Kepler's Laws

Q.

What happens to the force between two objects, if

The mass of one object is doubled?

Q.

What happens to the force between two objects, if the mass of one object is doubled?

Q.

The force between two ___________ masses is proportional to the product of their masses and inversely proportional to the square of the distance between them.

Q.

What happens to the force between two objects if : (a) The mass of one object is doubled? (b) The mass of both the objects are doubled? (c) The distance between the objects is doubled and tripled?

Q. Aryan and Kevin are two friends. The mass of Aryan is 40 kg and the mass of Kevin is 50 kg. If they are 50 cm away from each other, then find the gravitational force (in N) acting between them. (G is the universal gravitational constant)

1. $2000GN$
2. $6000GN$
3. $8000GN$
4. $10000GN$

Q. Two balls, A and B of masses 0.4 kg and 1.2 kg respectively, are placed at a distance of 12 cm from each other. Another ball of mass 0.1 kg is placed in between them such that there is no net force acting on it. Find the distance of the third ball from ball A.

1. $-6-6\sqrt{3}\text{cm}$
2. $-6+6\sqrt{3}\text{cm}$
3. $12-6\sqrt{3}\text{cm}$
4. $-12+6\sqrt{3}\text{cm}$

Q. An exoplanet having equal mass and radius one-third of the Earth is discovered by the scientists. Calculate the value of acceleration due to gravity on that exoplanet, if its value on Earth is 'g'.

1. 3g
2. 9g
3. $\frac{g}{3}$
4. $\frac{g}{9}$