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Comet C/2022 E3 (ZTF) was discovered by astronomers using the wide-field survey camera at the Zwicky Transient Facility. It reached its perihelion (closest approach to the sun), on January 12th and will reach its closest approach to Earth on February 1st. (a) At its closest approach to Earth it will be 0.2839 AU away from the center of the Earth and 1.159 AU from the center of the Sun. Since it will be closer to us, which of the two will give it more potential energy? By how much? Hint: Use a ratio to help answer the problem. (b) If it's moving at 39.1 km/s at it's closest approach to Earth, how fast was it moving when it reached its perihelion of 1.112 AU from the sun? (c) Will the comet ever return? If not, what will its speed be as r→∞?

Comet C/2022 E3 (ZTF) was discovered by astronomers using the wide-field survey camera at the Zwicky Transient Facility. It reached its perihelion (closest approach to the sun), on January 12th and will reach its closest approach to Earth on February 1st. (a) At its closest approach to Earth it will be 0.2839 AU away from the center of the Earth and 1.159 AU from the center of the Sun. Since it will be closer to us, which of the two will give it more potential energy? By how much? Hint: Use a ratio to help answer the problem. (b) If it's moving at 39.1 km/s at it's closest approach to Earth, how fast was it moving when it reached its perihelion of 1.112 AU from the sun? (c) Will the comet ever return? If not, what will its speed be as r→∞?

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Comet C/2022 E3 (ZTF) was discovered by astronomers using the wide-field survey camera at the Zwicky Transient Facility. It reached its perihelion (closest approach to the sun), on January 12th and will reach its closest approach to Earth on February 1st. (a) At its closest approach to Earth it will be 0.2839 AU away from the center of the Earth and 1.159 AU from the center of the Sun. Since it will be closer to us, which of the two will give it more potential energy? By how much? Hint: Use a ratio to help answer the problem. (b) If it's moving at 39.1 km/s at it's closest approach to Earth, how fast was it moving when it reached its perihelion of 1.112 AU from the sun? (c) Will the comet ever return? If not, what will its speed be as r→∞?
Transcribed Image Text:Comet C/2022 E3 (ZTF) was discovered by astronomers using the wide-field survey camera at the Zwicky Transient Facility. It reached its perihelion (closest approach to the sun), on January 12th and will reach its closest approach to Earth on February 1st. (a) At its closest approach to Earth it will be 0.2839 AU away from the center of the Earth and 1.159 AU from the center of the Sun. Since it will be closer to us, which of the two will give it more potential energy? By how much? Hint: Use a ratio to help answer the problem. (b) If it's moving at 39.1 km/s at it's closest approach to Earth, how fast was it moving when it reached its perihelion of 1.112 AU from the sun? (c) Will the comet ever return? If not, what will its speed be as r→∞?
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