PhysicsClassical Physics

Work Energy Theorem: Stopping a 950 kg Car over 120 m and 2.00 m

Use the work energy theorem to compare the average net forces that stop a 950 kg car from 90.0 km/h over 120 m and over 2.00 m.

Question

A car of mass 950 kg is initially moving at 90.0 km/h. (a) Find the stopping force if it comes to rest over 120 m. (b) Instead, the car strikes a concrete abutment at the same initial speed and stops over 2.00 m. Find the force on the car in this case and compare it with part (a).

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Evidence boundary

This is the point-mass stopping model of OpenStax College Physics Problem 12. The calculated force is the constant equivalent or displacement-averaged net force opposite the car's motion. It does not determine peak impact force, passenger force, brake-pad force, reaction time, or the detailed force history. Both cases use the same initial speed and zero final speed.