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Grade 12th passMechanics

A Frenchman, filling out a form, writes “78 kg” in the space marked Poids (weight). However, weight is a force and the kilogram is a mass unit. What do Frenchmen (among others) have in mind when they use a mass unit to report their weight? Why don’t they report their weight in newtons? How many newtons does this Frenchman weigh? How many pounds?

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8 Years agoGrade 12th pass
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ApprovedApproved Tutor Answer1 Year ago

When a Frenchman writes “78 kg” in the space for weight, he is indeed using a mass unit, which can be a bit confusing. In everyday language, many people use mass and weight interchangeably, but scientifically, they are distinct concepts. Let’s break this down to clarify what’s happening here.

The Difference Between Mass and Weight

Mass refers to the amount of matter in an object and is measured in kilograms (kg). Weight, on the other hand, is the force exerted by gravity on that mass. It is measured in newtons (N) in the International System of Units (SI). The relationship between mass and weight can be expressed with the formula:

  • Weight (W) = Mass (m) × Gravitational Acceleration (g)

On Earth, the average gravitational acceleration is approximately 9.81 m/s². Therefore, when someone states their weight in kilograms, they are often referring to their mass, as it is more straightforward and commonly understood in everyday contexts.

Why Use Kilograms Instead of Newtons?

In many cultures, including French-speaking countries, it is customary to express weight in kilograms. This practice likely stems from historical conventions and the simplicity of using mass as a proxy for weight in everyday situations. Most people are more familiar with kilograms when discussing body weight, making it a more practical choice for communication.

Calculating the Weight in Newtons

To find out how many newtons this Frenchman weighs, we can apply the formula mentioned earlier. Given that his mass is 78 kg, we can calculate his weight as follows:

  • Weight (W) = 78 kg × 9.81 m/s²
  • W = 764.58 N

So, this Frenchman weighs approximately 764.58 newtons.

Converting Kilograms to Pounds

To convert kilograms to pounds, we can use the conversion factor where 1 kg is approximately equal to 2.20462 pounds. Therefore, to find out how many pounds 78 kg is, we can calculate:

  • Weight in pounds = 78 kg × 2.20462 lbs/kg
  • Weight in pounds ≈ 171.96 lbs

Thus, this Frenchman weighs about 171.96 pounds.

Summary of Findings

In summary, when the Frenchman writes “78 kg,” he is expressing his mass, which is commonly accepted in everyday language. His weight in newtons is approximately 764.58 N, and when converted to pounds, it is about 171.96 lbs. Understanding these distinctions helps clarify how we communicate about weight and mass in different contexts.