Question

A rectangular block of mass 30 kg measures 0.1 m by 0.4 m by 1.5 m. a. Calculate the weight of the block,

Answer 1

Answer:

294N or 30kgf

Explanation:

Weight is independent of measurements.

 Weight is the force by which objects are attracted towards center of earth. It given by the product of gravity and mass.

On earth, gravity = g = 9.8 m/s^2

So,

⇒  Weight = mass * 9.8  N

                  = 30 * 9.8 N

                  = 294 N

Or, we can directly say, it is 30 kgf.

Answer 2

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Q.) A rectangular block of mass 30 kg measures 0.1 m by 0.4 m by 1.5 m. Calculate the weight of the block.

$\mathtt{\huge{\underline{\green{Answer:-}}}}$

✏ The weight of the block is 294 N .

$\mathtt{\huge{\underline{\orange{Solution:-}}}}$

Given :-

• A rectangular block of mass 30 kg

• It measures 0.1 m by 0.4 m by 1.5 m.

To Find :-

• The weight of the block.

Calculation :-

According to the question ;

We know that ;

ρ = m/V

Where,

• m = 30

• volume of a cuboid :- L × B × H

L = 0.1 m

B = 0.4 m

C = 1.5 m.

=> L × B × H

=> 0.1 m × 0.4 m × 1.5 m

=> 0.04 × 1.5

=> 0.6 m³

So, volume of a cuboid 0.6 m³.

Using,

W = mass × acceleration due to gravity

=> W = 30 × 9.8 N

=> W = 294 N

The weight of the block is 294 N .

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⭐ Relation Between Mass & Weight :-

• Mass is a constant for each object, which means that mass cannot change until the object changes. Whereas the weight of the object depends on the center of the earth and the attraction force applied to the object.

• The mass of the object is the same at different places while the weight varies at different places. Here, from different places, it means the gravitational field.

• In places where the force of gravity is less, the weight of the object will be less and where the force of gravity is more, the weight of the object will be more while the mass of the object is the same at every place.

• The formula for weight is W = MG (where W is weight i.e. weight, M is mass i.e. mass and G is force of gravity i.e. gravity).

• Measure weight in Newtons and mass in kilograms.

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