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1 year ago

What is the relationship between mass and weight in physics?

1 answer:

7 0

We are aware that weight is the product of applied gravitational force and mass. W = MG thus, where W represents the weight, M the mass, and G the gravitational force. As a result, it might also mean that "an object's weight is directly proportionate to its mass."

Mass is a physical body's total amount of matter.
It also serves as a gauge for the body's inertia, or resistance to acceleration (change in velocity) in the presence of a net force.
The strength of an object's gravitational pull to other bodies is also influenced by its mass.
The kilogram is the primary mass unit in the SI (kg).
Even though weight is frequently measured using a spring scale rather than a balancing scale and directly compared with known masses, mass is not the same as weight in physics.

<h3>What is weight?</h3>

The force exerted on an object by gravity is known as the weight of the object in science and engineering.
Weight is sometimes described as a vector quantity, or the gravitational force exerted on the object, in some common textbooks.
Others define weight as a scalar quantity, the gravitational force's strength.
Others define it as the strength of the force applied to a body as a result of systems designed to resist the effects of gravity; the weight is the amount that is determined, for instance, by a spring scale.

Learn more about mass here:

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i) No, the spring scale does not read a different value

ii) The torque will read a different value, it will reduce

iii) The spring scale does not need to be measured at the center of mass location.

Explanation:

The torque caused by the gyroscope can be given by the relation,

$\tau =$ r × f

$\tau = rf cos \theta$

The torque measured by the gyroscope varies directly with the distance, r.

A decrease in the distance r will also cause a decrease in the value of the torque measured. When the distance, r is reduced from 7.5 inches to 5 inches, the torque caused by the gyroscope's weight also reduces.

The weight of the gyroscope remains constant despite the reduction in the distance because the weight of the gyroscope is not a function of the distance from the gyroscope. Therefore, the spring scale will not read a different value.

Yes, the spring scale does not need to be measured from the center of mass location because the weight does not depend on the location of measurement. The reading of the sprig scale remains constant.

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