For multiple choice questions, circle the one best answer or letter (unless more
ID: 1539955 • Letter: F
Question
For multiple choice questions, circle the one best answer or letter (unless more than one answer is asked for). Show your work on free-response questions. Be sure to use proper units and significant figures in your final answers. Organization and neatness count, too. Do NOT use red ink - please reserve that color for grading. Suppose that two workers simultaneously push on a heavy 325-kg crate with forces F_A (magnitude 750. N) and F_B (magnitude 500. N). at directions as shown in the diagram. Assume that both of these forces remain constant as the crate moves. The floor is exactly horizontal (level). You may wish to solve parts (a) & (h) simultaneously: If the crate starts out with zero friction between with crate and the floor, find the magnitude and direction of the resulting acceleration of the crate. Show your work. Find the magnitude of the normal force from the floor. Show your work.Explanation / Answer
From figure it is clear that the horizontal component of force causes the motion so
the net horizontal force is
FA * cos(20) - FB * cos(35) = m * a
(750 * cos(20)) - (500 * cos(35)) = 325 * a
a = 0.9 m/s^2-------------------------------------------Answer
b)
the vertical components of FA and FB are down ward direction so
the normal force is
FN = (FA * sin(20)) + ( FB * sin(35)) + ( m * g)
FN = (750 * sin(20)) + ( 500 * sin(35)) + ( 325 * 9.8)
FN = 3728.3 N-----------------------------Answer
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