what is the relation between the mass M and the weight W of a body ? What are the differences between the two
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What Is the Difference Between Weight and Mass?
Mass vs Weight: Comparing and Understanding the Differences
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artpartner-images / Getty Images
by
Anne Marie Helmenstine, Ph.D.
Updated August 12, 2019
The terms "mass" and "weight" are used interchangeably in ordinary conversation, but the two words don't mean the same thing. The difference between mass and weight is that mass is the amount of matter in a material, while weight is a measure of how the force of gravity acts upon that mass.
Mass is the measure of the amount of matter in a body. Mass is denoted using m or M.
Weight is the measure of the amount of force acting on a mass due to the acceleration due to gravity. Weight usually is denoted by W. Weight is mass multiplied by the acceleration of gravity (g).
W = m * gW=m∗g
Comparing Mass and Weight
For the most part, when comparing mass and weight on Earth—without moving!—the values for mass and weight are the same. If you change your location with respect to gravity, mass will remain unchanged, but weight will not. For example, your body's mass is a set value, but your weight is different on the Moon compared with on Earth.
Mass is a property of matter. The mass of an object is the same everywhere. Weight depends on the effect of gravity. Weight increases or decreases with higher or lower gravity.
Mass can never be zero. Weight can be zero if no gravity acts upon an object, as in space.
Mass does not change according to location. Weight varies according to location.
Mass is a scalar quantity. It has magnitude. Weight is a vector quantity. It has magnitude and is directed toward the center of the Earth or other gravity well.
Mass may be measured using an ordinary balance. Weight is measured using a spring balance.
Mass usually is measured in grams and kilograms. Weight often is measured in newtons, a unit of force.
Answer:
mass:mass refer to amount of matter present in a body .
mass =density × volume
si unit of mass = kg
mass scaler quantity.
weight: we can say that weight is a force .
weight =mass×acceleration
si unit of weight is newton
difference between mass and weight
mass,
- it is constant everywhere
- it is scaler quantity.
but
weight,
- it's value is different at different places
- it is a vector quantity