A force P of magnitude 80 N is used to push a 5.0 kg block across the ceiling of

Question

A force P of magnitude 80 N is used to push a 5.0 kg block across the ceiling of a room as shown below. If the coefficient of friction between the block and surface is 0.40, what is the acceleration of the block? a. Include a force diagram of the forces acting on the block. Include the correct symbols for the type of force and subscripts for the object the force is on and where the force is from. b. Write out the equations for Newton's 2^nd Law that are pertinent to the problem: sigmaF_x = max_x epsilon/or sigmaF_y = ma_y.

Explanation / Answer

Fy = 0

P sin 70° - N - m g = 0

N = P sin 70° - m g


Fx = m a

P cos 70° - N = m a

P cos 70° - ( P sin 70° - m g) = m a

80 cos 70° - 0.4 ( 80 sin 70° - 5*9.8) = 5*a

a = 3.37 m/s²

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