Three masses 200 kg, 300 kg and 400 kg are placed at the vertices of… | JEE Main 2026 (24 Jan, Shift 1)

Q5JEE Main 2026 · 24 JAN · SHIFT 1Medium

Gravitational Potential & Energy

Three masses $200\text{ kg}, 300\text{ kg}$ 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. (Gravitational constant $G = 6.7 \times 10^{-11}\text{ N m}^2/\text{kg}^2$ )

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Answer: (b)

$U = -\frac{G(m_1m_2 + m_2m_3 + m_3m_1)}{a}$ ; $\sum m_im_j = 60000 + 120000 + 80000 = 2.6\times10^5$
$W = U_f - U_i = G(2.6\times10^5)\left(\frac{1}{20} - \frac{1}{25}\right)$
$W = 6.7\times10^{-11}\times2.6\times10^5\times0.01$
$W = 1.74\times10^{-7}\ \text{J}$
So the answer is (b).

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