A block $B$ is pushed momentarily along a horizontal surface with an initial velocity $V.$ If $\mu $ is the coefficient of sliding friction between $B$ and the surface, block $B$ will come to rest after a time
AIPMT 2007, Medium
Download our app for free and get started
Given $u = V$, final velocity $= 0$.
Using $v = u + at$
$ \therefore 0=V-\text { at or },-a=\frac{0-V}{t}=-\frac{V}{t}$
$ f=\mu R=\mu m g \text { (fisthe force of friction) }$
$\therefore \text { Retardation, } a =\mu g \therefore t =\frac{V}{a}=\frac{V}{\mu g} .$
Using $v = u + at$
$ \therefore 0=V-\text { at or },-a=\frac{0-V}{t}=-\frac{V}{t}$
$ f=\mu R=\mu m g \text { (fisthe force of friction) }$
$\therefore \text { Retardation, } a =\mu g \therefore t =\frac{V}{a}=\frac{V}{\mu g} .$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1Two blocks, $4\, kg$ and $2\, kg$ are sliding down an inclined plane as shown in figure. The acceleration of $2\, kg$ block is ........ $m/s^2$View Solution
- 2A chain of length $L$ rests on a rough table. If $\mu $ be the coefficient of friction, the maximum friction of the chain that can hang over the table will beView Solution
- 3A conveyor belt is moving at a constant speed of $2\, m s^{-1}$. A box is gently dropped on it. The coefficient of friction between them is $\mu = 0.5.$ The distance that the box will move relative to belt before coming to rest on it, taking $g = 10\, m s^{-2},$ is ........... $m$View Solution
- 4A body of mass $2\,kg$ slides down with an acceleration of $3\,m/s^2$ on a rough inclined plane having a slope of $30^o$ . The external force required to take the same body up the plane with the same acceleration will be ........ $N$ $(g\, = 10\, m/s^2)$View Solution
- 5A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is $\mu .$ If the mass is pulled by a force $P$ as shown in the figure, the limiting friction between body and surface will beView Solution
- 6View SolutionA passenger inside a bus moving with uniform speed suddenly finds that a ball at rest, starts moving towards his left. It means that the bus now is
- 7A box when dropped from a certain height reaches the ground with a speed $v$. When it slides from rest from the same height down a rough inclined plane inclined at angle $45^{\circ}$ to the horizontal, it reaches the ground with a speed $v / 3$. The coefficient of sliding friction between the box and the plane is (Take, acceleration due to gravity is $10 \,ms ^{-2}$ )View Solution
- 8The blocks are in equilibrium. The friction force acting on $10 kg$ block is :View Solution
- 9A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is $20\, m.$ The speed of the car at the top of the hill is betweenView Solution
- 10View SolutionIf the overbridge is concave instead of being convex, the thrust on the road at the lowest position will be