While sliding a couch across a floor, Hannah and Andrea exert forces F⃗ HF→H and F⃗ AF→A on the couch. Hannah's force is due north with a magnitude of FHFH = 65 N and Andrea's force is θθ = 28° east of north with a magnitude of FAFA = 247 N. In this problem, use a coordinate system with positive y directed north and positive x directed east. net force in the y direction:283 net force in the x direction:116 (a) Calculate the angle in degrees north of east of the net force exerted on the couch by Hannah and Andrea. (b) Hannah and Andrea's housemates, David and Stephanie, disagree with the move and want to prevent the relocation. Their combined force FDS must be equal and opposite to that of FHA. What is the magnitude in newtons of the force FDS that will prevent the relocation?
While sliding a couch across a floor, Hannah and Andrea exert forces F⃗ HF→H and F⃗ AF→A on the couch. Hannah's force is due north with a magnitude of FHFH = 65 N and Andrea's force is θθ = 28° east of north with a magnitude of FAFA = 247 N. In this problem, use a coordinate system with positive y directed north and positive x directed east.
net force in the y direction:283
net force in the x direction:116
(a) Calculate the angle in degrees north of east of the net force exerted on the couch by Hannah and Andrea.
(b) Hannah and Andrea's housemates, David and Stephanie, disagree with the move and want to prevent the relocation. Their combined force FDS must be equal and opposite to that of FHA. What is the magnitude in newtons of the force FDS that will prevent the relocation?
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