It was found that when a piece of copper is completely immersed in kerosene, its weight decreases by 250 N
It was found that when a piece of copper is completely immersed in kerosene, its weight decreases by 250 N. What is the volume of this piece of copper?
dP = 250 Newton – the value by which the weight of a piece of copper has decreased after immersion in kerosene;
ro = 800 kilograms / cubic meter is the density of kerosene;
g = 9.8 Newton / kilogram – acceleration of gravity.
It is required to determine V (cubic meter) – the volume of a piece of copper that is immersed in kerosene.
When a body is immersed in a liquid, its weight decreases by an amount equal to the Archimedean (buoyancy) force acting on this body. Based on this, we get that:
Farchimedes = dP = ro * g * V, from here we find:
V = dP / (ro * g) = 250 / (9.8 * 800) = 250/7840 = 25/784 = 0.032 m3 (the result has been rounded to one thousandth).
Answer: The volume of a piece of copper is 0.032 m3 (32 liters).