What is the gravitational field strength at a distance 'R' from the center of a

Practice Questions

Q1
What is the gravitational field strength at a distance 'R' from the center of a planet of radius 'R' and uniform density?
  1. 0
  2. g
  3. g/2
  4. g/4

Questions & Step-by-Step Solutions

What is the gravitational field strength at a distance 'R' from the center of a planet of radius 'R' and uniform density?
  • Step 1: Understand that we are looking for the gravitational field strength at a distance 'R' from the center of a planet.
  • Step 2: Recognize that 'R' is also the radius of the planet.
  • Step 3: Know that inside a uniform sphere, the gravitational field strength decreases as you move away from the center.
  • Step 4: Remember that at the center of the planet, the gravitational field strength is 0.
  • Step 5: Realize that as you move outward from the center to the surface, the gravitational field strength increases linearly.
  • Step 6: At the surface of the planet (distance 'R' from the center), the gravitational field strength is at its maximum value, which we can call 'g'.
  • Step 7: Since we are at the surface (distance 'R'), the gravitational field strength is 'g'.
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