(adsbygoogle = window.adsbygoogle || []).push({}); The gravitational slingshot effect. In the diagram below, the planet Saturn moving in the negative xdirection at its orbital speed (with respect to the Sun) of 9.6 km/s. The mass of Saturn is 5.96 × 1026 kg. A spacecraft with mass 825 kg approaches Saturn. When far from Saturn, it moves in the +x-direction at 10.4 km/s. The gravitational attraction of Saturn (aconservative force) acting on the spacecraft causes it to swing around the planet (orbit shown as a dashed line) and head off in the opposite direction. Estimate the final speed of the spacecraft after it is far enough away to be considered free of Saturn’s gravitational pull.

m1v1 + m2v2= m1'v1' + m2'v2'

It seems like a simple equation. I know that the speed of Saturn and the mass of Saturn are not going to change. (this is true?) So the focus of this problem should be the spacecraft.

m1v1 = m1'v1' for the spacecraft.

I'm confused about how to factor in the gravitational force of Saturn? and this is obviously (?) important for finding the final speed of the air craft.

i think this is how you would find the gravitation acceleration of saturn:

F = Gm/ r^2; where G is a constant, m= mass of Saturn, and r= the radius of Saturn

= (6.67 X 10^-11 N m^2/kg)(5.96 × 1026 kg)/ (60,268,000^2 m )

= 10.9

is this right? BTW, i'm not so sure about the radius of Saturn...I got different numbers on the web

Okay, now I dont know what to do...

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# Homework Help: The gravitational slingshot effect

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