Question

4. How can you solve for the density of the liquid from the slope? Please show your

steps.

5. Predict how the buoyant force would differ for different liquids, like water vs. oil.

6. Write down the formula for the volume of a cylinder AND the area of a circle below.

Answer 1

Solution) (4)The slope of mass versus volume graph gives density .

Density = mass/volume

So taking mass on y - axis and volume on x - axis , density can be determined taking the slope of this graph .

(5) The buoyant force F ,

F = density of fluid × volume × acceleration due to gravity

So buoyant force is directly proportional to density of liquid

For water density = 1000 kg/m^3

For oil density = 930 kg/m^3

So water has more buoyant force than oil .

(6) Volume of cylinder V = (pi)(r^2)(L)

Here R is radius of cylinder

L is length

Area of circle A = (pi)(r^2)

Here r is radius of circle .