Final answer:
The weight of the astronaut on Jupiter would be 1,806.41 N.
Step-by-step explanation:
To calculate the weight of the astronaut on Jupiter, we first need to find the mass of the astronaut on Earth.
Given that the weight of the astronaut on Earth is 685 N and the acceleration due to gravity on Earth is approximately 9.8 m/s², we can use the formula W = mg to find the mass.
So, 685 N = m * 9.8 m/s². Rearranging the formula, we get m = 685 N / 9.8 m/s² = 69.9 kg.
Now, to find the weight of the astronaut on Jupiter where gravity is 25.9 m/s², we can use the formula W = mg again but with the mass we just calculated. So, W = 69.9 kg * 25.9 m/s² = 1,806.41 N.
Therefore, the weight of the astronaut on Jupiter would be 1,806.41 N.