Two blocks of masses M₁ and M₂ are connected to each other through a light spring as shown in figure. If we push mass M₁ with force F and cause acceleration a₁ in mass M₁, what will be the magnitude of acceleration inM₂?

Q. Two bodies of masses

m_{1}

and

m_{2}

are placed at distance X from each other. If X is kept constant and the masses of the two bodies are increased to

2 m_{1}

, and

2 m_{2}

, then the value of gravitational force between them will become

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Two blocks of mass m1 and m2 are kept apart d from each other. What happens to the magnitude of the force on m1 if the distance between the centers of the masses is doubled?

The correct option is E It is quarteredDistance between the masses initially is d.Initial force on m1 due to m2, F=Gm1m2d2Now the distance between them is doubled keeping all the parameters same i.e d′=2dThus new force on m1 F′=Gm1m2(2d)2⇒F′=F4Thus the force is quartered.

Two blocks of mass $m_{1}$ and $m_{2}$ are kept apart d from each other. What happens to the magnitude of the force on $m_{1}$ if the distance between the centers of the masses is doubled?