Final answer:
The weight of a 75 kg astronaut on the moon would be 121.875 N, rounded to the nearest whole number is 122 N. The closest answer to this from the options provided would be Option B. The mass of the astronaut remains constant across the Moon and Earth, only the weight changes due to the difference in gravity.
Step-by-step explanation:
Calculating the Weight of an Astronaut on the Moon
The weight of an astronaut on the moon can be calculated using the formula weight = mass × acceleration due to gravity. On the Moon, the acceleration due to gravity is about 1.625 m/s², which is approximately 1/6th of the Earth's gravity. Given the astronaut's mass is 75 kg, we use the formula to calculate their weight as follows: weight on Moon = 75 kg × 1.625 m/s² = 121.875 N. Since the weight must be a whole number, in Newtons (N), we round it to the nearest whole number giving us 122 N. Based on the answer choices provided, Option B (125 N) is the closest to our calculated weight.
However, it should be noted that the typo in the original question with different units (N for Newtons and NB, NC, ND which are not standard units of force) can cause confusion. It's essential to use the correct unit for weight, which is Newtons.
Regarding the related information:
- The weight of an astronaut and their space suit on the Moon is 250 N, and to find the Earth weight, we would multiply by the moon's gravity relative to Earth's gravity (6 times more on Earth).
- The mass of an object remains the same regardless of the location, whether on the Moon or Earth, since mass is a measure of the amount of matter in the object.