Given:
The force between the masses M and M is F and the distance between them is d
The distance between masses 2M and 2M is 2d
To find:
The force between the masses 2M and 2M.
Step-by-step explanation:
From Newton's law of gravitation, the gravitational force between two objects is proportional to the product of the masses and inversely proportional to the square of the distance between the objects.
Thus the force between the masses M and M is given by,
The force between the masses 2M and 2M is
![\begin{gathered} F_2=(G*2M*2M)/((2d)^2) \\ \implies F_2=(G4M^2)/(4d^2) \\ \operatorname{\implies}F_2=(GM^2)/(d^2)\text{ }\to\text{ \lparen ii\rparen} \end{gathered}]()
From equations (i) and (ii),
Final answer:
The force of gravity in the second diagram is F.
Thus the correct answer is option B.