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A body moving on the surface of the eart...

A body moving on the surface of the earth at 14 `"m.s"^(-1)` comes to rest due to friction after covering 50 m. Find the coefficient of friction between the body and the earth's surface. Given, acceleration due to gravity = 9.8 `"m.s"^(-2)`.

Text Solution

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Initial velocity, u = 14 `"m.s"^(-1)`, final velocity, v = 0, displacement , s = 50 m and mass of the body = m. If retardation is a then using the formula `v^(2) = u^(2) - 2` as,
a `= (u^(2))/(2s) = (14xx14)/(2xx50) = 1.96 "m.s"^(-2)`
`:.` Kinetic friction `f_(k)` = ma = 1.96 mN and normal force, R = mg = 9.8m N
`:.` Coefficient of friction,
`mu = (f_(k))/(R) = (1.96m)/(9.8 m)` =0.2.
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