Final answer:
The mass of the space shuttle on Mercury is calculated by dividing its weight (3,491 N) by the gravitational acceleration on Mercury (4.5 m/s²), resulting in a mass of 776 kg.
Step-by-step explanation:
To find the mass of the space shuttle that lands on Mercury, you can use the formula Weight = mass × gravity. Here, the weight of the space shuttle is given as 3,491 N and the acceleration due to gravity on Mercury is 4.5 m/s². To find the mass, you would rearrange the formula to mass = Weight / gravity.
Therefore, the mass of the space shuttle would be: mass = 3,491 N / 4.5 m/s² = 776 kg.