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Imported From IE M inbox (1,032) D RegistrationLogin My Job Chart D Eggplant Parmesan V A-G w D GSuite My Home INTRODUCTORY PHYS... Brandi Muldrow 5. A 5.00kg box is on an inclined plane which is sloped at 5.00° to the horizontal. The box has an initial speed of 7.50m/s and the coefficient of kinetic friction between the box and the incline is 0.165. Use the Law of Conservation of Energy or the Work-Energy Theorem for this problem. Do NOT use Newton's Laws or the Kinematic Equations. a) How far will the box slide if it is sliding up the incline? b) How far will the box slide if it is sliding down the incline?

Explanation / Answer

perpendicular to the incline,

N = mgcos5

friction force, f = uk N = 0.165 x 5 x 9.8 x cos5 = 8.05 N

(A) Applying work- enegrgy theorem,

Work done by gravity + work done by friction = change in KE

- (5 x 9.8 x sin5 x d) - (8.05 d) = 0 - (5 x 7.50^2 / 2)

d = 11.4 m ........Ans

(B) Work done by gravity + work done by friction = change in KE

(5 x 9.8 x sin5 x d) - (8.05 d) = 0 - (5 x 7.50^2 / 2)

d = 37.2 m ........Ans

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