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What is the gravitational potential at a distance 'r' from a point mass 'M'?

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Question: What is the gravitational potential at a distance \'r\' from a point mass \'M\'?

Options:

  1. -GM/r
  2. -GM/r^2
  3. GM/r
  4. GM/r^2

Correct Answer: -GM/r

Solution: 

The gravitational potential V at a distance r from a point mass M is given by V = -GM/r.

What is the gravitational potential at a distance 'r' from a point mass 'M'?

Practice Questions

Q1
What is the gravitational potential at a distance 'r' from a point mass 'M'?
  1. -GM/r
  2. -GM/r^2
  3. GM/r
  4. GM/r^2

Questions & Step-by-Step Solutions

What is the gravitational potential at a distance 'r' from a point mass 'M'?
Correct Answer: V = -GM/r
  • Step 1: Understand that gravitational potential is a measure of the potential energy per unit mass at a point in a gravitational field.
  • Step 2: Identify the point mass 'M' which creates the gravitational field.
  • Step 3: Recognize that 'r' is the distance from the point mass 'M' to the point where we want to calculate the gravitational potential.
  • Step 4: Recall the formula for gravitational potential, which is V = -GM/r, where G is the gravitational constant.
  • Step 5: Substitute the values of G, M, and r into the formula to find the gravitational potential V.
No concepts available.
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