Calculate the escape velocity of a satellite launched from the earth's surface if the radius of the earth is 6.4x106m

Answer Details

Escape velocity is the minimum velocity required by an object to escape the gravitational pull of a planet or a star. To calculate the escape velocity from Earth's surface, we can use the formula:
v = sqrt(2GM/R)
where v is the escape velocity, G is the universal gravitational constant, M is the mass of the Earth, and R is the radius of the Earth.
Plugging in the values, we get:
v = sqrt(2 x 6.67 x 10^-11 x 5.97 x 10^24 / 6.4 x 10^6)
v = sqrt(2 x 9.82 x 10^7)
v = sqrt(1.96 x 10^8)
v = 1.4 x 10^4 m/s
Converting this into kilometers per second, we get:
v = 14 km/s
Therefore, the correct option is "11.3kms^-1".