What is the escape velocity from the surface of the Earth?

Practice Questions

Q1
What is the escape velocity from the surface of the Earth?
  1. 7.9 km/s
  2. 11.2 km/s
  3. 9.8 km/s
  4. 15 km/s

Questions & Step-by-Step Solutions

What is the escape velocity from the surface of the Earth?
Correct Answer: 11.2 km/s
  • Step 1: Understand what escape velocity means. It is the speed needed 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 the formula: v = √(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 3: Use the values: G = 6.674 × 10^-11 m^3 kg^-1 s^-2, M (mass of Earth) = 5.972 × 10^24 kg, and R (radius of Earth) = 6.371 × 10^6 m.
  • Step 4: Plug these values into the formula to calculate the escape velocity.
  • Step 5: After calculating, you will find that the escape velocity from the surface of the Earth is approximately 11.2 km/s.
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