Question #471de

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Answer 1 · 2017-04-03T19:50:07

$v = 5 \sqrt{5} \frac{m}{s}$ $v=5sqrt 5" "m/s$

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$F_{c} : centripetal force(the blue vector)$ $F_c : "centripetal force(the blue vector)"$

$v : velocity (the red vector)$ $v : "velocity (the red vector)"$

$m : mass of object$ $m :"mass of object "$

$r : radius$ $r :"radius"$

$given :$ $"given :"$

$F_{c} = 250 N$ $F_c=250N$

$m = 4 k g$ $m=4kg$

$r = 2 m$ $r=2m$

$v = ?$ $v=?$

$The centripetal force can be calculated using the fallowing formula.$ $"The centripetal force can be calculated using the fallowing formula."$

$please notice that;$ $"please notice that; "$

$F_{c} = m \cdot \frac{v^{2}}{r}$ $F_c=m *v^2/r$

$250=cancel(4)* v^2/cancel(2)$

$250=2v^2$

$v^2=250/2$

$v^2=125$

$v^2=25*5$

$sqrt (v^2)=sqrt(25*5)$

$v=5sqrt 5" "m/s$