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2015-04-14T18:13:30+05:30

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Assuming the force acting as tension in a string;

Force, F = 500N
linear mass density, μ = 0.25 kg/m
v = ?

v= \sqrt{ \frac{F}{\mu } } =\sqrt{ \frac{500}{0.25 } }\ m/s= \sqrt{2000}\ m/s\\ \\ v=20 \sqrt{5}\ m/s  \\ \\ v=44.72\ m/s


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2015-04-14T19:02:24+05:30

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  Force F = 500 Newtons / unit length

   mass / unit length of the system = 0.25 kg / meter = mass/length

   acceleration a = F / m =  500 / 0.25
                = 2,000  m/sec² 
         assuming that the force is acting uniformly along the length of the system.
 
   velocity = u + a t = at  if initial velocity u = 0,  as the system starts from rest.

     v = 2,000 t,                where t = time.

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