MEDIUM
Physics
IMPORTANT
Earn 100

Supposing Newton's law of gravitation for gravitation forces F1 and F2 between two masses m1 and m2 at positions r1 and r2 read

F1=-F2=r12r123GM02m1m2M02n

where M0 is a constant of the dimension of mass, r12=r1-r2 and n is a number? In such a case 

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Important Questions on Gravitation

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Physics
IMPORTANT

Which of the following are true?

HARD
Physics
IMPORTANT
Consider a planet moving in an elliptical orbit round the sun. The work done on the planet by the gravitational force of the sun is 
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Physics
IMPORTANT

Two identical satellites are at R and 7R away from the earth surface, the wrong statement is (R=Radius of earth)

EASY
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IMPORTANT
A satellite is orbiting the earth. If it's distance from the earth is increased, then:
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IMPORTANT

Two artificial satellites of same mass are moving around the Earth in circular orbits of different radii. In comparison to the satellite with lesser orbital radius, the other satellite with higher orbital radius will have

HARD
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IMPORTANT
An astronaut whose height is 1.50 m floats "feet down" in an orbiting space shuttle at ag distance r=6.673×106 m away from the centre of Earth. The magnitude of difference between the gravitational acceleration at her feet and at her head is found to be N×10-5 m s-2. What is the value of $N$ ? [mass of earth =6×1024 kg  and G=6.67×10-11 N m2 kg-2]
HARD
Physics
IMPORTANT

A hollow sphere (mass m, radius R ) is put inside a hollow cone (mass m, radius 3R and semi-angle 30° ) as shown in the figure. The whole arrangement is rigidly fixed to the ground at the apex of the cone. Both the sphere and the cone are made of the same material α=10-4/C. Considering that major changes in dimensions could happen only due to heating effects, if the increase in potential energy (in Joule) of the system if it's temperature is increased by 100°C is U, what is the value of 10U?

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m=0.5 kg  

R=3-12 m

HARD
Physics
IMPORTANT
A satellite of mass m is orbiting the earth in a circular orbit at a height 2R above earth surface where R is the radius of the earth. If it starts losing energy at a constant rate β, then it will fall on the earth surface after the time t=GMmnβR. Assuming that the satellite is approximately in a circular orbit at all times, find the value of n.