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The gravitational field strength at the surface of a planet is 9.8 N/kg. What is

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Question: The gravitational field strength at the surface of a planet is 9.8 N/kg. What is the gravitational potential at the surface if the radius of the planet is 6.4 x 10^6 m?

Options:

  1. -62.72 x 10^6 J/kg
  2. -9.8 J/kg
  3. -19.6 x 10^6 J/kg
  4. -39.2 x 10^6 J/kg

Correct Answer: -62.72 x 10^6 J/kg

Solution: 

V = -g * r = -9.8 N/kg * 6.4 x 10^6 m = -62.72 x 10^6 J/kg.

The gravitational field strength at the surface of a planet is 9.8 N/kg. What is

Practice Questions

Q1
The gravitational field strength at the surface of a planet is 9.8 N/kg. What is the gravitational potential at the surface if the radius of the planet is 6.4 x 10^6 m?
  1. -62.72 x 10^6 J/kg
  2. -9.8 J/kg
  3. -19.6 x 10^6 J/kg
  4. -39.2 x 10^6 J/kg

Questions & Step-by-Step Solutions

The gravitational field strength at the surface of a planet is 9.8 N/kg. What is the gravitational potential at the surface if the radius of the planet is 6.4 x 10^6 m?
  • Step 1: Understand that gravitational field strength (g) is given as 9.8 N/kg.
  • Step 2: Identify the radius (r) of the planet, which is 6.4 x 10^6 m.
  • Step 3: Use the formula for gravitational potential (V), which is V = -g * r.
  • Step 4: Substitute the values into the formula: V = -9.8 N/kg * 6.4 x 10^6 m.
  • Step 5: Calculate the multiplication: -9.8 * 6.4 = -62.72.
  • Step 6: Add the unit to the result: -62.72 x 10^6 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 Gravitational Field and Potential – The gravitational potential is calculated using the formula V = -g * r, where g is the gravitational field strength and r is the distance from the center of the mass creating the field.
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