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 × 10â»Â¹Â¹ N m²/kg² )
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 × 10â»Â¹Â¹ 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 × 10â»Â¹Â¹(5/4 + 10/6) . U = -6.67 × 10â»Â¹Â¹(1.25 + 1.667) approx -1.95 × 10â»Â¹â° J/kg .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
Discussion
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