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Question

How much energy is required to move a 700kg satellite from 11RE to 22RE 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 = 7.04×107m, r2 = 1.408×108m. ΔE = −6.67×10−11×6×1024×700(11.408×108−17.04×107). ΔE = −2.801×1017(−7.102×10−9)≈1.99×109J. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.0 × 10⁹ J. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.