Bumper Spring
Help with a spring constant?

The bumper on the car is made of flexible plastic so that it will compress on impact and cushion the occupants during a collision. Suppose a car of mass m =1200kg is traveling at 2.5m/s when it strikes a brick wall. It is found that the bumper compresses a mas amount of 5cm. What is the spring constant of the bumper ?

Please show work and use algebra.

The book answer is 3E+6N/m but i cant get that answer.

Work = Change in Energy
½kx² = ½mv²
k = m(v/x)²

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