A box is sliding up an incline thatmakes an angle of 18.0° with respect to the h

Question

A box is sliding up an incline thatmakes an angle of 18.0° with respect to the horizontal. Thecoefficient of kinetic friction between the box and the surface ofthe incline is 0.180. The initial speed of the box at the bottom ofthe incline is 1.60 m/s. How far does the box travel along theincline before coming to rest? Thanks!! A box is sliding up an incline thatmakes an angle of 18.0° with respect to the horizontal. Thecoefficient of kinetic friction between the box and the surface ofthe incline is 0.180. The initial speed of the box at the bottom ofthe incline is 1.60 m/s. How far does the box travel along theincline before coming to rest? Thanks!!

Explanation / Answer

Angle = 18 degrees The coefficient of kinetic friction between the box and thesurface of the incline is = 0.180 The initial speed of the box at the bottom of theincline u = 1.60 m/s final speed v = 0 Distance of the box travel along the incline beforecoming to rest S = [ v ^ 2 - u ^ 2 ] / 2 a where a = accleration = - [g sin -g cos]              = - [ 3.028- 1.677 ] m /s ^ 2             = -1.35 m / s ^ 2 plug the values weget S = 0.9479 m

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