A metal bowl with a weight of 1.40 N is placed in a larger kitchen container filled with castor oil. How much castor oil must the bowl displace in order to float? For reference, the mass density of castor oil is about 961 g/liter and its weight density is about 9.42 N/liter. Please give your answer in liters.

Respuesta :

To solve this problem it is necessary to apply Newton's second Law and the relationship between density and mass, volume.

Newton's Second Law is described as

F= ma

Where,

m = Mass

a = Acceleration (Here is Gravity)

At the same time

[tex]\rho = \frac{m}{V}[/tex]

Where,

[tex]\rho =[/tex] Density

m = Mass

V = Volume

Replacing the value of Mass would be given then as,

[tex]F = \rho V g[/tex]

Solving for the Volume

[tex]V = \frac{F}{\rho g}[/tex]

[tex]V = \frac{1.4}{(0.961)(9.81)}[/tex]

[tex]V = 0.1485 Liters[/tex]

Therefore the Volume is 0.1485Liters