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JEE Main 2025, 22nd January, Morning Shift, GRAVITATION|SHORTCUT METHOD|
A small point of mass m is placed at a distance 2R from the centre ‘O ' of a big uniform solid sphere of mass M and radius R . The gravitational force on ' m ' due to M is F1. A spherical part of radius R/3 is removed from the big sphere as shown in the figure and the gravitational force on m due to remaining part of is found to be F2 . The value of ratio F1/F2 is

JEE Main 2024, 31st January, Morning Shift, GRAVITATION |SHORTCUT METHOD|

Four identical particles of mass are kept at the four corners of a square. If the gravitational force exerted on one of the masses by the other masses is ((2√2+1)/32) Gm2/L2, the length of the sides of the square is

Net gravitational force at the center of a square is found to be F1 when four particles having mass M, 2M, 3M and 4M are placed at the four corners of the square as shown in figure and it is F2 when the positions of 3M and 4M are interchanged. The ratio F1/F2 is α/√5. The value of α is . JEE Main 2026.

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Three masses 200 kg, 300kg and 400 kg are placed at the vertices of an equilateral triangle with sides 20 m. They are rearranged on the vertices of a bigger triangle of side 25 m and with the same centre. The work done in this process J. (G= 6.7 x 10-11 N m2 / kg2 ) JEE Main 2026.

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A planet (P1) is moving around the star of mass 2M in the orbit of radius R . Another planet (P2) is moving around another star of mass 4M in a orbit of radius 2R . Ratio of time periods of revolution of P2 and P1 is ________. JEE Main 2026.
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The minimum energy required to launch a satellite of mass ’m’ from the surface of earth of mass M and radius R in a circular orbit at an altitude of 2R from the surface of the earth is:

The escape velocity for earth is v . A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:

The amount of work done to raise a mass ' m ' from the surface of the Earth to a height equal to the radius of the Earth ' R ' will be

A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is

A body starts falling freely from height, H hits an inclined plane in its path at height h, As a result of this perfectly elastic impact, the direction of the velocity of the body becomes horizontal. The value of H/h for which the bod,y will take the maximum time to reach the ground is [JEE 21 MAIN]

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