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#newtonian mechanics

2 public questions tagged with this topic.

Gravitational Effects and Applications

What is the gravitational force on a 13kg mass 11m from the center of a spherical shell of mass 700kg and radius 9m? (G\

Outside shell: F = GMmr2. F = 6.67×10−11×700×13112. F = 6.0689×10−8121≈5.02×10−10N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5.0 × 10⁻¹⁰ N. 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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Energy of Satellites and Binding Energy

Two masses 4kg and 8kg are 8m apart. What is the gravitational potential at a point 3m from the 4kg mass? (G\=6.67×10−11

Distance to 8kg: 8−3 = 5m. U = −Gm1r1−Gm2r2. U = −6.67×10−11(43+85). U = −6.67×10−11(1.333+1.6) = −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 C is scientifically correct.

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

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