Question

In: Physics

A 1-kg wooden branch floats on the surface of a freshwater lake. a) Determine the magnitude...

A 1-kg wooden branch floats on the surface of a freshwater lake. a) Determine the magnitude of the buoyant force on the branch b) Determine the volume of water (in m displaced by the branch.

Solutions

Expert Solution

Mass of the wooden branch m = 1 kg

Wooden branch floats on the surface of a fresh water ,So, buoyant force on the branch is equal to weight of the branch.

Therefore buoyant force = mg

                                   = (1kg)(9.8m/s 2)

                                F = 9.8 N

(b).The volume of the water V = ?

We know F = Vg

From this V = F / g

                  = 9.8 /(1000x9.8)

                  = 10 -3 m 3


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