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Two workers are trying to move a heavy crate. One pushes on the crate with a for

ID: 2231850 • Letter: T

Question

Two workers are trying to move a heavy crate. One pushes on the crate with a force , which has a magnitude of 485 newtons and is directed due west. The other pushes with a force , which has a magnitude of 330 newtons and is directed due north. (a) What are the magnitude and direction of the resultant force + applied to the crate? (Express the direction relative to due west.(b) Suppose that the second worker applies a force - instead of . What then are the magnitude and direction of the resultant force - applied to the crate?

Explanation / Answer

Fx=485i, Fy= 330j, Fr = sq(485^2 +330^2) =586.621683882 N, direction theta = arctan( 330/485) =34.231855439, 2nd part Fx= 485 i, Fy= -330j, Fr= 586.62, theta= -34.231855439 = 180-34.23