A cup has a mass of 0.0650 kg and a
volume of 0.000250 m3, and is floating in fresh water. Pennies are put into the
cup until the top of the cup is level with the water line. What is the mass of the
pennies in the cup?

Respuesta :

Answer: 0.185

Explanation:

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The correct answer about law of floatation is, “0.185 kg”.

What are the conditions for object to float on water?

  • The object's average density must be lower than the density of the fluid in which it must float.
  • The fluid's upward push force on the item must match the object's entire weight.
  • The objects's volume which is submerged in water has to be large enough so that a large amount of water can be displaced.

What is law of floatation?

When a body which is floating in a liquid, the amount of weight of liquid that is displaced by the body's submerged portion equals the body's total weight.

How to solve this question?

Volume of water that the cup has displaced = volume of cup

Volume of water that the cup has displaced = 0.000250 m³

Mass of water the cup has displaced = Density of water × Volume of water that the cup has displaced

Given that 1000 kg/m³ is the water density,

Mass of water the cup has displaced = 1000 X 0.000250 = 0.250 kg

Mass of water the cup has displaced = 0.250 kg

By law of flotation

Mass of water the cup has displaced = Mass of cup + Mass of pennies

0.250 Kg = 0.065 Kg + Mass of pennies in the cup (in Kg)

Mass of pennies in the cup = 0.250 - 0.065

Mass of pennies in the cup = 0.185 kg

Hence the mass of the pennies in cup came out be 0.185 Kg after solving.

Learn more about Law of floatation and Archimedes' principle here:

https://brainly.com/question/17032479

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