Question

A coke can of negligible mass is in the shape of a cylinder. Its volume is 500 ml and its base area is 100/3 cm^2 . A person consumes nearly 25 ml of coke for every sip. After he consumes 12 sips of the drink, what is the height of the centre of gravity of the can from its base when placed vertically? If the mass of the can is not negligible, how would this answer vary?

Answer 1

Answer:

(i) Find the volume and base area of the coke can from the given data.

Find the centre of gravity (G1)(G1), when the coke can is filled completely with coke.

Does this G1G1 lie at half of the height of the cylinder?

Find the amount of volume of coke left after 12 sips.

Find the height of the coke in the can by the formula, h=volumebase areah=volumebase area

Then the centre of gravity (G2)(G2) will be equal to (h/2).

If the mass of the can is not negligible, will this have its own centre of gravity?

Will the position G2G2 shifts upwards?

(ii) 3 cm

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Answer 2

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