An engineer weighs a sample of mercury (ρ = 13.6 × 10^3 kg/m^3 ) and finds that the weight of the sample is 7.8 N. What is the sample’s volume? The acceleration of gravity is 9.81 m/s^2 . Answer in units of m^3 .

Respuesta :

Answer:

[tex]0.0000584637\ m^{3}\\[/tex]

Explanation:

Hello

Density is a measure of mass per unit of volume

[tex]d=\frac{m}{v} \\\\\\[/tex]

and the weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity

[tex]W=mg[/tex]

let

[tex]d=13.6*10^{3} \frac{kg}{m^{3} }  \\ W=7.8 N\\W=mg\\m=\frac{W}{g} \\m=\frac{7.8 N}{9.81 \frac{m}{s^{2} } }\\m=0.8 kg\\\\d=\frac{m}{v} \\v=\frac{m}{d} \\v=\frac{0.8 kg}{13.6*10^{3} \frac{kg}{m^{3} }}\\Volume=0.0000584637\ m^{3}[/tex]

the volumen of the sample is 0.0000584637 m3

have a great day