SOLUTION: A box is given a push so that it slides across the floor. Given that the coefficient of kinetic friction is 0.15 and the push imparts an initial speed of 3.5 m/s. Determine how far

Algebra ->  Test -> SOLUTION: A box is given a push so that it slides across the floor. Given that the coefficient of kinetic friction is 0.15 and the push imparts an initial speed of 3.5 m/s. Determine how far      Log On


   

Question 1161490: A box is given a push so that it slides across the floor. Given that the coefficient of kinetic friction is 0.15 and the push imparts an initial speed of 3.5 m/s. Determine how far it will go.
Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
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The law of energy conservation says that the initial kinetic energy is equal to the work of the friction  force


    %28mv%5E2%29%2F2 = k*m*g*x


Cancel the common factor "m" (the mass) in both sides. Then substitute the given data and find the the length x 
"how far it will go".

    3.5%5E2%2F2 = 0.15*9.81*x

    x = 3.5%5E2%2F%282%2A0.15%2A9.81%29 = 4.16 meters.    ANSWER

Solved.