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About simple vectors

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About simple vectors

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Two people are trying to move a heavy crate. One pushes on the crate wuth a force A, which has a magnitude of 386 newtons(N) and is directed due west. The other pushes with a force B, which has a magnitude of 125N and is directed due north.a) What is the magnitude of the resultant force applied to the... 顯示更多 Two people are trying to move a heavy crate. One pushes on the crate wuth a force A, which has a magnitude of 386 newtons(N) and is directed due west. The other pushes with a force B, which has a magnitude of 125N and is directed due north. a) What is the magnitude of the resultant force applied to the crate? b) What is the direction of the resultant force applied to the crate? c) If the second people applies a force -B instead of B, what is the direction of the resultant force applied to the crate? *In both cases express the dirction as a positive angle relative to due west.

 

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(a) Resultant force = square-root[386^2 + 125^2] N = 405.7 N (b) Let a be the angle with respct to west tan(a) = 125/386 a = 17.94 degrees Hence, the resultant force is 17.94 degrees north of west. (c) The bew applied force B is now 125 N due south The resultant force becomes 17.94 degrees south of west

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