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Physics-

General

Easy

Question

A wooden block of mass $M$ resting on a rough horizontal floor is pulled with a force $F$ at an angle $ϕ$ with the horizontal. If $mu$ is the coefficient of kinetic friction between the block and the surface, then the acceleration of the block is

$\frac{F}{M} (\cos ϕ - μ \sin ϕ) - μ g$
$\frac{μ F}{M} \cos ϕ$
$\frac{F}{M} (\cos ϕ + μ \sin ϕ) - μ g$
$\frac{F}{M} \sin ϕ$

hint Hint:

T=mg-Tsin0

The correct answer is: $fraction numerator F over denominator M end fraction open parentheses cos invisible function application ϕ plus mu sin invisible function application ϕ close parentheses minus mu g$

$N equals M g minus F sin invisible function application ϕ$
From figure

$a equals fraction numerator F cos invisible function application ϕ minus mu left parenthesis M g minus F sin invisible function application ϕ right parenthesis over denominator M end fraction$

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