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A box is given a push so that it slides across the floor.

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A box is given a push so that it slides across the floor. How far will it go, given that the coefficient of kinetic friction is 0.36 and the push imparts an initial speed of 5.85 m/s? (Use g=10 m/s^2)
asked Oct 23, 2018 in PHYSICS by anonymous

1 Answer

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The frictional force = coefficient * normal force =μN
N = mass * gravitational acceleration =mg
Ff = coefficient * mass * gravity.
Ff = μmg
-ma =μmg
a =μg =-0.36*9.81 =-3.532 m/s^2
v^2 -u^2 =2as
0-5.85^2 =2(-3.532)s
7.0632s = 34.22
s =4.84 m
answered Oct 23, 2018 by lilly Expert

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