Final answer:
The mass of the space traveller can be found by dividing her weight by the acceleration due to gravity on Earth, resulting in approximately 57.39 kg.
Step-by-step explanation:
To find the mass of the space traveller, we can use the relationship between weight, mass, and gravitational acceleration: weight (w) = mass (m) × gravitational acceleration (g).
In this case, the weight is given as 563 N and the acceleration due to gravity is approximately 9.81 m/s². By rearranging the formula to solve for mass, we get m = w/g. Substituting the given values: m = 563 N / 9.81 m/s² which gives us the mass of the space traveller.
The resulting calculation will show that the space traveller has a mass of approximately 57.39 kg, which is obtained by dividing her weight by the acceleration due to gravity on Earth.