MENU
Question -

A spaceship is stationed on Mars. How muchenergy 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 = 2 × 1030 kg; mass of mars =6.4 × 1023 kg; radius of mars = 3395 km; radiusof the orbit of mars = 2.28 × 108kg; G= 6.67 × 10–11 m2kg–2.



Answer -

Mass of the spaceship, m= 1000 kg

Mass of the Sun, M = 2 × 1030 kg

Mass of Mars, mm = 6.4 × 10 23 kg

Orbital radius of Mars, R =2.28 × 10kg =2.28 × 1011m

Radius of Mars, = 3395 km= 3.395 × 106 m

Universal gravitational constant, G = 6.67 ×10–11 m2kg–2

Potentialenergy of the spaceship due to the gravitational attraction of the Sun 

Potential energy of thespaceship due to the gravitational attraction of Mars

Since the spaceship isstationed on Mars, its velocity and hence, its kinetic energy will be zero.

Totalenergy of the spaceship 

The negative signindicates that the system is in bound state.

Energy required forlaunching the spaceship out of the solar system

= – (Total energy of thespaceship)

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
×