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#two masses

3 public questions tagged with this topic.

Energy of Satellites and Binding Energy

Two masses 10kg and 20kg are 20m apart. What is the gravitational potential at a point 9m from the 10kg mass? (G\=6.67×1

Distance to 20kg: 20−9 = 11m. U = −Gm1r1−Gm2r2. U = −6.67×10−11(109+2011). U = −6.67×10−11(1.111+1.818)≈−1.95×10−10J/kg. As per NCERT, applying relevant law/formula with correct units and sign convention leads to -1.9 × 10⁻¹⁰ J/kg. This satisfies dimensional consistency and physical conditions given, so option A is scientifically correct.

Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.

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Orbital Velocity and Time Period

Two masses 3kg and 6kg are 6m apart. What is the gravitational potential at a point 2m from the 3kg mass on the line joi

Distance to 6kg: 6−2 = 4m. U = −Gm1r1−Gm2r2. U = −6.67×10−11(32+64). U = −6.67×10−11(1.5+1.5) = −2.001×10−10J/kg. As per NCERT, applying relevant law/formula with correct units and sign convention leads to -2.0 × 10⁻¹⁰ J/kg. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.

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Gravitational Potential and Field

Two masses 11kg and 22kg are 22m apart. What is the gravitational potential at a point 10m from the 11kg mass? (G\=6.67×

Distance to 22kg: 22−10 = 12m. U = −Gm1r1−Gm2r2. U = −6.67×10−11(1110+2212). U = −6.67×10−11(1.1+1.833)≈−1.96×10−10J/kg. As per NCERT, applying relevant law/formula with correct units and sign convention leads to -2.0 × 10⁻¹⁰ J/kg. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.

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