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A crate full of tosters slides down a plam to a loading dock in a warehouse. At the top of the plank the box is given a push so its initial speed is .25m/s. By the time it hits the bottom of the plank, it has a speed of 1.5m/s. The plank is 5.5m long and is set at an angle of 28 degrees. Find the coefficient of friction between the plank and the crate...here's the order of things you need to find out

a) Find the rate of acceleration of the crate.

b) Find the net force on the crate.

c) Find the forece of friction on the crate.

d) Find the coefficient of friction between the plank and the crate.

I was able to calculate the acceleration and got .11 m/s squared.

V_f=1.5m/s

V_o=.25

a=?

d=5.5m

V_f^2=V_o^2 + 2ad

a=V_f^2-V_o^2/2d

Do i use mgcos(theta) and mgsin(theta) to get the perpindicular and paralel components of weight?

If i could figure out how to get F_n i can solve the rest im just at a block which i think is farely simple im just missing some simple thing. Any help would be excellant.

-Steve

EDIT:

I did draw a free body diagram with all the forces: F_N, F_f, w, perpindicular component of weight, and the paralel component of weight

a) Find the rate of acceleration of the crate.

b) Find the net force on the crate.

c) Find the forece of friction on the crate.

d) Find the coefficient of friction between the plank and the crate.

I was able to calculate the acceleration and got .11 m/s squared.

V_f=1.5m/s

V_o=.25

a=?

d=5.5m

V_f^2=V_o^2 + 2ad

a=V_f^2-V_o^2/2d

Do i use mgcos(theta) and mgsin(theta) to get the perpindicular and paralel components of weight?

If i could figure out how to get F_n i can solve the rest im just at a block which i think is farely simple im just missing some simple thing. Any help would be excellant.

-Steve

EDIT:

I did draw a free body diagram with all the forces: F_N, F_f, w, perpindicular component of weight, and the paralel component of weight

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