Question

4. A cylinder with a radius of 11 cm and a height of 3.4 cm has a mass of 10.0 kg. What
is the weight of this cylinder?​

Answer 1

Answer:

This cargo ship displaces an amount of water such that the weight of the displaced water is exactly equal to the weight of the ship and its cargo. The displacement of water is what produces the buoyancy to float this ship. When this photo was taken, the ship was empty so it did not sink very deep in the water to displace the necessary weight. When this ship is fully loaded with cargo, the water line will be where the black paint meets the red paint.

Archimedes’ Principle and Buoyancy

If an object is submerged in a liquid, the object displaces a volume of the liquid equal to the volume of the submerged object. Legend has it that this observation was made by Archimedes when he sat in a bath tub that was filled to the top of the tub. The volume of water that overflowed was equal to his own volume. The forces exerted by the fluid on the sides of the submerged object are balanced. However, the forces exerted by the fluid on the top and bottom of the object are not equal. The force exerted by the liquid below the object is greater than the force exerted by the liquid above it; the liquid exerts a net upward force on the submerged or floating object. This force is called buoyancy, and its magnitude is equal to the weight of the displaced water. Archimedes' Principle states that the buoyant force is equal to the weight of the displaced liquid.

Answer 2

Weight of a cylinder with a radius of 11cm and a height of 3.4cm having a mass of 10.0 kg = 98N

• The weight of a body is the relative mass of a body or the amount of matter contained by it, hence giving rise to a downward force on that body; it is defined as the heaviness of a body which may either be a body or a thing.
• In Physics, we define it as the force of gravitation acting on a body.
• Weight on a body is equal is equal to the mass of the body times the local acceleration of gravity (g = 9.8 m/s2).

       Hence,

       Weight = mass x g

• It is given that mass of body = 10.0 kg. Substituting it in the formula of weight, we get

        Weight = 10 x 9.8

                     = 98N

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