# What relationship does mass and weight have

### Mass and Weight - Definition, Relation, Difference & Effects of Gravity | [email protected]

Is your mass the same as your weight? If not, what's the relationship between these two ideas? And why do so many people get them confused. Mass and Weight. The mass of an object is a fundamental property of the object; a numerical measure of its inertia; a fundamental measure of the amount of. Weight variation with mass - Relationship between weight and mass - Calculate weight. constant (its value is 10), such a result shows that weight is proportional to mass: on More accurate measures would have led to a result of 9,81 N/kg.

Conversely, the load index rating on automobile tires, which specifies the maximum structural load for a tire in kilograms, refers to weight; that is, the force due to gravity.

Before the late 20th century, the distinction between the two was not strictly applied in technical writing, so that expressions such as "molecular weight" for molecular mass are still seen.

Because mass and weight are separate quantities, they have different units of measure. In the International System of Units SIthe kilogram is the basic unit of mass, and the newton is the basic unit of force. The non-SI kilogram-force is also a unit of force typically used in the measure of weight.

Similarly, the avoirdupois poundused in both the Imperial system and U. Converting units of mass to equivalent forces on Earth[ edit ] Gravity anomalies covering the Southern Ocean are shown here in false-color relief.

### What is similar between inertia, mass, and weight ? | How Things Fly

This image has been normalized to remove variation due to differences in latitude. When an object's weight its gravitational force is expressed in "kilograms", this actually refers to the kilogram-force kgf or kg-falso known as the kilopond kpwhich is a non-SI unit of force.

All objects on the Earth's surface are subject to a gravitational acceleration of approximately 9. The General Conference on Weights and Measures fixed the value of standard gravity at precisely 9. Thus the kilogram-force is defined as precisely 9. In reality, gravitational acceleration symbol: Engineers and scientists understand the distinctions between mass, force, and weight.

- Mass and Weight

Engineers in disciplines involving weight loading force on a structure due to gravitysuch as structural engineeringconvert the mass of objects like concrete and automobiles expressed in kilograms to a force in newtons by multiplying by some factor around 9. Material properties like elastic modulus are measured and published in terms of the newton and pascal a unit of pressure related to the newton.

Buoyancy and weight[ edit ] Regardless of the fluid in which an object is immersed gas or liquidthe buoyant force on an object is equal to the weight of the fluid it displaces.

## Mass versus weight

A hot air balloon when it has neutral buoyancy has no weight for the men to support but still retains great inertia due to its mass. Usually, the relationship between mass and weight on Earth is highly proportional; objects that are a hundred times more massive than a one-liter bottle of soda almost always weigh a hundred times more—approximately 1, newtons, which is the weight one would expect on Earth from an object with a mass slightly greater than kilograms.

A common helium-filled toy balloon is something familiar to many. When such a balloon is fully filled with helium, it has buoyancy —a force that opposes gravity. When a toy balloon becomes partially deflated, it will often become neutrally buoyant and can float about the house a meter or two off the floor.

In such a state, there are moments when the balloon is neither rising nor falling and—in the sense that a scale placed under it will have no force applied to it—is, in a sense perfectly weightless actually as noted below, weight has merely been redistributed along the Earth's surface so it cannot be measured.

Though the rubber comprising the balloon has a mass of only a few grams, which might be almost unnoticeable, the rubber still retains all its mass when inflated. If one were however to weigh a small wading pool that someone then entered and began floating in, they would find that the full weight of the person was being borne by the pool and, ultimately, the scale underneath the pool.

However, as noted, an object supported by a fluid is fundamentally no different from an object supported by a sling or cable—the weight has merely been transferred to another location, not made to disappear.

The mass of "weightless" neutrally buoyant balloons can be better appreciated with much larger hot air balloons. Buoyancy and the resultant reduction in the downward force of objects being weighed underlies Archimedes' principlewhich states that the buoyancy force is equal to the weight of the fluid that the object displaces. If this fluid is air, the force may be small. Buoyancy effects of air on measurement[ edit ] Normally, the effect of air buoyancy on objects of normal density is too small to be of any consequence in day-to-day activities.

For convenience, a standard value of buoyancy relative to stainless steel was developed for metrology work and this results in the term "conventional mass". Since objects with precisely the same mass but with different densities displace different volumes and therefore have different buoyancies and weights, any object measured on this scale compared to a stainless steel mass standard has its conventional mass measured; that is, its true mass minus an unknown degree of buoyancy.

In high-accuracy work, the volume of the article can be measured to mathematically null the effect of buoyancy.

Types of scales and what they measure[ edit ] A balance-type weighing scale: There is no effect of gravity on mass. It remains the same be it on Earth or any other planet like Moon even though the acceleration due to gravity value keeps on changing at different planets Effect of gravity on weight — Weight is how heavy an object is in a gravitational field. The weight of a body keeps on decreasing at higher altitude where it is furthest away from the center of gravity of Earth.

They are directly proportional to each other.

Mass is defined as the amount of matter with which it is made up of, regardless of its configuration or any force acting on the body. Weight is the computation of the force of gravity acting on a body and it depends on the value of acceleration due to the gravity of the place in which the body resides. Mass of a body being constant at any place is unaffected by the gravity whereas weight of an object is directly proportional to the value of gravity of that place.

S unit of mass is kilogram and gram respectively whereas that of weight is Newton and dyne respectively.

Device used for measurement: For mass the device used for measurement could be lever balance, beam balance, pan balance or any electronic device whereas the device used for measuring weight is spring balance. Given, gravity on the Earth's surface is 10 newtons per kilogram Solution: