The mass density of a certain planet is uniform throughout the volume of the planet. if r is the distance from the center of the planet to a point mass inside the planet, the gravitational force on the mass is a : proportional to 1/r b : not dependent on r c : proportional to r2 d : proportional to 1/r2 e : proportional to r

Correct answer is option E ( gravitational force on the mass m will be proportional to r )

Explanation:

Let R be the radius of planet and M be its mass

Let us consider point mass m lie at the distance x(=R-r) below planet surface,

Than, We know that

Acceleration due to gravity at distance x below the planet's surface is given as

........(1)

But, x=R-r

put value of x in equation 1

Therefore gravitational force on mass m will be given as

..............(2)

From equation 2 it is clear that gravitational force on the mass m will be directly proportional to r hence correct option is E

false

explanation:

boats, things on boats luggage are way more heavy then water.

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explanation: