Mass and Weight: Two Different Physical Quantities

Introduction to Mass and Weight

Physics defines mass and weight as different terms having their own importance. Every physical calculation, derivation and experiment requires a proper understanding of both topics. Gravity is the main factor which separates both the terms. Weight is a variable quantity that is affected by gravity while mass is a constant quantity. Mass is quantity denoting heaviness of an object while weight is force in presence of gravity. Thus, these two terms are inter-related. The absence of mass also results in no weight but the absence of weight in presence of mass is possible. In this article we will study the importance, applications and the key differences between mass and weight.

Defining Mass: The Measure of Matter

A tiny micro scale mass has a huge contribution in physics. It is an inseparable property of every mini to macro substance which means it remains constant irrespective of where the thing lies in the universe. It can be measured using beam balance or pan balance.

Key characteristics of mass:

• Scalar quantity: Mass is independent of the location or direction or specific region and reads the same if measured. So, it is undoubtedly a scalar quantity.
• Constant value: The measured value doesn’t differ from place to place and stays the same whether it is on earth or on moon or any other celestial regions.
• Measure of inertia: The air resistance impacts as per choice of objects. Heavier objects need greater air resistance to be affected by it. Thus the inertia also shows its effect on an object according to its mass only in the presence of air resistance.

Gravitational force or even acceleration due to gravity are based on the mass or product of masses for the calculation. 

Newton in the 17th century described all physical phenomena according to mass. All the physical properties like momentum, inertia etc., depend upon mass according to Newton. The second law mathematically showed the mass relations with force, acceleration and momentum. General relativity, quantum mechanics, cosmology, all concentrate on the mass of an object and relate it with energy.

Defining Weight: The Gravitational Force on an Object

Weight is a derived quantity from mass. It occurred due to the effect of gravity and played a very important role in the gravity involving measurements. Weight is the force raised by gravity on an object of certain mass. It takes two major factors for measurement: the object’s mass and the gravitational acceleration at the spot where the object is present. Weight requires specifically designed devices to measure it like spring balance.

Mathematically, weight (W) =m×g [1]

 where:

• W = weight (in Newtons),
  
• m = mass (in kilograms),
  
• g = acceleration due to gravity (in m/s²).
  

The value of ‘g’ keeps varying; it is not even the same at different places of earth. The weight of a 50 kg object may be 491.6 N at poles and 489 N at the equator of the earth, keeping ‘g’ as 9.832 m/s^2 at the poles and 9.780 m/s^2 at the equator.

Key characteristics of weight:

• Vector quantity: Weight can be calculated as having certain magnitudes and also has direction towards the center of gravity. Therefore we undoubtedly call it a vector.
• Variable: Since it is already verified as having differing values from place to place, so it is a variable entity.

Key Differences Between Mass and Weight

Understanding these points is very important for the educational base in physics which later involves scientific measurements, experiments and engineering designs.

The Relationship Between Mass, Weight, and Gravity

Gravity is that universal factor of nature which is bounding and attracting every little thing of nature. Thus no mass is untouchable by gravity. Newton on studying matter and motion put them in one frame introducing a relation between them. His law known as Newton’s Law of Universal Gravitation derives: 

F=Gm1​m2​​/r^2 where:

• F = gravitational force
• G = gravitational constant,
•  m1, m2 = masses of two objects
• r = distance between two masses.

In a cosmic dimension, the gravitational force of any celestial object pulls an object near its surface, generating weight. No gravity can result in zero weight, but such conditions are difficult to obtain. If we increase our mass or migrate to a planet with higher gravity, our weight will rise as well.

Units of Measurement: Kilograms vs. Newtons

Mass Measurement

Mass is quantity measured in kilograms (kg) in SI units. In other units mass can be measured in grams (g), milligrams (mg), and metric tons (t).

1 kilogram = 1000 grams.

In laboratories and professional applications, mass is measured using a balancing scale. Balances analyze an unknown mass in reference to a standard mass, providing an accurate measurement free from gravitational influence.

