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Q. A block of mass $1\, kg$ slides down a curved track that is one quadrant of a circle of radius $1\, m$. Speed of the block at the bottom is $2\, m / s$. Work done by the frictional force on the block when it reaches at the bottom isPhysics Question Image

ManipalManipal 2016

Solution:

Given, $m =1\, kg$,
$v =2\, m / s$
$R =1\, m$
$W =?$
From energy conservation,
$m g h+ W=\frac{1}{2} m v^{2}$
$=\frac{1}{2} m v^{2}-m g h$
$=\frac{1}{2} \times 1(2)^{2}-1 \times 10=-8\, J$