Question

Two bodies having same mass 2kg each have different surface are as 50m^2 and 100m^2 in contact with a horizontal plane. If coefficient of friction is 0.2. The ratio of forces of friction on them while they are in motion is

Answer 1

Answer:

The ratio of forces of friction on them while they are in motion  is 1.

Explanation:

Given that,

Two bodies having same mass 2 kg each.

Surface area of one body $A= 50 m^2$

Surface area of another body $A'= 100 m^2$

Coefficient of friction = 0.2

The masses of the bodies are the same so the frictional force will be same of the both bodies.

We need to calculate the frictional force

$F_{\mu}=\mu mg$

Put the value into the formula

$F_{\mu}=0.2\times2\times9.8$

$F_{\mu}=3.92\ N$

The frictional force is depends only on the mass of the object.

The  frictional force does not depend on the surface area of the object.

We need to calculate the ratio of forces of friction on them while they are in motion

The ratio of frictional force of both bodies

$\dfrac{F_{\mu}}{F'_{\mu}}=\dfrac{3.92}{3.92}$

$\dfrac{F_{\mu}}{F'_{\mu}}=1$

Hence, The ratio of forces of friction on them while they are in motion  is 1.