..ooo Verizon 4:45 PM session.masteringphysics.com C Phy 201 Spring 2016 Night T

Question

..ooo Verizon 4:45 PM session.masteringphysics.com C Phy 201 Spring 2016 Night The two foroes F, and F2 shown in act on a 29.0-kg object on a frictionless tabletop, Suppose that F1114 N, and F2 = 17.2 N Part A Determine the magnitude of the net force on the object for the diagram (a) in the figure. Express your answer to three significant figures and include the appropriate units. . Value Units Submit My Answers Give Up Part B Determine the angle between the positive r axis and the net force FRa on the object for the diagram (a), measured counteroockwise. Express your answer using three significant figures. Submit My Answers Give Up Part C Determine the magnitude of the acceleration of the object for the diagram (a). Express your answer to three significant figures and include the appropriate units. Value Units Submit My Answers Give Up Part D Determine the magnitude of the net force on the object for the diagram (b) in the figure. Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

part a )

Fx = -11.4 N

Fy = -17.2 N

|F| = sqrt(Fx^2 + Fy^2)

|F| = sqrt(11.4^2 + 17.2^2)

|F| = 20.6 N

part b )

theta = tan^-1(y/x)

theta = tan^-1(-17.2/11.4)

theta = 56.5 degree = 236 degree from counter clock wise

part c )

a = |F|/m = 0.712 m/s^2

part d )

Fx = F1cos30 = 11.4 * cos30 = 9.87 N

Fy = F2y - F1sin30 = 11.5 N

|F| = sqrt(Fx^2+Fy^2)

|F| = 15.2 N

part e )

theta = tan^-1(Fy/Fx) = 49.4 degree

part f )

a = |F|/m = 0.524 m/s^2

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