Awood salvage company is hoisting an old tree trunk off the bottom and out of a lake. the cable from the hoist is tied around the log above its center of mass. the hoist applies a force of 9,800 n to the cable to suspend the log in the lake water (ft water), and a force of 29,000 n to suspend the log above the lake surface (ft air). what are the volume and density of the log? assume the lake water has a density of 1,007 kg/m3.

To solve this problem it is necessary to resort to the concepts expressed in the Buoyancy Force.

The buoyancy force is given by the equation

Where,

Density

V =Volume

g = Gravitational Acceleration

PART A) From the given data we can find the volume, so

PART B) The mass can be expressed from the Newton equation in which

Where,

m = mass

g = Gravitational acceleration

Replacing with our values we have that

Therefore the Density can be calculated with the ratio between the Volume and Mass

Therefore the Density of the log is

d) physical means can be used to separate the components of air.