I'm having trouble with the following problem:
A husband and wife take turns pulling their child in a wagon along a horizontal sidewalk. Each exerts a constant force and pulls the wagon through the same displacement. They do the same amount of work, but the husband's pulling force is directed 58˚ above the horizontal, and the wife's pulling force is directed 38˚ above the horizontal. The husband pulls with a force whose magnitude is 59 N. What is the magnitude of the pulling force exerted by his wife?
I'm not sure how to solve for this since I don't have the displacement. I'm not asking anyone to solve it for me, but just give me a hint on how to solve this problem!
Any help will be appreciated. Thanks!
A husband and wife take turns pulling their child in a wagon along a horizontal sidewalk. Each exerts a constant force and pulls the wagon through the same displacement. They do the same amount of work, but the husband's pulling force is directed 58˚ above the horizontal, and the wife's pulling force is directed 38˚ above the horizontal. The husband pulls with a force whose magnitude is 59 N. What is the magnitude of the pulling force exerted by his wife?
I'm not sure how to solve for this since I don't have the displacement. I'm not asking anyone to solve it for me, but just give me a hint on how to solve this problem!
Any help will be appreciated. Thanks!
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Assign a variable to the displacement the wife's force. Use the force times distance equation, modified by the cosine of the angle for each of the wife and husband. Set the two equations equal to each other and do the algebra to solve for the wife's force.