A 1,100-N crate is being pushed across a level floor at a constant speed by a fo
ID: 1960473 • Letter: A
Question
A 1,100-N crate is being pushed across a level floor at a constant speed by a force of 290 N at an angle of 20.0° below the horizontal, as shown in the figure (a) below.
(a) What is the coefficient of kinetic friction between the crate and the floor?
(b) If the 290-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).
A 1,100-N crate is being pushed across a level floor at a constant speed by a force of 290 N at an angle of 20.0 below the horizontal, as shown in the figure (a) below. (a) What is the coefficient of kinetic friction between the crate and the floor? (b) If the 290-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).Explanation / Answer
Given weight of the crate = 1100
Hence Mass of the crate m = 1100/9.8 = 112.245 kg
a) Since it is moving with a constant velocity, net force acting on the block is zero
Fnet = 290cos 20 - *(290sin20 + 1100)
---> = 290cos 20/(290sin20 + 1100) = 0.227
b) Net force acting on the block = 290cos 20 - 0.227*(1100 - 290sin20) = 45.08 N
Acceleration of the block = F/m = 45.08/112.245 = 0.4 m/s2
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