Question

If two spheres of equal masses with their centers 0.2m apart attract each other with a force of 1×10⁴kg wt. What should be there masses. Given :g=9.8ms-²and G=6.67×10¯¹¹Nm²kg¯³

Answer 1

I hope this helps. If you still have doubt or if you want an exact answer using log table feel free to ask.

Answer 2

The masses of two equal spheres is $7.66\times 10^6\ kg$.

Explanation:

Distance between masses, d = 0.2 m

Force of attraction between masses, $F=10^4\ kg-wt$

$g=9.8\ m/s^2$

So, $F=98000\ N$

The force of attraction between masses is given by :

$F=G\dfrac{m^2}{r^2}$

$m=\sqrt{\dfrac{Fr^2}{G}}$

$m=\sqrt{\dfrac{98000\times (0.2)^2}{6.67\times 10^{-11}}}$

$m=7.66\times 10^6\ kg$

So, the masses of two equal spheres is $7.66\times 10^6\ kg$. Hence, this is the required solution.

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