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Kepler's second law is a consequenc of...

Kepler's second law is a consequenc of

A

conservation of energy

B

conservation of linear momentum

C

conservation of angular momentum

D

conservation of mass

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To solve the question "Kepler's second law is a consequence of what?", we can follow these steps: ### Step 1: Understand Kepler's Second Law Kepler's second law, also known as the law of areas, states that a line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time. This implies that a planet moves faster when it is closer to the Sun and slower when it is farther away. ### Step 2: Identify the Physical Principle The law of areas indicates that the motion of the planet is governed by a specific conservation principle. We need to determine which of the following principles is relevant: - Conservation of energy - Conservation of linear momentum - Conservation of angular momentum - Conservation of mass ### Step 3: Analyze the Options 1. **Conservation of energy**: While energy is conserved in the system, it does not directly explain the area swept out by the planet. 2. **Conservation of linear momentum**: This principle applies to straight-line motion and does not account for the changing direction of a planet's velocity as it orbits. 3. **Conservation of angular momentum**: This principle states that if no external torque acts on a system, the total angular momentum remains constant. In the case of planetary motion, as a planet moves closer to the Sun, it speeds up, conserving angular momentum. 4. **Conservation of mass**: This principle is not relevant to the motion of planets. ### Step 4: Conclusion Since Kepler's second law is fundamentally about the area swept out by a planet in its orbit and relates to the conservation of angular momentum, we conclude that the correct answer is: **Kepler's second law is a consequence of conservation of angular momentum.** ### Final Answer **Option C: Conservation of angular momentum.** ---
To solve the question "Kepler's second law is a consequence of what?", we can follow these steps: ### Step 1: Understand Kepler's Second Law Kepler's second law, also known as the law of areas, states that a line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time. This implies that a planet moves faster when it is closer to the Sun and slower when it is farther away. ### Step 2: Identify the Physical Principle The law of areas indicates that the motion of the planet is governed by a specific conservation principle. We need to determine which of the following principles is relevant: - Conservation of energy ...
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