Final answer:
The clock uses 180 J of energy in a week.
Step-by-step explanation:
The problem can be solved by using the principle of conservation of energy. The energy used by the clock in a week can be calculated by finding the potential energy of each mass and adding them up.
Using the formula for potential energy, PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height, we can calculate the potential energy for each mass:
PE1 = (4.0 kg)(9.8 m/s2)(1.3 m) = 51.28 J
PE2 = (4.0 kg)(9.8 m/s2)(1.3 m) = 51.28 J
PE3 = (6.0 kg)(9.8 m/s2)(1.3 m) = 76.92 J
Adding up the potential energies, we get:
Total energy = PE1 + PE2 + PE3 = 51.28 J + 51.28 J + 76.92 J = 179.48 J which is approximately 180 J. Therefore, the clock uses 180 J of energy in a week.