initial Ke = (1/2) m * 5.4^2
energy lost to friction
= 0.1 * m g * 3.50
final ke = initial ke - lost energy
(1/2) m v^2 = (1/2) m * 5.4^2 - 0.1 * m g * 3.50
solve for v
note that the mass cancels
A box of unknown mass is sliding with an initial speed vi = 5.40 m/s across a horizontal friction-less warehouse floor when it encounters a rough section of flooring d = 3.50 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
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