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Answer :
Final answer:
To find the single force equivalent to the two forces, use vector addition by breaking down each force into its x and y components. To find the force needed to make the resultant force zero, set up equations by considering the sum of x-components and y-components of the forces.
Explanation:
To find the single force that is equivalent to the two forces, we can use vector addition. We can break down each force into its x and y components, and then add the corresponding components. The x-component of the resultant force, Fx, is found by adding the x-components of the individual forces. The y-component of the resultant force, Fy, is found by adding the y-components of the individual forces. The magnitude of the resultant force, F, can be found using the Pythagorean theorem. Finally, the direction (angle) of the resultant force can be found using trigonometry.
To find the force that a third person would have to exert on the mule to make the resultant force equal to zero, we can set up an equation. Since the resultant force is zero, the sum of the x-components and the sum of the y-components of the forces applied by the two people must be zero. We can solve these equations to find the magnitude and direction of the third force.
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