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a worker pushed a 26 kg block a distance of 9.5 m along a level floor at a const

ID: 1418614 • Letter: A

Question

a worker pushed a 26 kg block a distance of 9.5 m along a level floor at a constant speed with a force directed 32 below the horizontal. the coefficient of friction is .21. find the magnitude and the force exerted on workers. a worker pushed a 26 kg block a distance of 9.5 m along a level floor at a constant speed with a force directed 32 below the horizontal. the coefficient of friction is .21. find the magnitude and the force exerted on workers. a worker pushed a 26 kg block a distance of 9.5 m along a level floor at a constant speed with a force directed 32 below the horizontal. the coefficient of friction is .21. find the magnitude and the force exerted on workers.

Explanation / Answer

using force balance in y-direction:

total Fy = 0 = N - mg - F*sin A

N = mg + F*sin A

in x-direction

total Fx = 0 = F*cos A - us*N

F*cos A = us*N

F*cos A = us(mg + F*sin A)

F = us*m*g/(cos A - us*sin A)

F = 0.21*26*9.81/(cos 32 deg - 0.21*sin 32 deg)

F = 72.7 N