Final answer:
The rug did negative work on the car, which means it absorbed energy from the car and slowed it down. The work done by the rug on the car is approximately -0.53 Joules.
Step-by-step explanation:
To calculate the work done by the rug on the car, we can use the work-energy theorem. The work done by a force is equal to the change in kinetic energy.
The initial kinetic energy of the car is given by:
KEinitial = (1/2) × mass × (initial velocity)2
KEinitial = (1/2) × 0.22 kg × (3.53 m/s)2
The final kinetic energy of the car is given by:
KEfinal = (1/2) × mass × (final velocity)2
KEfinal = (1/2) × 0.22 kg × (1.9 m/s)2
The work done by the rug on the car is the difference between the final and initial kinetic energies:
Work = KEfinal - KEinitial
Work = (1/2) × 0.22 kg × (1.9 m/s)2 - (1/2) × 0.22 kg × (3.53 m/s)2
Simplifying:
Work ≈ -0.53 J
The work done by the rug on the car is approximately -0.53 Joules. The negative sign indicates that the rug did negative work on the car. This means that the rug absorbed energy from the car and slowed it down.