APFIVE Gravitational Force in a Sphere with a Cavity
A uniform sphere of radius $$R$$ and density $$\rho$$ has a small spherical cavity of radius $$R/4$$ carved out. The center of the cavity is at distance $$R/2$$ from the center of the sphere. A particle of mass $$m$$ is placed at the center of the cavity. What is the magnitude of the gravitational force on the particle?
A
$$0$$
B
$$\frac{4}{3}\pi G \rho m \cdot \frac{R}{2}$$
C
$$\frac{4}{3}\pi G \rho m R$$
D
$$\frac{4}{3}\pi G \rho m (R/2)^2$$
Question Leaderboard
Not enough data yet to show leaderboard.