Question

In: Physics

A husband and wife take turns pulling their child in a wagon along a horizontal sidewalk....

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 71 N. What is the magnitude of the pulling force exerted by his wife?

Solutions

Expert Solution

Given:

Force applied by the husband,

The direction of husband's force,

The direction of wife's force,

Find the force applied by the wife.

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Given that the husband and wife do the same amount of work pulling their child in the wagon.

Workdone, , where is the applied force, is the displacement and is the angle between force and displacement.

So

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Given that both husband and wife pull the wagon through the same displacement.

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Cancel displacement

ANSWER:

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