Question #181430

A body of mass 25kg, moving at 3m/s on a rough horizontal floor is brought to rest after sliding through a distance of 2.5m on the floor. What is the coefficient of sliding friction (g=10)


1
Expert's answer
2021-04-15T20:41:00-0400

Answer

Using v=u+at

a = 3t\frac{3}{t}

Using s=ut+0.5at20.5at^2

d=0.5at2d = 0.5a t^2

2.5=0.5×3tt22.5 =0 .5\times\frac{ 3}{t}t^2

2.5 = 1.5 t

t = 1.67 seconds to stop

thena=3t=1.8m/s2a = \frac{3}{t }= 1.8 m/s^2

F = ma

F = 25 ×\times 1.8 = 45 N

weight = 25g = 250N


coef of friction =Fweight=45250=0.18=\frac{ F}{weight} = \frac{45}{250} = 0.18


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