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 = 50.0 kg across a carpeted floor with a force F p (the subscript 'p' here is lowercase and throughout the question) of magnitude Fp = 152 N directed at = 35.0 degrees below the horizontal (Figure 1) . The magnitude of the kinetic frictional force between the carpet and the chair is Fk = 98.1 N .

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

a)Fnetx = Fx

Fnetx = Fpx + Fkx

Fnetx = - Fpcos + 0

Fnetx = -152cos30

Fnetx = 131.6 N

b)Fnetx = F

Fnety = Fpy + Fky

Fnety = Fpsin + Fky

Fnety = - 152sin30 -98.1

Fnety = -22.1 N

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