Use the worked example above to help you solve this problem. A 14,000 N car starts from rest and rolls down a hill from a height of 10.0 m (see figure). It then moves across a level surface and collides with a light spring-loaded guardrail.(a) Neglecting any losses due to friction, and ignoring the rotational kinetic energy of the wheels, find the maximum distance the spring is compressed. Assume a spring constant of 1.6 times 10^6 N/m..42 m (b) Calculate the maximum acceleration of the car after contact with the spring, assuming no frictional losses. 50 Your response differs from the correct answer by more than 10%. Double check your calculations. m/s^2(c) If the spring is compressed by only 0.30 m, find the change in the mechanical energy due to friction. -7.0e4 Your response is within 10% of the correct value.This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.