The gravitational force between two objects is $1 \ N$. If the distance between the two objects is doubled,what will be the new gravitational force between them (in $N$)?

The mass of the moon is $1\%$ of the mass of the earth. The ratio of the gravitational pull of the earth on the moon and that of the moon on the earth will be

Statement $(I)$: The force of attraction due to a hollow spherical shell of uniform density on a point mass situated inside it is always zero.
Statement $(II)$: The force of attraction between a hollow spherical shell of uniform density and a point mass situated outside is the same as if the entire mass of the shell were concentrated at the center of the shell.
Which of the following is correct?

$A$ mass $M$ is split into two parts $m_0$ and $M-m_0$. These two masses are then separated by a distance $D$. If the gravitational force between the parts is maximum,then the ratio $\frac{m_0}{M}$ is

If the masses of two point objects are tripled and the distance between them is doubled,then the gravitational force of attraction between them will increase by .......... $\%$

Find the acceleration of our galaxy due to the nearest comparably sized galaxy. The approximate mass of each galaxy is $8 \times 10^{11}$ solar masses,and they are separated by $2 \times 10^6$ light-years. Each galaxy has a diameter of $10^5$ light-years. (Assume $1 \text{ light-year} \approx 10^{16} \text{ m}$,gravitational constant $G \approx 10^{-10} \text{ Nm}^2/\text{kg}^2$,and mass of the Sun $= 2.0 \times 10^{30} \text{ kg}$)