A spaceship is stationed on Mars. How much energy must be expended | Filo
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Class 11

Physics

Modern Physics

Gravitation

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A spaceship is stationed on Mars. How much energy must be expended on the spaceship to launch it out of the solar system ? Mass of the space ship = 1000 kg; mass of the sun = ; mass of mars = ;  Radius of mars = 3395 km;  Radius of the orbit of mars =

.

Solution:
Mass of the spaceship,
Mass of the Sun,
Mass of Mars,
Orbital radius of Mars,
Radius of Mars,
Universal gravitational constant,

The potential energy of the spaceship due to the gravitational attraction of the Sun,
Potential energy of the spaceship due to the gravitational attraction of Mars,
Since the spaceship is stationed on Mars, its velocity and hence, its kinetic energy will be zero.
Total energy of the spaceship,  

The negative sign indicates that the satellite is bound to the system.
Energy required for launching the spaceship out of the solar system  
       
       
       
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