Define escape velocity. Does the escape velocity of a body from the Earth depend on (a) the mass of the body, (b) the location from where it is projected, (c) the direction of projection, and (d) the height of the location from where the body is launched? Why the atmosphere of Jupiter contains light gases (generally hydrogen) whereas the Earth's atmosphere has little hydrogen gas?

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TextEscape Speed from Earth

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Assertion(A): The escape velocity from earth's surface depends on the mass of the object. Reason(R): Escape velocity is independent of the direction of projection.

Assertion-ReasonEscape Speed from Earth

Hydrogen escapes faster from the Earth than oxygen. Why?

TextEscape Speed from Earth

Derive the expression for escape velocity for a body projected from the surface of the earth. Calculate escape velocity on the surface of the earth if the radius of the earth is 6400 Km and acceleration due to gravity is 9.8 m/s² on the surface of the earth. A body is projected out thrice the escape velocity. What will be the velocity of the body far away from the earth? Ignore the presence of the sun and other planets.

TextEscape Speed from Earth