A satellite is launched from Earth’s surface with a speed of

PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation

Problem

250\,\text{kg}

satellite is launched from Earth’s surface with a speed of

7.6\,\text{km}\,\text{s}^{-1}

. Neglect atmospheric drag. Using

G = 6.67\times10^{-11}\,\text{N}\,\text{m}^2\text{kg}^{-2}

, Earth’s mass

M_E = 5.97\times10^{24}\,\text{kg}

, and Earth’s radius

R_E = 6.37\times10^{6}\,\text{m}

, determine whether the satellite’s trajectory relative to Earth will be bound, marginal (escape), or unbound.