What is the gravitational field strength at the surface of a planet of mass M an

Practice Questions

Q1
What is the gravitational field strength at the surface of a planet of mass M and radius R?
  1. GM/R^2
  2. 2GM/R^2
  3. GM/R
  4. G/R^2

Questions & Step-by-Step Solutions

What is the gravitational field strength at the surface of a planet of mass M and radius R?
  • Step 1: Understand that the gravitational field strength (g) is a measure of the force of gravity experienced by an object at the surface of a planet.
  • Step 2: Recognize that the formula for gravitational field strength is derived from Newton's law of universal gravitation.
  • Step 3: Identify the variables in the formula: G is the gravitational constant, M is the mass of the planet, and R is the radius of the planet.
  • Step 4: Write down the formula for gravitational field strength: g = GM/R^2.
  • Step 5: Substitute the values of M (mass of the planet) and R (radius of the planet) into the formula to calculate g.
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