Cork and swimming

If a person weighs 80 kg, how many kilograms of cork must take a swimming belt to float on water? The density of the human body is 1050 kg/m3, and the cork is 300 kg/m3.

(Instructions: Let the human body and cork on a mixture with a density of 1000kg/m3. When you make the equation, you will compare the volumes of both components and the resulting mixture volume.)

Correct answer:

x =  1.6327 kg

Step-by-step explanation:

a=80 kh  h1=1050 kg/m3 h2=300 kg/m3 h3=1000 kg/m3  h = m/V V = m/h  a/h1+x/h2=(a+x)/h3 80/1050+x/300=(80+x)/1000  49x=80  x=4980=1.63265306  x=49801.632653=1.6327 kg



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