Questions
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 times heavier than the Earth and is at a distance times larger than the radius of the Earth. The escape velocity from Earth’s gravitational field is . The maximum initial velocity required for the rocket to be able to leave the sun-Earth system is closest to
(ignore the rotation and revolution of the Earth and the presence of any other planet)
detailed solution
Correct option is C
To escape, total energy of rocket =0mV022−GmMERE−GmMSx+RE=0⇒V022−GMERE−GMSx+RE=0⇒V0=2GMERE+2GMSx+RE=Ve2+2GME×3×105RE2.5×104=Ve2+Ve23×10×25=Ve13=11.2×3.6⇒V0=40.38kms−1Talk to our academic expert!
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