Gravitational Potential Inside Spherical Shells
Consider a solid sphere of radius R₁ and a concentric spherical shell with an inner radius R₁ and outer radius R₂. Both objects have the same uniform density ρ. A particle of mass m is positioned at a distance r from the common center, where R₁ < r < R₂. Which expression correctly represents the gravitational potential energy of the particle?
A
-(Gmρπ/3)[2(r² - R₁²) + (R₂³/r)]
B
-(Gmρπ/3)[2(R₂² - R₁²) + (R₁³/r)]
C
-(4πGmρ/3)[(r² - R₁²) + (R₁³/r)]
D
-(2πGmρ)(R₂² - r²/3)
Question Leaderboard
Not enough data yet to show leaderboard.