Question
The minimum energy required to launch a satellite of mass m from the surface of earth of mass M and radius R in a circular orbit at an altitude of 2 R from the surface of the earth is:
NEET
Physics
Gravitation
2024
NEET 2024
NEET Physics Question (2024) — Solution
Options
- A. 2 G m M 3 R
- B. G m M 2 R
- C. G m M 3 R
- D. 5 G m M 6 R
Answer
D. 5 G m M 6 R
Step-by-step solution
Apply energy conservation, gathered U_i+K_i=U_f+K_f \\ - G M m R +K_i=- G M m 3 R + 1 2 m v^2 \\ - G M m R +K_i=- G M m 3 R + 1 2 m G M 3 R \\ K_i=- 1 6 G M m R + G M m R \\ K_i= 5 6 G M m R gathered
Related: Physics — Gravitation · All PYQ Banks