A 5000-kg spacecraft is in a circular orbit 2000 km above the surface of Mars. How much work must the spacecraft engines perform to move the spacecraft to a circular orbit that is 4000 km above the surface?

Step 1: Mass of spacecraft m = 5000 kg Radius of Mars R = 3400 km Mass of Mars M = 6.42 x 10 23 Distance between Mars and the spacecraft (Initial) h = 2000 km 1 Distance between Mars and the spacecraft (Final) h = 4000 km 1 Gravitational Constant G = 6.67 x 10 Nm /kg-11 2 2