To get a body’s exact weight on a specific gravity field, apply the Weight Formula. Any mass that experiences weight does so because of gravity. The SI unit of weight is the Newton. The symbol for weight is W. Depending on the body’s sensation of gravity, weight may change.
The Weight Formula and its origin are the subject of the resources made available by Extramarks on the designated topic. Weight is the term used to describe the force that gravity exerts on a body or an object. As a result, the weight is displayed on the scale when a person stands on it. Therefore, a heavier person results in a greater reading on the scale. A person should imagine losing weight as lowering the force of gravity pulling him or her toward the Earth.
What is Weight?
Simply said, Weight Formula is the result of the gravitational pull. Weight Formula is undoubtedly a force that affects all items or bodies whenever they are close to a heavenly body like the Earth. All objects are pulled downward and toward the centre of the Earth by gravity. By dividing the gravity-induced acceleration by the mass of the particular object, one can calculate the strength of the force of gravity.
In some literature, Weight Formula is referred to as a scalar quantity that measures the gravitational force’s strength. Contrarily, weight is sometimes referred to in the literature as a vector quantity, or the gravitational force acting on the object.
Force is undoubtedly the measurement system used to determine Weight Formula. The newton is the name of this unit in the International System of Units (SI). On the surface of the Earth, a kilogram-sized object would weigh around 9.8 Newtons. On the moon, it would also weigh just about a sixth as much.
There is no doubt that the mass of an object and the force of gravity on it affect its weight. This is why mass and Weight Formula are different. Whether an object was on the Moon or the Earth, its mass would be the same. On Earth compared to the Moon, an object would weigh differently as a result of gravity. The following is an explanation of the Weight Formula:
The Weight Formula is calculated as mass multiplied by gravity.
The Weight Formula equation is shown on the Extramarks website and mobile application.
Weight Formula Derivation
A freely falling body would undergo acceleration regardless of mass, as is widely known from experiments. This acceleration is indicated by the letter “g” and is brought on by the pull of gravity. Additionally, this acceleration pulls toward the Earth’s centre. As a result, the Second Law of Motion provides us with:
F = ma
Here, m stands for mass, F for force, and a for acceleration.
Now for bodies that are falling freely
a = g\sF = w
Here, w = mg since g = gravity and w = weight.
Solved Examples on Weight Formula
Q1. An individual weighs 70 kg, and the Earth’s gravity is 9.8 m/s2. Find out this person’s weight.
Answer: One must use the weight formula in order to determine the Weight Formula.
Here, g = 9.8 m/s2 and m = 70 kg.
W = mg
W = 70 × 9.8\sW = 637 Nw
As a result, the guy is 637 Nw in weight.
Q2. On the moon, a person weighs 250 Nw. Calculate the person’s mass while assuming a gravity of 1.6 m/s2 for the mass.
Answer: Here, g = 1.6 m/s2 and w = 250 Nw.
156.25kg is equal to 250Nw/1.6m/s2 m when W = mg m = w/g m.
As a result, the person weighs 156.25 kg.
Q3. How much does a body on the moon weigh if its mass is 60 kg? The value for g is 1.625 m/s2.
The values of m = 60 kg and
g = 1.625 m/s2
W = mg is the Weight Formula.
W = 60×1.625\sW = 97.5 N