Magnitude of the pulling force

In summary, a husband and wife are pulling their child in a wagon along a horizontal sidewalk with constant forces. The husband's pulling force is directed 58° above the horizontal and has a magnitude of 66 N. The wife's pulling force is directed 34° above the horizontal and the magnitude can be found by setting their work equations equal to each other and solving. The magnitude of the wife's pulling force is 66 * cos(58)/cos(34).
  • #1
brittany8258
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Homework Statement



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, while the wife's pulling force is directed 34° above the horizontal. The husband pills with a force whose magnitude is 66 N. What is the magnitude of the pulling force exerted by his wife?


Homework Equations





The Attempt at a Solution

 
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Any ideas on how to do this before we help?
 
  • #3
w = f * d (vectors)

w of man = 66 * cos(58) * D

w of woman = force * cos(34) * D

w of woman = w of man

66 * cos(58) * D = FORCE * cos(34) * D

the distances cancel out and you are left with

66 * cos(58)/cos(34) = answer
 

1. What is the magnitude of the pulling force?

The magnitude of the pulling force refers to the strength or intensity of the force being exerted in a specific direction. It is typically measured in newtons (N) or pounds (lbs) and can vary depending on the object being pulled and the amount of force applied.

2. How is the magnitude of the pulling force calculated?

The magnitude of the pulling force is calculated by multiplying the mass of the object being pulled by its acceleration. This is known as Newton's Second Law of Motion (F=ma), which states that the force applied to an object is directly proportional to its mass and acceleration.

3. What factors can affect the magnitude of the pulling force?

Several factors can affect the magnitude of the pulling force, including the mass of the object being pulled, the surface friction between the object and the surface it is being pulled on, and the amount of force being applied. The direction and angle of the force can also impact the magnitude of the force.

4. How does the magnitude of the pulling force impact the movement of an object?

The magnitude of the pulling force directly influences the acceleration and movement of an object. The greater the magnitude of the force, the greater the acceleration and the faster the object will move. The direction of the force also plays a role in the object's movement.

5. Can the magnitude of the pulling force be negative?

Yes, the magnitude of the pulling force can be negative. This indicates that the force is acting in the opposite direction of the object's motion. For example, if an object is moving to the right with a force of 10N, a force of -5N applied in the opposite direction would result in a net force of 5N to the right.

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