Final answer:
A car's bumper is designed to withstand a collision by absorbing the force over a distance. To calculate the magnitude of the average force on a bumper in this case, we can use the equations for momentum and time.
Step-by-step explanation:
A car's bumper is designed to withstand a collision by absorbing the force over a distance. In this case, the question asks for the magnitude of the average force on a bumper that collapses 0.200 m while bringing a 900-kg car to rest from an initial speed of 1.1 m/s.
To find the average force, we can use the equation:
Force = change in momentum / time
First, we need to find the initial momentum which is given by:
Initial momentum = mass x initial velocity
Then, we can find the final momentum using:
Final momentum = mass x final velocity
Subtracting the initial momentum from the final momentum gives us the change in momentum. The average force can be calculated by dividing the change in momentum by the time taken, which can be determined by using the distance and initial velocity:
Time = distance / initial velocity
By plugging in the given values into these equations, we can calculate the magnitude of the average force on the bumper.