Practice question
Question
Minimum speed to escape from 2 R_E from Earth’s nter is? ( g = 9.8 m/s², R_E = 6.4 × 10ⶠm )
Explanation
Given:
Minimum speed to escape from 2 R_E from Earth’s nter is? ( g = 9.8 m/s², R_E = 6.4 × 10ⶠm )
These values define the system as per NCERT data.
Formula:
v_e = sqrt2 g R_E²/2 R_E = sqrtg R_E.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
v_e = sqrt9.8 × 6.4 × 10â¶= sqrt6.272 × 10â·. v_e approx 7.92 × 10³ m/s approx 7.9 km/s .
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.
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