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The gravitational field strength at the surface of the Earth is approximately 9.

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Question: The gravitational field strength at the surface of the Earth is approximately 9.8 N/kg. What is the gravitational potential at the surface of the Earth?

Options:

  1. 0 J/kg
  2. -9.8 J/kg
  3. -19.6 J/kg
  4. -39.2 J/kg

Correct Answer: -9.8 J/kg

Solution: 

The gravitational potential at the surface of the Earth is negative, approximately -9.8 J/kg.

The gravitational field strength at the surface of the Earth is approximately 9.

Practice Questions

Q1
The gravitational field strength at the surface of the Earth is approximately 9.8 N/kg. What is the gravitational potential at the surface of the Earth?
  1. 0 J/kg
  2. -9.8 J/kg
  3. -19.6 J/kg
  4. -39.2 J/kg

Questions & Step-by-Step Solutions

The gravitational field strength at the surface of the Earth is approximately 9.8 N/kg. What is the gravitational potential at the surface of the Earth?
Correct Answer: -9.8 J/kg
  • Step 1: Understand that gravitational field strength (g) is the force experienced by a mass due to gravity, measured in N/kg.
  • Step 2: Know that gravitational potential (V) is the potential energy per unit mass at a point in a gravitational field, measured in J/kg.
  • Step 3: Recognize that at the surface of the Earth, the gravitational potential is defined to be negative because it is a convention in physics.
  • Step 4: The gravitational potential at the surface of the Earth is approximately -9.8 J/kg, which corresponds to the gravitational field strength of 9.8 N/kg.
  • Gravitational Field Strength – The gravitational field strength is the force experienced by a unit mass in a gravitational field, measured in N/kg.
  • Gravitational Potential – Gravitational potential is the work done per unit mass to move an object from infinity to a point in a gravitational field, typically measured in J/kg.
  • Sign Convention – Gravitational potential is often considered negative because it is defined relative to a point at infinity where the potential is zero.
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