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#Earth's mass

4 public questions tagged with this topic.

What is the gravitational potential due to Earth at 1.92×107m from its center? (ME\=6×1024kg,G\=6.67×10−11N m2/kg2)

U = −GMEr. U = −6.67×10−11×6×10241.92×107. U = −2.083×107J/kg. As per NCERT, applying relevant law/formula with correct units and sign convention leads to -2.1 × 10⁷ 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.

Why does the Moon’s orbital period relate to Earth’s mass?

Kepler’s third law (T2 = 4π2GMEr3) to satellites like the Moon, where the period T depends on Earth’s mass ME, the central body, determining the gravitational force strength. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Earth’s mass determines the force. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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

What is the gravitational potential due to Earth at a distance of 1.6×107m from its center? ( ME\=6×1024kg,G\=6.67×10−11

U = −GMEr. U = −6.67×10−11×6×10241.6×107. U = −2.5×107J/kg. As per NCERT, applying relevant law/formula with correct units and sign convention leads to -2.5 × 10⁷ 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.