A projectile is to be launched from the surface of the earth so as to escape the solar system. Consider the gravitational force on the projectile due to the earth and the sun nly. The projectile is projected perpendicular to the radius vector of the earth relative to the centre of the sun in the direction of motion of the earth. Find the minimum speed of projection relative to the earth so that the projectile escapes out of the solar system. Neglect rotation of the earth. mass if the sum `M_(s)2xx10^(30)kg,` Mass of the earth `M_(e)=6.4xx10^(24)kg` Radius if the earth`R_(e)=6.4xx10^(6)m,` Earth- Sun distence `r=1.5xx10^(11)m`

Answer

13.6 km/s