A block of weight $1 \,N$ rests on an inclined plane of inclination $\theta$ with the horizontal. The coefficient of friction is $\mu$ The minimum force that has to be applied parallel to the inclined plane to make the body just move up the plane is
A$\mu \sin \theta$
B$\mu \cos \theta$
C$\mu \cos \theta-\sin \theta$
D$\mu \cos \theta+\sin \theta$
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D$\mu \cos \theta+\sin \theta$
d (d)
Given $m g=1 \,N$
To just move the body up
$F=\text { friction force }+\text { gravitation force }$
$=\mu m g \cos \theta+m g \sin \theta$
$=\mu \cos \theta+\sin \theta$
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A $2\,kg$ block slides on a horizontal floor with a speed of $4\, m/s$. It strikes a uncompressed spring, and compresses it till the block is motionless. The kinetic friction force is $110\,N$ and spring constant is $1000\, N/m$. The spring compresses by ........ $cm$
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