A spacecraft moves radially outward from an altitude of to above Earth’s surface

PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation

Problem

A 1.0×103 kg1.0\times10^{3}\,\text{kg} spacecraft moves radially outward from an altitude of 200 km200\,\text{km} to 600 km600\,\text{km} above Earth’s surface. Using M ⁣E=5.97×1024 kgM_{\!E}=5.97\times10^{24}\,\text{kg}, R ⁣E=6.37×106 mR_{\!E}=6.37\times10^{6}\,\text{m}, and G=6.67×10−11 N ⁣⋅ ⁣m2 ⁣/ ⁣kg2G=6.67\times10^{-11}\,\text{N}\!\cdot\!\text{m}^2\!/\!\text{kg}^2, calculate the change in the spacecraft’s gravitational potential energy. Provide the numerical value and unit.

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