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What initial speed should a particle be given if it is to have a final speed when it is very far from the earth that is equal to its escape speed

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Answer:

Step-by-step explanation:

The escape speed at any location is calculated using the formula:

Escape Speed = √(2 * G * M / R)

Where:

  • G is the gravitational constant (approximately 6.674 × 10⁻¹¹ m³ kg⁻¹ s⁻²).
  • M is the mass of the Earth (approximately 5.972 × 10²⁴ kg).
  • R is the distance from the center of the Earth to the particle's initial position.

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