While sliding a couch across a floor, Hannah and Andrea exerts forces F⃗HF→H and F⃗AF→A on the couch. Hannah's force is due north with a magnitude of FH = 141 N and Andrea's force is θ = 26° east of north with a magnitude of FA = 241 N. In this problem, use a coordinate system with y directed north and x directed east. 1. Find the net force in the y-direction in Newtons. 2. Calculate the angle in degrees north of east of the net force exerted on the couch by Hannah and Andrea, F⃗HAF→HA. 3. Hannah and Andrea's housemates, David and Stephanie disagree with the move and want to prevent its relocation. Their combined force F⃗DSF→DS must be equal and opposite to that of F⃗HAF→HA. What is the magnitude in Newtons of the force F⃗DSF→DS which will prevent the relocation? 4. Find the net force in the x-direction in Newtons.
While sliding a couch across a floor, Hannah and Andrea exerts forces F⃗HF→H and F⃗AF→A on the couch. Hannah's force is due north with a magnitude of FH = 141 N and Andrea's force is θ = 26° east of north with a magnitude of FA = 241 N. In this problem, use a coordinate system with y directed north and x directed east.
1. Find the net force in the y-direction in Newtons.
2. Calculate the angle in degrees north of east of the net force exerted on the couch by Hannah and Andrea, F⃗HAF→HA.
3. Hannah and Andrea's housemates, David and Stephanie disagree with the move and want to prevent its relocation. Their combined force F⃗DSF→DS must be equal and opposite to that of F⃗HAF→HA. What is the magnitude in Newtons of the force F⃗DSF→DS which will prevent the relocation?
4. Find the net force in the x-direction in Newtons.
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