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Question

How much energy is required to move a 400kg satellite from 8RE to 16RE from Earth’s center? (ME\=6×1024kg,RE\=6.4×106m,G\=6.67×10−11N m2/kg2)

Options

Choose one · Correct answer highlighted

Explanation

ΔE = −GMEm(1r2−1r1). r1 = 5.12×107m, r2 = 1.024×108m. ΔE = −6.67×10−11×6×1024×400(11.024×108−15.12×107). ΔE = −1.601×1017(−9.766×10−9)≈1.56×109J. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.6 × 10⁹ J. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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