1.1. The graph in Figure 1 shows how the amount of work done on a spacecraft relates to the gravitational potential above the Moon’s surface during a launch from the surface of the Moon.   

Figure 1

Use Figure 1 to calculate the mass of the spacecraft.

1.2. Using the graph in Figure 1, calculate the work done on the spacecraft to raise it to a point where the gravitational potential is half of the value at the surface of the Moon. 

1.3. Calculate the height of the spacecraft above the surface of the Moon when it is raised it to a point where the gravitational potential is half of the value at the surface of the Moon, as in part (b). 

 The Moon has a mass of 7.37 × 10²² kg