Practice question

Given: How much energy is required to move a 200 kg satellite from 6 R_E to 12 R_E from Earth’s nter? ( M_E = 6 × 10²⁴kg, R_E = 6.4 × 10⁶m, G = 6.67 × 10⁻¹¹N m²/kg² ) Formula: Δ E = -G M_E m (1/r_2 - 1/r_1). Substitution & Calculation: r_1 = 3.84 × 10⁷m, r_2 = 7.68 × 10⁷m . Δ E = -6.67 × 10⁻¹¹ × 6 × 10²⁴ × 200 (1/7.68 × 10⁷- 1/3.84 × 10⁷) . Δ E = -8.004 × 10¹⁶(-1.302 × 10⁻⁸) approx 1.04 × 10⁹J . Final Result: The computed value matches expected outcome and confirms correct choice as per latest NCERT 2026-27.