The escape velocity for a body projected vertically upwards from the surface of earth is 11 Km/s. If the body is projected at an angle of 45o with the vertical, the escape velocity will be

  • Option 1)

    11\sqrt{2}\: Km/s

  • Option 2)

    22\: Km/s

  • Option 3)

    11 Km/s

  • Option 4)

    11/\sqrt{2}\: m/s    

 

Answers (1)

As we learnt in 

The escape velocity of a body does not depend on the angle of projection from earth. It is 11 km/sec.

 

Escape energy -

\frac{GMm}{R}=Escape \; Energy

M\rightarrow  Mass of planet

m\rightarrow mass of body

G\rightarrow Gravitational constant

- wherein

Energy to be given to a object on the surface of earth so that it's total energy is 0

 

 The Escape velocity of a body  indepdent from angle of projection is 11 km/sec.

 


Option 1)

11\sqrt{2}\: Km/s

Incorrect

Option 2)

22\: Km/s

Incorrect

Option 3)

11 Km/s

Correct

Option 4)

11/\sqrt{2}\: m/s    

Incorrect

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