Hey ❤
Google ⚠
Define gravitational potential energy. Find the gravitational potential energy of a system of four particles each of mass m placed at the vertices of a square of side a.
Carries 2 Marks
Class 11 CBSE
Answers
Answered by
2
Answer:
Gravitational Potential energy is the mechanical energy stored in a body by the virtue of its position with respect to other bodies.
Calculation:
4 objects each of mass "m" are placed at the 4 vertices of a square.
We will calculate the potential energy of different interactions individually.
1st case:
Objects at a distance "a" (along the edges o the square)
E1 = [G(m)(m)/a ] × 4
=> E1 = 4Gm²/a .........(1)
2nd case:
Objects located at a distance a√2 (along the Diagonal)
E2 = [G(m)(m)/(a√2)] ×2
=> E2 = √2Gm²/a .........(2)
Total Potential Energy
= E1 + E2
= (4 + √2)Gm²/a
Similar questions