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Laws of Motion

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Question : 5 of 40
Marks: +1, -0
A constant retarding force of 50 N is applied to a body of mass 20 kg moving initially with a speed of 15 m s−1^{-1}. How long does the body take to stop?
Solution:  
Here, M=20 kg;M = 20\ \mathrm{kg};
F=−50 NF = -50\ \mathrm{N} (retarding force)
Now, F=MaF = M a
∴ a=FM\therefore\ a = \frac{F}{M}
=−5020=−2.5 ms−2= \frac{-50}{20} = -2.5\ \mathrm{ms}^{-2}
Also, v=u+atv = u + a t
Here, u=15 m s−1; v=0u = 15\ \mathrm{m}\ \mathrm{s}^{-1};\ v = 0
∴ 0=15+(−2.5)t\therefore\ 0 = 15 + (-2.5) t
or t=6 st = 6\ \mathrm{s}
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