S Spacecraft Voyager 2 (of mass m and speed v relative to the Sun) approaches th

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Spacecraft Voyager 2 (of mass m and speed v relative to the Sun) approaches the planet Jupiter (mass M and speed V relative to the Sun) as shown in Fig. 6-31. The spacecraft rounds the planet and departs in the opposite direction. What is its speed, relative to the Sun, after this "slingshot" encounter? Assume v = 12 km/s and V = 13 km/s (the orbital speed of Jupiter), and that this is an elastic collision. The mass of Jupiter is very much greater than the mass of the spacecraft, so M >> m.
km/s

Spacecraft Voyager 2 (of mass m and speed v relative to the Sun) approaches the planet Jupiter (mass M and speed V relative to the Sun) as shown in Fig. 6-31. The spacecraft rounds the planet and departs in the opposite direction. What is its speed, relative to the Sun, after this "slingshot" encounter? Assume v = 12 km/s and V = 13 km/s (the orbital speed of Jupiter), and that this is an elastic collision. The mass of Jupiter is very much greater than the mass of the spacecraft, so M >> m.

Explanation / Answer

2 V + v = 2*13 + 12 = 38 km/s

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