Question

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 .

Answer 1

`0.0000584637\ m^(3)\\`

Step-by-step explanation:

Hello

Density is a measure of mass per unit of volume

`d=(m)/(v) \\\\\\`

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

`W=mg`

let

`d=13.6*10^(3) (kg)/(m^(3) )  \\ W=7.8 N\\W=mg\\m=(W)/(g) \\m=(7.8 N)/(9.81 (m)/(s^(2) ) )\\m=0.8 kg\\\\d=(m)/(v) \\v=(m)/(d) \\v=(0.8 kg)/(13.6*10^(3) (kg)/(m^(3) ))\\Volume=0.0000584637\ m^(3)`

the volumen of the sample is 0.0000584637 m3

have a great day