A rocket is launched normal to the surface of the Earth

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A rocket is launched normal to the surface of the Earth, away from the Sun, along the line joining the Sun and the Earth. The Sun is 3×1053\times10^5 times heavier than the Earth and is at a distance 2.5×1042.5\times10^4 times the radius of the Earth. The escape velocity from Earth's gravitational field is ve=11.2 km s−1v_e=11.2\,\mathrm{km\,s^{-1}}. The minimum initial velocity vsv_s required for the rocket to leave the Sun-Earth system is closest to, ignoring the rotation and revolution of the Earth and the presence of any other planet, (1) vs=22 km s−1v_s=22\,\mathrm{km\,s^{-1}} (2) vs=42 km s−1v_s=42\,\mathrm{km\,s^{-1}} (3) vs=62 km s−1v_s=62\,\mathrm{km\,s^{-1}} (4) vs=72 km s−1v_s=72\,\mathrm{km\,s^{-1}}

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