Find acceleration due to gravity at a distance of \( 2000 \mathrm{~km} \) from the centre of ear...

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Find acceleration due to gravity at a distance of \( 2000 \mathrm{~km} \) from the centre of earth.
(Given, \( R_{E}=6400 \mathrm{~km}, r=2000 \mathrm{~km} \) and \( \left.M_{E}=6 \times 10^{24} \mathrm{~kg}\right) \)
(a) \( 1.53 \mathrm{~m} / \mathrm{s}^{2} \)
(b) \( 7.12 \mathrm{~m} / \mathrm{s}^{2} \)
(c) \( 3.06 \mathrm{~m} / \mathrm{s}^{2} \)
(d) \( 1.8 \mathrm{~m} / \mathrm{s}^{2} \)
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