A 1,200-N crate is being pushed across a level floor at a constant speed by a fo

Question

A 1,200-N crate is being pushed across a level floor at a constant speed by a force V rightarrow of 320 N at an angle of 20.0 degree below the horizontal, as shown in the figure(a) below. What is the coefficient of kinetic friction between the crate and floor? If the 320-N force is inserted pulling the block at an angle of 20.0 degree above the horizontal, as shown in the figure(a), what will be the acceleration of the crate? Assume that the coefficient of friction is the same as that found in part(a).

Explanation / Answer

a) Fy = -1200 - 320sin20=-1309.44N
Fx = 0 = 320cos20 -1309.44

320cos20/1309.44=

=0.23

b)Fy = -1200+320sin20 = 1090.56N

Fx = 320cos20 - 1090.56*0.23=49.87N=m*a=(1200/9.8)*a

a=0.403m/s/s

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