What is the escape velocity for a satellite to leave Earth's gravitational field

Practice Questions

Q1
What is the escape velocity for a satellite to leave Earth's gravitational field?
  1. 7.9 km/s
  2. 11.2 km/s
  3. 9.8 km/s
  4. 5.0 km/s

Questions & Step-by-Step Solutions

What is the escape velocity for a satellite to leave Earth's gravitational field?
  • Step 1: Understand what escape velocity means. It is the speed needed for an object to break free from a planet's gravitational pull without any additional propulsion.
  • Step 2: Know that the escape velocity depends on the mass of the planet and the distance from its center.
  • Step 3: For Earth, the escape velocity is calculated using the formula: v = sqrt(2 * G * M / r), where G is the gravitational constant, M is the mass of the Earth, and r is the radius of the Earth.
  • Step 4: Plug in the values for Earth's mass and radius into the formula to find the escape velocity.
  • Step 5: The result of this calculation shows that the escape velocity from the Earth's surface is approximately 11.2 kilometers per second.
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