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Two planets have masses M and 16 M and their radii are a and 2a, respectively. The separation between the centres of the planets is 10a. A body of mass m is fired from the surface of the larger planet towards the smaller planet along the line joining their centres. For the body to be able to reach at the surface of smaller planet, the minimum firing speed needed is :

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Important Questions on Gravitation

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Escape velocity when a body of mass m is thrown vertically from the surface of the earth is v, what will be the escape velocity of another body of mass 4 m is thrown vertically
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If the moon is to escape from the gravitational field of the earth forever, it will require a velocity ___ .
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A space station is at a height equal to the radius of the Earth. If 'VE' is the escape velocity on the surface of the Earth, the same on the space station is _____VE.
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It is given, R is the radius of the earth and ω is its angular velocity and gp is the value of g at the poles. The effective value of g at the latitude ϕ=60° will be equal to
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At what height above the earth's surface does the acceleration due to gravity fall to 1% of its value at the earth's surface?
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A planet has a mass M1 and radius R1. The value of acceleration due to gravity on its surface is g1. There is another planet 2, whose mass and radius both are two times that of the first planet. Which one of the following is the acceleration due to gravity on the surface of planet 2?
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Imagine a new planet having the same density as that of the earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of the earth is g and on the surface of the new planet is g', then
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The gravitational field in a region is given by g=5i^+12j^ N kg-1. The change in the gravitational potential energy of a particle of mass 2 kg when it is taken from the origin to a point 7 m,-3 m is