A person has a mass of 63.4 kg .what is that weight in pound
The Correct Answer and Explanation is :
To convert a person’s mass from kilograms to pounds, you can use the conversion factor that 1 kilogram is approximately equal to 2.20462 pounds. Given that the mass of the person is 63.4 kg, the calculation for weight in pounds can be performed as follows:
[
\text{Weight (pounds)} = \text{Mass (kg)} \times \text{Conversion factor (kg to pounds)}
]
Substituting the values:
[
\text{Weight (pounds)} = 63.4 \, \text{kg} \times 2.20462 \, \text{pounds/kg}
]
Now, calculating that:
[
\text{Weight (pounds)} \approx 63.4 \times 2.20462 \approx 139.48 \, \text{pounds}
]
Thus, the weight of a person with a mass of 63.4 kg is approximately 139.48 pounds.
Explanation of Weight and Mass
Weight and mass are related but distinct concepts in physics. Mass is a measure of the amount of matter in an object and is typically measured in kilograms (kg) in the metric system. It is an intrinsic property that does not change regardless of location. For example, an object will have the same mass whether it is on Earth, on the Moon, or in space.
On the other hand, weight is the force exerted by gravity on an object. It is calculated by multiplying the mass of the object by the acceleration due to gravity, which is approximately 9.81 m/s² on the surface of Earth. The formula for weight (W) can be expressed as:
[
W = m \times g
]
where ( m ) is the mass and ( g ) is the acceleration due to gravity. Since weight is a force, it is measured in newtons (N) in the metric system, but in everyday use, especially in the United States, it is often expressed in pounds (lbs).
The conversion from kilograms to pounds reflects the gravitational force acting on the mass. Thus, understanding both concepts is essential, especially in fields such as science, engineering, and health, where accurate measurements can significantly impact outcomes.