^2 - 1*m*9.81*5 = 0.5*500*x^2

plug in m solve for x

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