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

Practice Questions

Q1
What is the escape velocity for a satellite to leave the 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 the 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 from Earth is calculated using a specific formula that involves the mass of the Earth and the radius of the Earth.
  • Step 3: The formula for escape velocity (v) is 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: When you plug in the values for G, M, and R, you find that the escape velocity from the Earth's surface is about 11.2 kilometers per second.
  • Step 5: Remember that this speed is necessary to leave the Earth's gravitational field without falling back.
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