A small box resting on one edge of the table | vedclass

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(A) For the block,the final velocity $v = 0$,time $t = 2 \, s$,and displacement $s = 1 \, m$.Using the equation of motion $v = u + at$,we get:$0 = u +

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must be less than $0.05$

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(A) For the block,the final velocity $v = 0$,time $t = 2 \, s$,and displacement $s = 1 \, m$.Using the equation of motion $v = u + at$,we get:$0 = u + a 	imes 2 \Rightarrow a = -u/2$.Using the equation $v^2 - u^2 = 2as$,we get:$0 - u^2 = 2 	imes (-u/2) 	imes 1 \Rightarrow -u^2 = -u \Rightarrow u(u - 1) = 0$.Since $u 
eq 0$,the initial velocity is $u = 1 \, m/s$.The acceleration is $a = -u/2 = -0.5 \, m/s^2$.The force of kinetic friction is $f_k = \mu_k mg = m|a|$.Thus,$\mu_k g = |a| \Rightarrow \mu_k = 0.5 / 10 = 0.05$.In this calculation,we have ignored air resistance and other dissipative forces. In a real-world scenario,these additional forces would contribute to the deceleration,meaning the friction force required to stop the box in $2 \, s$ would be less than the value calculated solely based on kinetic friction. Therefore,$\mu_k$ must be less than $0.05$.

$A$ small box resting on one edge of the table is struck in such a way that it slides up to the other edge,$1 \, m$ away,after $2 \, s$. The coefficient of kinetic friction between the box and the table

Similar Questions

$A$ block of mass $M = 5\,kg$ is resting on a rough horizontal surface for which the coefficient of friction is $0.2$. When a force $F = 40\,N$ is applied at an angle of $30^\circ$ with the horizontal,the acceleration of the block will be ........ $m/s^2$ $(g = 10\,m/s^2)$.

$A$ cylinder of $10 \, kg$ is sliding on a plane with an initial velocity of $10 \, m/s$. If the coefficient of friction between the surface and the cylinder is $0.5$,then the distance it will cover before stopping is ........ $m$. $(g = 10 \, m/s^2)$

Which one of the following statements is correct?

$A$ 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,the block $B$ will come to rest after a time:

The coefficient of friction between the block of mass ${M_1}$ and the surface is $\mu$. When the system is released,it moves with acceleration. What mass $m$ should be placed on the block ${M_1}$ so that the system moves with a constant velocity?

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