assume no air resistance or friction unless stated otherwise, and that the accel

Question

assume no air resistance or friction unless stated otherwise, and that the acceleration due to gravity is 9.81 m/s^2
a 1.20kg block, initially moving at 4.5 m/s, slides to a stop on a horizontal surface with a coefficient of kinetic friction of 0.38. how far does the block slide before stopping? assume no air resistance or friction unless stated otherwise, and that the acceleration due to gravity is 9.81 m/s^2
a 1.20kg block, initially moving at 4.5 m/s, slides to a stop on a horizontal surface with a coefficient of kinetic friction of 0.38. how far does the block slide before stopping?
a 1.20kg block, initially moving at 4.5 m/s, slides to a stop on a horizontal surface with a coefficient of kinetic friction of 0.38. how far does the block slide before stopping?

Explanation / Answer

given
m = 1.2 kg
u = 4.5 m/s
coeficient of friciton k = 0.38
hence sliding distance = d
from energy balance
friction = k*m*g
hence
initial KE = energy lost to friciotn
0.5mu^2 = k*m*g*d
hence
d = 0.5mu^2/kmg = u^2/2kg
d = 2.716079 m

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