A body of weight 64 , N is pushed with just enough force to start… - Vidyadip

MCQ

A body of weight $64\, N$ is pushed with just enough force to start it moving across a horizontal floor and the same force continues to act afterwards. If the coefficients of static and dynamic friction are $0.6$ and $0.4$ respectively, the acceleration of the body will be (Acceleration due to gravity $= g$)

A
$\frac{g}{{6.4}}$
B
$0.64\, g$
C
$\frac{g}{{32}}$
✓
$0.2\, g$

✓

Answer

Correct option: D.

$0.2\, g$

d
(d) Weight of the body $= 64\,N$

so mass of the body $m = 6.4\;kg$, ${\mu _s} = 0.6$, ${\mu _k} = 0.4$

Net acceleration $ = \frac{{{\rm{Applied\, force - Kinetic\, friction}}}}{{{\rm{Mass\, of\, the \,body}}}}$

$ = \frac{{{\mu _s}mg - {\mu _k}mg}}{m} = ({\mu _s} - {\mu _k})g = (0.6 - 0.4)g = 0.2\,g$

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