Question

6. A wooden chair is pushed across a wooden floor. The friction force is 34.5 N. What

is the weight of the chair? What is the mass of the chair? (=0.30)
7. A copper piggy bank is pushed across a steel counter. The frictional force is 12 N
What is the mass of the piggy bank? (u= 0.36)
8. You are dragging a cat by its tail. The u between your cat and the floor is 0.21. If the
frictional force between your cat and the floor is 2.5 N, find the cat's mass.
I

Answer 1

6) m = 11.73 Kg

7) m = 3.4 Kg

8) m = 1.21 Kg

Step-by-step explanation:

6) Given,

The friction force, f = 34.5 N

The coefficient of friction, μ = 0.30

The friction force is given by the formula,

f = μ · η

Where η is the normal force acting on the body

η = m x g

Substituting 'η' in the above equation

f = μ · m x g

m = f / μg

Substituting the given values in the above equation

m = 34.5 / (0.3 x 9.8)

= 11.73 Kg

Hence, the mass of the wooden chair, m = 11.73 Kg

2) Given,

The friction force, f = 12 N

The coefficient of friction, μ = 0.36

Substituting the given values

m = 12 / (0.36 x 9.8)

= 3.4 Kg

Hence, the mass of the piggy bank, m = 3.4 Kg

3) Given,

The friction force, f = 2.5 N

The coefficient of friction, μ = 0.21

Substituting the given values

m = 2.5 / (0.21 x 9.8)

= 1.21 Kg

Hence, the mass of the cat, m = 1.21 Kg