A satellite with a mass of 113 kg approaches a large planet at a speed vi,1 =10.3 km/s. The planet is moving at a speed vi,2 =14.6 km/s in the opposite direction. The satellite partially orbits the planet and then moves away from the planet in a direction opposite to its original direction (see the figure). If this interaction is assumed to approximate an elastic collision in one dimension, what is the speed of the satellite after the collision? This so-called slingshot effect is often used to accelerate space probes for journeys to distance parts of the solar system.

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ý don't know anything about physics and ý need to pass thýs lesson. ýf ý cant pass my schollarsýp ýs goýng to keep. please help
Here it is almost April, and you still don't know anything about physics? How's that skipping class working out for you?
apply the law of conservation of momentum, and the law of conservation of energy.

You will have two equations, two unknowns (V1', V2').

I recommend the method of substitution.