Ramp and spring Questions

[VCE_2012]

Can anybody message me questions from any physics exam that involve a ramp with an object sliding down it then moving into a spring. And the question might ask for the: KE, speed, spring constant etc.
It would be convenient if the reference to the exam is given with the question too.
Thanks.

[rife168]

You have been hired to design a safety system to protect drivers going down hills during an ice storm. The planned system consists of a bumper, which can be considered as a stiff spring, at the bottom of the hill. In the scenario you are given, the car of mass m starts from rest at the top of a hill which makes an angle q with the horizontal. The distance that the car slides from the top of the hill until it is stopped by the spring is L. For the worst case scenario, assume that there is no frictional force between the car and road due to ice. If the maximum compression of the spring from its equilibrium position is D, your job is to calculate the required spring constant k in terms of D, L, m and q.

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