(a) Two workers are trying to move a heavy crate. One pushes the crate with a fo
ID: 1700852 • Letter: #
Question
(a) Two workers are trying to move a heavy crate. One pushes the crate with a force A, which has a magnitude of 445 newtons and is directed due west. The other pushes with a force B, which has a magnitude of 325 newtons and is directed due north. What are the magnitude and direction of the resultant force A + B applied to the crate. (b) Suppose that the second worker applies a force -B instead of B. What then are the magnitude and direction of the resultant force A - B applied to the crate. In both cases express the direction relative to due west.Explanation / Answer
Given
F1 = -445 N i , F2 = 325 N j
a)Resultant fore F = - 445 N i + 325 j
Magnitude of resultant force F = (445)^2 +(325)^2 = 551 N
Direction, = tan^-1(325/-445) = 143.85^0
b)If F1 = -445 N i , F2 =-325 N j
Resultant fore F = - 445 N i - 325 j
Magnitude of resultant force F = (445)^2 +(325)^2 = 551 N
Direction, = tan^-1(-325/-445) = 36.14^0
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