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(a) What is the coefficient of kinetic friction between the crate and the floor?

ID: 1286042 • Letter: #

Question

(a) What is the coefficient of kinetic friction between the crate and the floor?
?k =  

(b) If the 200-N force is instead pulling the block at an angle of 20.0 above the horizontal, as shown in the figure (b), what will be the acceleration of the crate? Assume that the coefficient of friction is the same as that found in part (a).
m/s2

A 1,420-N crate is being pushed across a level floor at a constant speed by a force (a) What is the coefficient of kinetic friction between the crate and the floor? ?k = (b) If the 200-N force is instead pulling the block at an angle of 20.0½ above the horizontal, as shown in the figure (b), what will be the acceleration of the crate? Assume that the coefficient of friction is the same as that found in part (a). m/s2 F of 200 N at an angle of 20.0½ below the horizontal, as shown in the figure (a) below.

Explanation / Answer

a)

n = 1420+200sin 20 = 1488.40 N

f = 200 cos 20 = 187.94 N

u = f/n = 1488.4/187.94 = 0.126

b)

n = 1420 - 200sin20 = 1351.6 N

f = 0.126*1351.6 = 170.3 N

m = 1420/9.8 = 144.9 kg

a = (200cos20 - 170.3)/144.9 = 0.1217 m/s^2