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Acceleration Of Block Against Friction - Practice Questions & MCQ

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • Acceleration of block against friction is considered one of the most asked concept.

  • 13 Questions around this concept.

Solve by difficulty

Consider a car moving on a straight road with a speed of 100 m/s the distance (in meters) at which car can be stopped is \left [ \mu _{k} = 0.5\right ]

Concepts Covered - 1

Acceleration of block against friction

 

  • Case 1:- Acceleration of a block on a horizontal surface

 

  • When the body is moving under application of force P, then kinetic friction opposes its motion.

              Let a is the net acceleration of the body.

       

           From the figure,

               ma = P - FK

               a=\frac{P-F_{K}}{m}

  • Case 2:- Acceleration of a block sliding down over a rough inclined plane

 

  • When the angle of the inclined plane is more than the angle of repose, the body placed on the inclined plane slides down with an acceleration a.

             

               From the figure,

ma=mg\ sin \theta - F

ma=mg\ sin \theta - \mu R

ma=mg\ sin \theta - \mu mg cos\theta

a=[sin \theta-\mu cos \theta]

For \mu=0   \therefore\ \;a=g\;sin\theta

  • Case 3:- Retardation of a block sliding up over a rough inclined plane

 

  • When the angle of the inclined plane is less than the angle of repose, then for the upward motion

                               

ma=mg\ sin\theta+F

ma=mg\ sin\theta+\mu mg\ cos\theta

ma=g[sin\theta+\mu cos\theta]

a=g[sin\theta+\mu cos\theta]

For \mu=0

a=g\ sin\theta

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Acceleration of block against friction

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