Reading A box of unknown mass is sliding with an initial speed v, 4.00 m/s acros
ID: 1582739 • Letter: R
Question
Reading A box of unknown mass is sliding with an initial speed v, 4.00 m/s across a d - 3.90 m long. The coefficient of kineti the box (in m/s) after sliding across the rough section of flooring. h section of flooring ic friction between the rough section of flooring and the box is 0.100. using energy considerations, determine the final speed of e work energy theorem. Can you use it to determine an expression for the amount the kinetic energy of the box changes while siding across the rough section of flooring in terms of the coefficient of frniction, mass of the box, length of the rough section of flooring, and the gravity? How much work is done, and what is its sign? Why don't we need to know the mass of the box? Additional Materials Notes O Ask Your Teacher 16 7 2 WA 013 A physics student monitors the speed and kinetic energy of a 0.31 kg traveling object. At a time oft1.0s, the object is traveling with a speed of 5.0 m/s and at a time of t 4.0 s, the object has a kinetic energy of 29 J. Determine the following 4x 3/4/2018 pe here to searchExplanation / Answer
The initial kinetic energy of the box is KE = 0.5mv^2 = 0.5m(4)^2 = 8m
The work done by friction = -fd = -umgd = -0.1(m)(9.81)(3.9) = -3.83m (negative because force was in opposite direction of motion)
The initial KE + work done by all forces = final KE
8m – 3.83m = 0.5mv^2
m's cancel
4.17 = 0.5v^2
v = 2.89 m/s
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