Question

If F is the force of attraction acting between two objects of mass M and m separated by a distance d, then which of the following is correct according to the Newton’s law of gravitation? (A) FMm and F1/d2 (B) FMm and F1/d3 (C) FM2m and F1/d2 (D) F1/M2m2 and Fd​

Answer 1

Answer:

The right answer is option (A)

Answer 2

Answer:

The correct option according to the universal law of gravitation is (A)i.e.F∝Mm and F∝1/d².

Explanation:

Newton's law of gravitation states that every particle attracts every other particle in the universe with force directly proportional to the product of the masses and inversely proportional to the square of the distance between them. i.e.

$F\propto \frac{m_1m_2}{r^2}$          (1)

Where,

F=gravitational force

m₁=mass of the first body

m₂=masss of the second body

r=distance between the two bodies

From the question we have,

m₁=M

m₂=m

r=d

By substituting the value of m₁,m₂, and r in equation (1) we get;

$F\propto \frac{Mm}{d^2}$

Hence the correct option is (A)F∝Mm and F∝1/d².