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A long stick rests on the surface a per...

A long stick rests on the surface a person standing 10 m away the stick with what minimum speed an object of masss 0.5 kg should he throuwn so that it hits the stick (Assume the coefficient of kinetic friction is 0.7 )

Text Solution

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Given: Distance (s) = 10 m
Mass of the object (m) = 0.5 kg
Coefficient of kinetic friction (`mu`) = 0.7
Work done in moving a body in horizontal surface `omega = mu_R xx s = mu mg xx s `
This work done is equal to initial kinetic energy of the object
`1/2 mv^2 = mu mg s `
`|v^2| = 2mug r s = 2 xx 0.7 xx 9.8 xx 10`
`v^2 = 14 xx 9.8 = 137.2`
` v = 11.71 ms^(-1)`
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