Practice question
Question
How much energy is required to move a 200kg satellite from 6RE to 12RE from Earth’s center? (ME\=6×1024kg,RE\=6.4×106m,G\=6.67×10−11N m2/kg2)
Explanation
ΔE = −GMEm(1r2−1r1). r1 = 3.84×107m, r2 = 7.68×107m. ΔE = −6.67×10−11×6×1024×200(17.68×107−13.84×107). ΔE = −8.004×1016(−1.302×10−8)≈1.04×109J. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.0 × 10⁹ J. This satisfies dimensional consistency and physical conditions given, so option A is scientifically correct.
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