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Law of Conservation of Energy

the total mec...

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the total mechanical energy of an object of mass m projected from surface of earth with escape speed i

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Q. A particle of mass

m

is projected from the surface of earth with a speed

V_{0}

V_{0}

< escape velocity). The speed of the particle at a height h

=

R (radius of the earth) is

Q. An object of mass

m

is at rest on earth's surface. Escape speed of this object is

v_{e}

. Same object is orbiting earth with

h = R

, then its escape speed will be

v_{e}^{^{'}}

. Find the correct alternative

Q. An object is projected horizontally with speed

\frac{1}{2} \sqrt{\frac{G M}{R}}

, from a point at height

3 R

from surface of earth, where

R

M

is mass of earth, then object will

Q. An object is projected vertically upwards from the surface of the earth with a velocity

3

times the escape velocity

v_{e}

from earth's surface. What will be its final velocity after escape from the earth's gravitational pull?

Q. The magnitude of potential energy per unit mass of an object at the surface of earth is

E

, the escape velocity of the object is

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