Question

One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M = 5.95 × 10²⁴ kg and R = 2.57 × 10⁶ m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet?

Answer 1

Given is:-

and  

Now,

The diagram of the plane is shown below

Part-a

Gravitational acceleration is given by

here r=R

thus

by plugging all the values we get

Part-b

Here r=3R

thus

by plugging all the values we get