Use the steps outlined above to find the magnitude of the acceleration a of a ch

Question

Use the steps outlined above to find the magnitude of the acceleration a of a chair and the magnitude of the normal force FN acting on the chair: Yusef pushes a chair of mass m = 55.0kg across a carpeted floor with a force F? p (the subscript 'p' here is lowercase and throughout the question) of magnitude Fp = 140N directed at ? = 35.0degrees below the horizontal (Figure 1) . The magnitude of the kinetic frictional force between the carpet and the chair is Fk = 105N .

A. Use the component form of Newton's second law to write an expression for the x component of the net force, ?Fx.

Express your answer in terms of some or all of the variables: FG, FN, Fp, ?, and Fk .

B. Use the component form of Newton's second law to write an expression for the y component of the net force, ?Fy.

Express your answer in terms of some or all of the variables: FG, FN, Fp, ?, and Fk.

Explanation / Answer

Horizontal component of applied force = (cos 35 x 140) = 114.681N.
Net applied force = (114.681 - 105) =9.681N.
Acceleration = (f/m) = 9.681/55= 0.176m/sec^2.

Fn = (55 x g) + (sin 35 x 140) =619.30N.

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