# a block of mass 4 kg is resting on a rough horizontal plane and is about to move when a horizontal force of 30 N is applied on it. if g = 10 m/s^2 find the total contact force exerted by the plane on the block

$F=30N\phantom{\rule{0ex}{0ex}}m=4kg\phantom{\rule{0ex}{0ex}}soF=ma\phantom{\rule{0ex}{0ex}}a=\frac{F}{m}=\frac{30}{4}=7.5m/{s}^{2}\phantom{\rule{0ex}{0ex}}\mu =\frac{a}{g}=\frac{7.5}{10}=\frac{3}{4}\phantom{\rule{0ex}{0ex}}Contactforce=Frictionalforce=\mu mg\phantom{\rule{0ex}{0ex}}F=\frac{3}{4}\times 4\times 10=30N\phantom{\rule{0ex}{0ex}}Contactforce=30N$

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