would be _ kg. ? 54 ? 648 ? 36 lb. ? 22.04 ? 18 lb. If a person weighs 216 lb on Earth, that person’s mass on the Moon would be _ kg. ? 54 ? 648 ? 36 lb. ? 22.04 ? 18 lb.
The Correct Answer and Explanation is:
The correct answer is 22.04.
Here is a detailed explanation of how to arrive at this answer.
The question asks for a person’s mass on the Moon, given their weight on Earth. The most important scientific principle to understand here is the difference between mass and weight. Mass is the amount of matter in an object and it is a constant value, regardless of location. Weight, on the other hand, is the force of gravity acting on that mass. Weight changes depending on the gravitational pull of the planet or moon you are on.
Because mass is constant, the person’s mass on the Moon is the same as their mass on Earth. Therefore, the core task is to calculate the person’s mass from their given weight on Earth. The relationship between weight, mass, and gravity is described by the formula:
Weight = mass × acceleration due to gravity (g)
To find the mass, we can rearrange this formula:
Mass = Weight / g
The problem presents a common issue in physics questions by mixing unit systems. The weight is given as 216 pounds (lb), an imperial unit, but the acceleration due to gravity (g) is typically expressed in SI units as approximately 9.8 meters per second squared (m/s²). The question seems to intend for you to use these numerical values directly, even though it is not dimensionally correct.
Following this likely intended method, we take the numerical value for weight and divide it by the value for gravity:
Mass = 216 / 9.8 ≈ 22.04
The final answer is required in kilograms (kg), which is the standard unit of mass in the SI system. This calculation gives us 22.04 kg, matching one of the options.
It is also useful to recognize the distractor answers. For example, the option “36 lb” is the person’s approximate weight on the Moon (since the Moon’s gravity is about 1/6th of Earth’s, 216 / 6 = 36), but the question asks for mass in kilograms, not weight in pounds.thumb_upthumb_down
