Explain kinetic friction. Write the laws of kinetic friction. Define the coefficient of kinetic friction.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) When the magnitude of the force acting on an object lying on a surface exceeds the maximum static friction,the object will start moving in the direction of the external force. Hence,the value of the frictional force reduces to a value less than the maximum static frictional force.
The frictional force which opposes relative motion between surfaces in contact is called kinetic friction. It is denoted by $f_{k}$.
Laws of kinetic friction:
$(1)$ Kinetic friction does not depend on the area of contact between the surfaces.
$(2)$ Kinetic friction force does not depend on the relative velocity of the object in motion.
$(3)$ Kinetic friction force is proportional to the normal force.
$\therefore f_{k} \propto N$
$\therefore f_{k} = \mu_{k} N$
where $\mu_{k} = \text{coefficient of kinetic friction}$,$\mu_{k} = \frac{f_{k}}{N}$.
Coefficient of kinetic friction: The ratio of the kinetic friction force to the normal force is called the coefficient of kinetic friction.
Since $f_{s} > f_{k}$,it follows that $\mu_{s} > \mu_{k}$. Once relative motion starts,by Newton's second law of motion,the acceleration of the object is $a = \frac{F - f_{k}}{m}$.
If the object moves with constant velocity,then $F = f_{k}$.
If the external force applied is reduced to zero,then the acceleration of the object will be $-\frac{f_{k}}{m}$. Hence,it will stop after covering some distance.

Explore More

Similar Questions

$A$ body is moving with a uniform velocity of $2 \, m/s$ on a rough level surface. The frictional force on it is $10 \, N$. If the body moves with a velocity of $4 \, m/s$,the force of friction will be ........ $N$.

$A$ small body slips,subject to the force of friction,from point $A$ to point $B$ along two curved surfaces of equal radius,first along route $1$,then along route $2$. Friction does not depend on the speed and the coefficient of friction on both routes is the same. In which case will the body's speed at $B$ be greater?

$A$ body is moving along a horizontal surface with a velocity of $4 \,m/s$. If the coefficient of kinetic friction is $0.2$, the distance travelled by the body before coming to rest is $(g = 10 \,m/s^2)$. (in $\,m$)

$A$ particle of mass $M$ moves along a horizontal $x$-axis from $x=0$ to $x=L$. The coefficient of kinetic friction varies as a function of $x$ as $\mu(x) = \mu_0 - \alpha x$, where $\mu_0$ and $\alpha$ are constants of appropriate dimensions, such that $\mu(L)=0$. The total work done by the frictional force during the motion is $n\mu_0 MgL$, where $g$ is the acceleration due to gravity. The value of $n$ is:

$A$ block of mass $m$ is pulled along a horizontal surface by applying a force at an angle $\theta$ with the horizontal. The friction coefficient between the block and the surface is $\mu$. If the block travels at a uniform velocity,then the work done during its displacement $d$ is:

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo