Three particles of mass m each are placed at the three corners of an equilateral triangle of side a. Find the work which should be done on this system to increase the side of the triangle to $2 a$ .

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Solution

$W = Δ U = U_{f} - U_{i}$
$= 3 [\frac{- G m m}{2 a}] - 3 [- \frac{G m m}{a}]$
$= \frac{3 G m m}{2 a} = \frac{3 G m^{2}}{2 a}$

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Three particles of mass m each are placed at the three corners of an equilateral triangle of side a. Find the work which should be done on this system to increase the side of the triangle to 2a.

W=ΔU=Uf−Ui =3[−Gmm2a]−3[−Gmma] =3Gmm2a=3Gm22a

Three particles of mass m each are placed at the three corners of an equilateral triangle of side a. Find the work which should be done on this system to increase the side of the triangle to $2 a$ .

$W = Δ U = U_{f} - U_{i}$
$= 3 [\frac{- G m m}{2 a}] - 3 [- \frac{G m m}{a}]$
$= \frac{3 G m m}{2 a} = \frac{3 G m^{2}}{2 a}$