Question

Two point objects of mass 2x and 3x are separated by a distance r. Keeping the distance fixed, how much
mass should be transferred from 3x to 2x, so that gravitational force between them becomes maximum?
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Answer 1

TWO point objects of mass 2x and 3x are seperated by a distance r, the masses are m1=2*1.1275=2.254kg.

m2=3*1.1275=3.771kg.

In order to find the mass transferred from 3x to 2x .

Now take,

•MASS of FIRST object =m1= 2x

•MASS of SECOND object =m2 = 3x

•Also given that ,take GRAVITATIONAL FORCE i.e., g=9.81 m/s^2

We know that,

•From COLOUMB’s LAW,

* F=m1*m2/r^2

•. 9.81=2x*3x/r^2——equation 1

•Take,radius of both the masses is unity i.e., r=1

Now ,from equation 1

•. 9.81=6x^2/1

•. 9.81=6x^2

•. 9.81/6=x^2

•. 1.635=x^2

•. x=square root(1.635)

• x=1.275 kg

Answer 2

Answer:

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