Question

A robotic spacecraft is flying in interstellar space on a straight line with a constant speed of 77.6 km/s. (See figure.) This speed is measured with respect to the space station the spacecraft was originally launched from. In interstellar space the gravitational pull from the stars is negligible, because the stars are extremely far. The spacecraft turns its main rocket engine on for a time period of 6.9 hours. The rocket engine provides a thrust of 936 N of force. What is the new speed of the craft after the engine is turned off? The mass of the spacecraft is 1100 kg. The rocket engine is very efficient, it uses only a very small amount of rocket fuel during this whole acceleration process without changing the mass of the craft. Submit Answer Tries 0/99 What if the spacecraft was oriented perpendicularly to its original velocity direction before the main engine is turned on? (See figure.) Determine the final speed of the spacecraft in this case. The maneuvering thrusters can change the orientation of the spacecraft, but they cannot provide any significant acceleration to the craft. Submit Answer Tries 0/99

Answer 1

Initial relocity of sface cft li: 77.6 km/s = 77600 m/s force ,F= 936N Time, ti 6.9h = 6.9*3600 = 24840 vec According to impulse - momentum thesiem. Imprelse - change in lineer Momentum Ext= mill-li) 936* 24840 0+776ook = 98736.58182. mir Tug = 98.74 kmis / Up = Ext tui= 1100 d finel velocity in > Op = Initieel direction is 77.6 km/s of final perpendiculas direction to : velocity in final initial direction is EX 936 x 24840 = = 21136.58782 m /j n = final speed = lutte = 80427.08 m/s = 180.42 kmlry = Orientation - tant(21176.5 15.240 Widit Initial direction