If $W_1$ work is done against gravitational attraction to carry $10$ kg mass from earth's surface to infinity, then the magnitude of work done by the gravitational attraction in bringing $20$ kg mass from infinity to the centre of earth is

Q. Assertion :Gravitational potential is maximum at infinity. Reason: Gravitational potential is the amount of work done to shift a unit mass from infinity to a given point in gravitational attraction force field.

Q. When a mass $2\text{kg}$ is shifted from infinity to a point in gravitational field, it is found that work done by external force is $-100\text{J}$. If the mass is doubled and taken again from the same point to infinity without accelerating it, then the work done by gravitational force will be

Q. If mass of earth is $M$, radius is $R$ and gravitational constant is $G$, then work done to take $1kg$ mass from earth surface to infinity will be:

Q. Assuming earth as a uniform sphere of radius $R$, if we project a body along the smooth diametrical chute from the centre of earth with a speed $v$ such that it will just reach the earth's surface, the minimum external work done in shifting a particle from centre of earth to earth's surface is $W_1$ and that from surface of earth to infinity is $W_2,$ then $\frac{W_1}{W_2}$ is equal to:

Q. What is the work done is shifting a body of mass $m=50kg$ slowly from the earth's surface to infinity?