EASY
JEE Main
IMPORTANT
Earn 100
At what altitude in metres will the acceleration due to gravity be of that at the earth's surface? (Radius of earth )
Important Questions on Gravitation
EASY
JEE Main
IMPORTANT
If the radius of the earth shrinks by (mass remaining the same), then the value of acceleration due to gravity changes by what percentage?
MEDIUM
JEE Main
IMPORTANT
What should be the angular speed of the Earth, so that the body lying on the equator may appear weightless?
MEDIUM
JEE Main
IMPORTANT
If both the mass and the radius of the earth decrease by the value of the acceleration due to gravity will be?
HARD
JEE Main
IMPORTANT
An object of mass is raised from the surface of the earth to a height equal to the radius of the earth, that is, taken from a distance to from the centre of the earth. What is the gain in its potential energy?
HARD
JEE Main
IMPORTANT
A star like the sun has several bodies moving around it at different distances. Consider that all of them are moving in circular orbits. Let be the distance of the body from the centre of the star and let its linear velocity be , angular velocity , kinetic energy , gravitational potential energy , total energy and angular momentum . As the radius of the orbit increases, determine which of the above quantities increase and which ones decrease.
HARD
JEE Main
IMPORTANT
A shell of mass and radius has a point mass placed at a distance from its centre. The gravitational potential energy vs. will be plotted as
MEDIUM
JEE Main
IMPORTANT
If a missile is launched with a velocity less than the escape velocity, the sign of its total energy is
EASY
JEE Main
IMPORTANT
The gravitational potential energy of a body of mass at the Earth's surface is, . Its gravitational potential energy at a height from the Earth's surface will be (Here is the radius of the earth)
