Final answer:
The work done on the car is 235,440 J and the work done on the nickels is 163.5 J. The number of quarters and nickels in the bag can be determined by solving a system of equations.
Step-by-step explanation:
To determine the work done on the car, we need to calculate the force applied by Renatta and her friends and multiply it by the distance they pushed the car. The force exerted by Renatta and her friends is 1080 N and the distance they pushed the car is 218 m. So the work done on the car is (1080 N) * (218 m) = 235,440 J.
To determine the work done on the nickels, we need to calculate the total value of the coins in the bag and convert it into energy. The total value of the coins is $16.35. One Joule of energy is equivalent to $0.10. So the work done on the nickels is (16.35 / 0.10) J = 163.5 J.
Since work done is equal to the product of force and distance, we can use this equation to determine the number of quarters and nickels in the bag. Let's assume there are q quarters and n nickels. The work done on the quarters is given by (q * 0.25) J, and the work done on the nickels is given by (n * 0.05) J. From the previous calculations, we know that the total work done is 235,440 J for the car and 163.5 J for the nickels. Therefore, we can set up the following equations: (q * 0.25) + (n * 0.05) = 235440 and q + n = 219. Solving these equations will give us the number of quarters and nickels in the bag.