what is the velocity with which a body projected from the surface of the Moon may escape from its gravitational pull.also calculate the value of g on the Moon surface given mass of moon = 7.5×10^22 kg, radius of Moon = 1.7 ×10^6m and G = 6.67 × 10^-8dyne cm ^2 g^-2 .
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Answer:
The escape velocity of a projectile on the surface of earth is 11.2 km/s. If
a body is projected out with thrice of this speed, find the speed of the body
far away from the Earth. Ignore the presence of other planets and Sun.
Explanation:
ve = 11.2 km/s, velocity of projection = v = 3ve
Let m and v0
be the mass and the velocity of the projectile far away from
the Earth
then using law of conservation of energy,
mv mv mv = − e
v v v v v v 0 e e e e 2 2 2 2 = − = − ( ) 3 8 =
= 2 2´11.2 = 2 × 1.414 × 11.2 = 31.68 km/s
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