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At a carnival, you can try to ring a bell by striking a target with a 7.94 kg hammer. In response, a 0.390 kg metal piece is sent upward toward the bell, which is 4.27 m above.

A) 45 J
B) 90 J
C) 180 J
D) 360 J

User Roger Gee
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1 Answer

2 votes

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.

User Huelfe
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