An unmanned space probe (of mass m and speed v relative to the Sun) approaches the planet Jupiter (of mass M and speed VJ relative to the Sun) as shown in Fig. 9-84. The spacecraft rounds the planet and departs in the opposite direction. What is its speed (in kilometers per second), relative to the Sun, after this slingshot encounter, which can be analyzed as a collision? Assume v = 10.5 km/s and VJ = 13.0 km/s (the orbital speed of Jupiter).The mass of Jupiter is very much greater than the mass of the spacecraft (M m).

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In Figure 9-84 Problem 123