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If the gravitational field strength at a point is 10 N/kg, what is the gravitati

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Question: If the gravitational field strength at a point is 10 N/kg, what is the gravitational potential at that point assuming it is zero at infinity?

Options:

  1. -10 J/kg
  2. -5 J/kg
  3. 0 J/kg
  4. 10 J/kg

Correct Answer: -10 J/kg

Solution: 

The gravitational potential V is related to the gravitational field strength g by V = -g * r. If we consider r to be 1 meter, V = -10 * 1 = -10 J/kg.

If the gravitational field strength at a point is 10 N/kg, what is the gravitati

Practice Questions

Q1
If the gravitational field strength at a point is 10 N/kg, what is the gravitational potential at that point assuming it is zero at infinity?
  1. -10 J/kg
  2. -5 J/kg
  3. 0 J/kg
  4. 10 J/kg

Questions & Step-by-Step Solutions

If the gravitational field strength at a point is 10 N/kg, what is the gravitational potential at that point assuming it is zero at infinity?
  • Step 1: Understand that gravitational field strength (g) is given as 10 N/kg.
  • Step 2: Know that gravitational potential (V) is calculated using the formula V = -g * r.
  • Step 3: Choose a value for r (the distance from the point to the center of the mass causing the gravity). Here, we will use r = 1 meter.
  • Step 4: Substitute the values into the formula: V = -10 N/kg * 1 m.
  • Step 5: Calculate the result: V = -10 J/kg.
  • Gravitational Field Strength – The gravitational field strength (g) is the force per unit mass experienced by a small test mass placed in the field, measured in N/kg.
  • Gravitational Potential – Gravitational potential (V) is the work done per unit mass to move an object from infinity to a point in the gravitational field, measured in J/kg.
  • Relationship between g and V – The gravitational potential is related to the gravitational field strength by the equation V = -g * r, where r is the distance from the mass creating the field.
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