A $$4$$ kg block is projected with velocity $$7$$ $$m/s$$ up a rough inclined surface having inclination $$45o$$ with horizontal. The block stops after travelling a distance of $$22m$$ along the plane. Then coefficient of kinetic friction between the block and the plane is

Question

A $$4$$ kg block is projected with velocity $$7$$ $$m/s$$ up a rough inclined surface having inclination $$45o$$ with horizontal. The block stops after travelling a distance of $$22m$$ along the plane. Then coefficient of kinetic friction between the block and the plane is

Infinity Learn · Accepted Answer

Resultant force acting on the block, $$Fnet=mgsin$$θ$$+$$μmgcosθ∴ Net work done on the block $$Wnet=F$$→net.S→$$=$$−mgsinθ$$+$$μ$$cos$$θ.S.By work $$-$$ energy theorem, $$Wnet=$$ΔK∴ −mgsinθ$$+$$μ$$cos$$θ$$S=0$$−$$12mV2$$⇒μ$$=V22gscos$$θ−$$tan$$θ$$=722$$×$$10$$×$$22$$×$$cos45o$$−$$tan45o$$⇒μ$$=0.225$$

A 4 kg block is projected with velocity 7 m/s up a rough inclined surface having inclination 45^o with horizontal. The block stops after travelling a distance of $2 \sqrt{2}$ m along the plane. Then coefficient of kinetic friction between the block and the plane is

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A 4 kg block is projected with velocity 7 m/s up a rough inclined surface having inclination 45o with horizontal. The block stops after travelling a distance of 22m along the plane. Then coefficient of kinetic friction between the block and the plane is

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A 4 kg block is projected with velocity 7 m/s up a rough inclined surface having inclination 45^o with horizontal. The block stops after travelling a distance of $2 \sqrt{2}$ m along the plane. Then coefficient of kinetic friction between the block and the plane is