What Is the Resultant Force When Two People Pull on Ropes Attached to an Object?

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When two people pull on ropes attached to a heavy object with equal force, the resultant force depends on the direction of their pulls. If both pull in the same direction, the total resultant force is 2000N. If they pull in opposite directions, the resultant force is 0N. For pulls at right angles to each other, vector geometry, specifically the Pythagorean theorem, is used to calculate the resultant force. The forces' components will cancel in one direction while adding in the perpendicular direction, resulting in a force of approximately 1414N.
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two ropes are attatched to a heavy object. the ropes are given to two strong people with instructions for each to pull with 1000N of force. what is the total resultant force if the two women pull..

in the same direction_________F=2000N

in opposite direction__________F=0N

at right angles to each other?_______F=?


did i do the first two right?
what would i do for the right angles?
 
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Yes, first two parts look right. Use vector geometry for the third part... ie pythagorean theorem.
 
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The last one I assume that one is looking down from the top and the ropes are making an angle of ninety degrees with each other. Let's say the ropes are pointing from the heavy object "upwards" (on paper). If one resolve the two 1000 N forces into x- and y-components the x-components will cancel each other out and the y-components will add up.
 
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