Weight Measurement

The unit of weight is given in Newtons (N) as a credit to Newton for his pioneering work.

Similarly, 1 Newton is defined as the force required to accelerate a 1-kilogram mass by 1 meter per second squared: 1N=1kg×m/s2

Conversion

On Earth, where g≈9.8 m/s2

Therefore we can convert, Weight =Mass ×9.8

How Mass and Weight Vary on Different Planets

We are already familiar that gravity differs as per the objects. Every object has its own field of attraction that may be greater or undetectable due to their smaller mass. Since macro structures have greater pull, larger planets have greater value of acceleration due to gravity, which gives variation in weights.. Some values of acceleration due to gravity and converted weights of a certain object are tabulated below. The conversions are calculated as equation [1].

Common Misconceptions About Mass and Weight

People easily get confused while thinking about mass and weight. Thus a proper education must be circulated. Some misconceptions are as follows.

• Mass and Weight are the same thing: People often term mass as weight and easily say, ‘I weigh 60 kg’. We actually measure our mass on a daily basis.
• Spring scales measure weight, not mass: Students in the lab also get confused while measuring weight and mass.
• Weightlessness: Weightlessness can easily be experienced while free fall but one cannot have the condition of masslessness. This weightlessness occurs due to gravity but even in this condition mass will remain the same.
  
• Mass loss or gain: Weight gain is the wrong concept of people. It is the gain or loss of mass when body muscles or fat is gained. Hospitals also often say ‘We have to measure your weight’, which is a wrong concept..

Practical Examples Illustrating Mass and Weight

• Space Missions

Engineers must think about both mass and weight while constructing rockets or other spacecraft. Weight majorly impacts on calculations required for launching force.

• Construction

Structural engineers also predict the capacity of their constructions to hold certain mass and ensure the safety.

• Sports

Athletes also deal with gravity’s effect on mass like in weightlifting. The heaviest mass lifted against the gravity of earth is recorded to declare the winner.

• Everyday Life

When carrying bags or any mass our arms “feel” the weight of the bag. However, the mass of the bags is the same even if we somehow carried them on the Moon.

Understanding the Distinction and Its Importance

For any field of science, the distinct knowledge between mass and weight is strongly required. Some of the requirements are listed below.

• Scientific accuracy: In the fields of science like physics, chemistry, engineering, medical physics and microbiology, mass and weight must be defined and measured accurately to provide precise records.
• Architectural and structural design: Confusion between mass and weight can lead to severe damages and huge loss in constructions.
  
• Space exploration: Space missions solely rely on the accurate calculation of mass and weight to optimize fuel usage, trajectory, and payload capacity.
  
• Education: The strong base of these simple topics can prepare students for further study and research.

Conclusion

Mass and weight are frequently used topics in everyday terminology. Being two separate terms these two are often spoken as the same thing which creates huge error practically and theoretically. Mass refers to the load of an object which is the same for all topological distributions while weight is a suddenly derived quantity from mass. The connection of the two is surprising and simple but goes deeper down, governing science. Mass and weight exhibit everything from basic tasks like weighing groceries to serious actions like space exploration.  Honoring the distinctions between mass and weight helps us obtain greater awareness of the forces that rule the world and secure accuracy in research, engineering, and everyday life.

References

Davidson, S., Perkin, M., & Buckley, M. (2004). The measurement of mass and weight.
Mullet, E., & Gervais, H. (1990). Distinction between the concepts of weight and mass in high school students. International Journal of Science Education, 12(2), 217-226.

Fritz, M., & Hazarian, E. (2023). Mass and Weight Measurement. In Mechanical Variables Measurement-Solid, Fluid, and Thermal (pp. 1-1). CRC Press.

Gönen, S. (2008). A study on student teachers’ misconceptions and scientifically acceptable conceptions about mass and gravity. Journal of Science Education and Technology, 17(1), 70-81.

https://byjus.com/physics/difference-between-mass-and-weight/

https://www.thoughtco.com/mass-and-weight-differences-606116

https://www.geeksforgeeks.org/physics/mass-and-weight/