# Give the relation between mass and weight of a body.

Untitled Forums Assignment Help Give the relation between mass and weight of a body.

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Aakanksha
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Give the relation between mass and weight of a body.

#8879
Aakanksha
Participant

W = mg.

#18642
Keymaster

The mass and weight of a body are related concepts, but they are not the same thing. They are often confused, so it’s important to understand the difference between them:

1. Mass:

• Mass is a measure of the amount of matter in an object.
• It is a scalar quantity and is measured in units such as kilograms (kg) or grams (g).
• Mass is an intrinsic property of an object and remains the same regardless of its location in the universe.
2. Weight:

• Weight is the force exerted on an object due to gravity.
• It is a vector quantity, meaning it has both magnitude and direction. The direction is always towards the center of the gravitational field (usually towards the center of the Earth).
• Weight is measured in units of force, such as newtons (N) or pounds (lb).
• Weight depends on both the mass of the object and the strength of the gravitational field it is in.

The relationship between mass and weight can be expressed by the following equation:

Weight(W)=Mass(m)×Gravity(g)

Where:

• W is the weight of the object in newtons (N).
• m is the mass of the object in kilograms (kg).
• g is the acceleration due to gravity at the location of the object in meters per second squared (m/s²).

On the surface of the Earth, the average value of g is approximately 9.81 m/s². So, if you know the mass of an object, you can calculate its weight on Earth by multiplying the mass by the acceleration due to gravity (9.81 m/s²). However, keep in mind that the value of g varies slightly depending on your location on Earth and can also be different on other celestial bodies.

In summary, mass is a measure of the amount of matter in an object and remains constant, while weight is the force exerted on an object due to gravity and can vary depending on the strength of the gravitational field.

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