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4-2.Friction
medium
A block of mass $5\, kg$ is $(i)$ pushed in case $(A)$ and $(ii)$ pulled in case $(B)$, by a force $F = 20\, N$, making an angle of $30^o$ with the horizontal, as shown in the figures. The coefficient of friction between the block and floor is $\mu = 0.2$. The difference between the accelerations of the block, in case $(B)$ and case $(A)$ will be ........ $ms^{-2}$ .$(g = 10\, ms^{-2})$

A
$0.4$
B
$3.2$
C
$0$
D
$0.8$
(JEE MAIN-2019)
Solution

$\begin{array}{l}
{N_1} = 60\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{N_2} = 40\\
{a_1} = \frac{{10\sqrt 3 – 02 \times 60}}{5}\,\,\,\,\,\,\,{a_2} = \frac{{10\sqrt 3 – 0.2 \times 40}}{5}\\
{a_1} – {a_2} = 0.8\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,
\end{array}$
Standard 11
Physics