Gravitation

Assertion : Gravitational potential and gravitational potentail energy, both are related to the work done by gravitational force in the gravitational field Reason : Gravitational field strength is related to the gravitaional force in gravitational field.

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

The gravitational force exerted by the Sun on the Moon is about twice as great as the gravitational force exerted by the earth on the Moon, but still Moon is not escaping from the gravitational influence of the earth. Mark the option which correctly explains the above system.

The gravitational potential due to earth at infinite distance from it is zero. Let the gravitational potential at a point P be -5 J kg^(-1) . Suppose, we arbitrarily assume the gravitational potential at infinity to be +10 J kg^(-1) , then the gravitational potential at P will be

Match of following columns {:(,"Column-I",,"Column-II"),("(A)",underset(underset("field is increasing")("particle in gravitational"))("Kinetic enery of a"),"(p)",underset(underset("be positive")("gravitational force should"))("Work done by")),("(B)",underset(underset("field is increasing")("particle in gravitational"))("Potential energy of a"),"(q)",underset("force should be non-zero")("Work done by external")),("(C)",underset(underset("field is increasing")("particle in gravitational"))("Mechanical energy of a"),"(r)",underset(underset("be negative")("gravitational force should"))("Work done by")),(,,"(s)","Cannot say anything"):}

A block of mass m is lying at a distance r from a spherical shell of mass m and radius r, then : A. only gravitational field inside the shell is zero B. gravitational field and gravitational potential both are zero inside the shell C. gravitational potential as well as gravitational field inside the shell are not zero . D. can't be ascertained

The gravitational potential in a region by V = (20x + 40y)j/kg. Find out the gravitational field (in newton /kg) at a point co-ordinates (2,4). Also find out the magnitude of the gravitational force on a particle of 0.250 kg placed at the point (2,4) .