12. + 10 points oscoIPhysl 7.P007.Tutorial.WA My Notes Ask Your Teacher A box of

Question

12. + 10 points oscoIPhysl 7.P007.Tutorial.WA My Notes Ask Your Teacher A box of unknown mass is sliding with an initial speed vi = 4.20 m/s across a horizontal frictionless warehouse floor when it encounters a rough section of flooring d = 2.60 m long. The coefficient of kinetic friction between the rough section of flooring and the box is 0.100. Using energy considerations, determine the final speed of the box after sliding across the rough section of flooring m/s Tutorial Supporting Materials Physical Constants

Explanation / Answer

fk = uk m g  

Applying work - energy theorem,

Work done by friction = change in KE

- fk d = m (vf^2 - vi^2 )/ 2

- 2 uk g d = vf^2 - vi^2

- 2 x 0.10 x 9.8 x 2.60 = v^2 - 4.20^2

v = 3.54 m/s

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