A particle of mass m is located at a distance r from the center of a sphere of mass M and radius R.The force on the particle as a function of distance r,inside the sphere is given by

Question

Quizplus · Accepted Answer

The correct answer is given by the formula for gravitational force inside a uniform spherical mass distribution, which is $-\frac{GMmr}{R^3}$. This formula shows that the force is directly proportional to the distance $r$ from the center, where $M$ is the mass of the sphere, $m$ is the mass of the particle, and $R$ is the radius of the sphere. This relationship is derived from Newton's law of universal gravitation and the shell theorem, which states that a uniform spherical shell of mass exerts no net gravitational force on a particle located inside it.

A Particle of Mass M Is Located at a Distance