Question: With working please 2) A spacecraft is flying by a bunch of planets X, Y, W and Z of masses Mx, My, Mw and Mz,

With working please

With working please 2) A spacecraft is flying by a bunch of

2) A spacecraft is flying by a bunch of planets X, Y, W and Z of masses Mx, My, Mw and Mz, Figure 2. What is the escape velocity in the gravitational potential of the planetary system for a spacecraft S of mass m, if the distances between spacecraft and the planets are Rx=10 km, Rz=2Rx, RY=3Rx and Rw=4Rx, and the planetary masses are Mx=1024 kg, My=Mz=Mw=2Mx? You may presume that the universal gravity constant G=6.7x10-1l N m2 kg-2, and the sizes of the spacecraft and the planets are much less than the distances between them, so that they may be treated as point-mass objects. A 651 ms-1 E 900 ms-1 B 490 ms-1 F 250 ms-1 C 177 ms-1 G 120 ms-1 D 130 ms-1 H 366 ms-1 Z W Spacecraft S Y X Figure 2. [30 marks]

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