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#mass movement

2 public questions tagged with this topic.

Orbital Velocity and Time Period

A 5kg mass is moved from RE to 2RE from Earth’s center. What is the work done? (ME\=6×1024kg,RE\=6.4×106m,G\=6.67×10−11N

W = ΔV = −GMEm(1r2−1r1). r1 = 6.4×106m, r2 = 1.28×107m. W = −6.67×10−11×6×1024×5(11.28×107−16.4×106). W = −2.001×1015(−7.8125×10−8)≈1.56×108J. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.6 × 10⁸ J. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Orbital Velocity and Time Period

A 8kg mass is moved from 8RE to 16RE from Earth’s center. What is the change in potential energy? (ME\=6×1024kg,RE\=6.4×

ΔV = −GMEm(1r2−1r1). r1 = 5.12×107m, r2 = 1.024×108m. ΔV = −6.67×10−11×6×1024×8(11.024×108−15.12×107). ΔV = −3.202×1015(−9.766×10−9)≈3.13×107J. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.1 × 10⁷ J. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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