Gravitational Potential
The gravitational potential at a point due to Earth is -62.5 MJ/kg. What is the gravitational field intensity at that point if the point is at a distance of 10⁷ m from Earth's center?
Select the correct option:
Solution
6.25 N/kg
- Potential vs Field: For spheres, ∣V∣=rGM and E=r2GM.
- Direct Relation: E=r∣V∣.
- Apply Data:
- ∣V∣=62.5×106 J/kg.
- r=107 m.
- Calculation:
- E=10762.5×106=6.25 N/kg.
- Note: Gravitational field intensity has units of acceleration (m/s2), which is also expressed as N/kg.
🔒 Solution Hidden from View
Submit your answer to unlock the detailed step-by-step solution.
More gravitational potential Practice Questions
A construction crane lifts a steel beam of mass 500 kg vertically upward at constant velocity to a h...
A construction crane lifts a steel beam of mass 500 kg vertically upward at constant velocity to a h...
A 500 kg payload is carried by rocket from the Earth's surface to a great height where it is effecti...
A 500 kg payload is carried by rocket from the Earth's surface to a great height where it is effecti...
At a certain point in space the gravitational potential due to a point mass is found to be negative ...
At a certain point in space the gravitational potential due to a point mass is found to be negative ...
A librarian lifts a 5 kg stack of books from the floor and places it on a shelf 1.8 m above the grou...
A librarian lifts a 5 kg stack of books from the floor and places it on a shelf 1.8 m above the grou...
A spacecraft control team needs the gravitational potential at the surface of the Earth for trajecto...
A spacecraft control team needs the gravitational potential at the surface of the Earth for trajecto...
In a tabletop demonstration, two small spheres each of mass 10 kg are held with their centres exactl...
In a tabletop demonstration, two small spheres each of mass 10 kg are held with their centres exactl...
About This Question
- Subject
- physics
- Chapter
- gravitation
- Topic
- gravitational potential
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
6.25 N/kg
- Potential vs Field: For spheres, ∣V∣=rGM and E=r2GM.
- Direct Relation: E=r∣V∣.
- Apply Data:
- ∣V∣=62.5×106 J/kg.
- r=107 m.
- Calculation:
- E=10762.5×106=6.25 N/kg.
- Note: Gravitational field intensity has units of acceleration (m/s2), which is also expressed as N/kg.
This medium difficulty physics question is from the chapter gravitation, covering the topic of gravitational potential. It appeared in the 2025 exam.
Looking for more practice? Explore all physics questions or browse gravitation questions on RankGuru.