Question

A car's bumper is designed to withstand a 5.76 km/h (1.6-m/s) collision with an immovable object without damage to the body of the car. The bumper cushions the shock by absorbing the force over a distance. Calculate the magnitude of the average force on a bumper that collapses 0.195 m while bringing a 860 kg car to rest from an initial speed of 1.6 m/s.

Answer 1

5645 N

Step-by-step explanation:

Using the Work Energy theorem to solve this question. Where

m = mass of the car, 860 kg

W = work done

F = force acting

d = distance travelled

v(f) = final velocity

v(i) = initial velocity

K(f) = final kinetic energy

K(i) = initial kinetic energy

See attachment for calculation