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#gravitational attraction

2 public questions tagged with this topic.

Escape Velocity and Bound Systems

Why does the gravitational potential energy approach zero as the distance between two masses increases?

V = −GMmr, with the convention that V = 0 at r→∞. As r increases, 1r decreases, making V less negative and approaching zero. As per NCERT, applying relevant law/formula with correct units and sign convention leads to It is defined as zero at infinity. 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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Escape Velocity and Bound Systems

Three masses of 12kg each form an equilateral triangle with side 9m. What is the net force on one mass? (G\=6.67×10−11N

Force between two masses: F = Gm2r2 = 6.67×10−1112×1292 = 1.185×10−10N. Two forces at 60°: FR = F2+F2+2F2cos⁡60∘. FR = (1.185×10−10)2(1+1+1) = 1.185×10−103. FR≈2.05×10−10N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.1 × 10⁻¹⁰ N. 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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