Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A 0.300-kg toy car moving with a speed of 0.820 m/s collides with a wall. The fi

ID: 1288536 • Letter: A

Question

A 0.300-kg toy car moving with a speed of 0.820 m/s collides with a wall. The figure below shows the force exerted on the car by the wall over the course of the collision. What is the magnitude of the velocity, or final speed, of the car after the collision?

A 0.300-kg toy car moving with a speed of 0.820 m/s collides with a wall. The figure below shows the force exerted on the car by the wall over the course of the collision. What is the magnitude of the velocity, or final speed, of the car after the collision?

Explanation / Answer

Mass = 0.300 Kg
Velocity = 0.820 m/s

The area under a Force-Time graph is Impulse (equivalent to change in momentum).
Area under the Force time Graph = 1/2 * 0.02*4 + 0.06 * 4 + 1/2 * 0.04 * 4 + 1/2 * 0.06 * 1
Area under the Force time Graph, F * ?t  = 0.39 Kg m/s

Change in
F * ?t = m*?v
?v = 0.39/0.300
?v = 1.3 m/s

Vf - Vi = 1.3
Vf = 1.3 - 0.820
Vf = 0.48 m/s

Final Speed of the Car after Collison, Vf = 0.48 m/s