A \(1000-\mathrm{kg}\) car traveling at \(5.0 \mathrm{~m} / \mathrm{s}\) runs into the side of an underpass. The concrete wall is not affected, but the car crumples such that in the time interval from the instant of impact to the instant at which the car comes to rest, its center of mass travels forward \(0.50 \mathrm{~m}\). What are

(a) the magnitude of the average force exerted on the car,

(b) the work done by the wall on the car, and

(c) the change in kinetic energy of the system?