Question

Force of 5 root 2n and 6 root 2n are acting on a mass of 1000kg at an angle of 60 degree to each other. find the acceleration produced in the mass

Answer 1

$f1 = 5 \sqrt{2} \: n$
$f2 = 6 \sqrt{2} \: n \:$
$m = 1000kg$
$theta = 60$

$fnet = \sqrt{f1 {}^{2} + f2 {}^{2} + 2f1f2cos \: theta}$


$= \sqrt{(5 \sqrt{2} ) {}^{2} + (6 \sqrt{2}) {}^{2} + 2(5 \sqrt{2} ) (6 \sqrt{2})cos \: 60 }$



$\sqrt{50 + 72 + 60}$


$fnet = \sqrt{182} \: n$


$now \: \: f = ma$

$a \: = f \div m$


$a \: = \sqrt{182} \div 1000$


$thanks$