A bar magnet is held in place while another bar magnet is placed near it. The second bar magnet spins around and attaches to the first magnet on one end. Which statement is correct about the energy stored in the magnetic field?
A). The decrease in the energy stored in the system is proportional to the increase in kinetic energy.
B). The increase in the energy stored in the system is proportional to the increase in kinetic energy.
C). The increase in the energy stored in the system is proportional to the decrease in kinetic energy.
D). The decrease in the energy stored in the system is proportional to the decrease in kinetic energy.
D). The decrease in the energy stored in the system is proportional to the decrease in kinetic energy. When the two magnets attract and come together, the magnetic potential energy decreases as the distance between the magnets decreases. This energy is transformed into kinetic energy as the second magnet begins to spin around the first magnet. As the spinning slows down and eventually stops, the kinetic energy decreases, and this energy is transformed back into magnetic potential energy stored in the system. Therefore, the decrease in the energy stored in the system is proportional to the decrease in kinetic energy.
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To answer this question, we need to understand the interaction between magnetic fields and the concept of energy conservation.
When two bar magnets interact, there is a transfer of energy between the magnets and the magnetic field. Initially, when the second bar magnet is brought close to the first magnet, the magnetic fields interact and work is done to bring the two magnets together. This work is stored as potential energy in the magnetic field.
When the second bar magnet spins around and attaches to the first magnet, energy is transferred from the magnetic field to the kinetic energy of the spinning magnet. The magnetic potential energy decreases, and the kinetic energy of the spinning magnet increases.
Based on this understanding, we can determine the correct statement:
B). The increase in the energy stored in the system is proportional to the increase in kinetic energy.
The increase in energy stored in the magnetic field (potential energy) is proportional to the increase in kinetic energy of the spinning magnet.