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Practice question

Question

Two masses 5 kg and 10 kg are 10 m apart. What is the gravitational potential at a point 4 m from the 5 kg mass? ( G = 6.67 × 10⁻¹¹ N m²/kg² )

Options

Choose one · Correct answer highlighted

Explanation

Given: Two masses 5 kg and 10 kg are 10 m apart. What is the gravitational potential at a point 4 m from the 5 kg mass? ( G = 6.67 × 10⁻¹¹ N m²/kg² ) These values define the system as per NCERT data. Formula: Distance to 10 kg : 10 - 4 = 6 m. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: U = -G m_1/r_1 - G m_2/r_2 . U = -6.67 × 10⁻¹¹(5/4 + 10/6) . U = -6.67 × 10⁻¹¹(1.25 + 1.667) approx -1.95 × 10⁻¹⁰ J/kg . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

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