Final answer:
The space traveller's mass is approximately 59.6 kg, calculated by dividing the measured weight of 585 N by the acceleration due to gravity, which is 9.82 m/s².
Step-by-step explanation:
The mass of the space traveler can be determined using the relationship between weight, mass, and the acceleration due to gravity. The formula for weight is:
w = mg
where w stands for weight, m for mass, and g for acceleration due to gravity. By rearranging this formula to solve for mass, we get:
m = w / g
Given that the weight (w) is 585 N and the acceleration due to gravity at the location is 9.82 m/s², the mass (m) can be calculated as follows:
m = 585 N / 9.82 m/s²
Performing the division gives us the mass:
m ≈ 59.6 kg
The space traveller's mass is approximately 59.6 kilograms.