Last minute question!!!!!

[crappy]

hey guys, can someone describe how a spaceship's velocity and Ek will increase via slingshot effect from Jupiter, in terms of CONSERVATION OF MOMENTUM ONLY.
I already know, using the conservation of energy, but how would I explain it through momentum.

thanks



keep trollin

[mark_alec]

Spaceship of mass m is moving towards Jupiter with velocity +u (relative to the Sun).
Jupiter of mass M >> m is moving towards spacecraft with velocity -u' (relative to Sun).
Initial momentum = mu+Mu'

After slingshot the approximate value (given that m << M) of the spaceship's velocity -(u+u')
Jupiter's velocity remains -u'
While it appears that momentum isn't conserved, the Jupiter lost a very small amount of momentum, which balances out the large increase in velocity picked up by the spaceship.

[crappy]

Spaceship of mass m is moving towards Jupiter with velocity +u (relative to the Sun).
Jupiter of mass M >> m is moving towards spacecraft with velocity -u' (relative to Sun).
Initial momentum = mu+Mu'

After slingshot the approximate value (given that m << M) of the spaceship's velocity -(u+u')
Jupiter's velocity remains -u'
While it appears that momentum isn't conserved, the Jupiter lost a very small amount of momentum, which balances out the large increase in velocity picked up by the spaceship.

Thankyou mark_alec!!!!!!!