Net Force and Donkey: A Stubborn Encounter

What is the magnitude of the net force exerted on the stubborn donkey?

magnitude of the net force: 156.7 N

What is the direction of the net force?

direction of the net force: 30 degrees to the left of straight ahead

Answer:

The net force exerted on the donkey is approximately 156.7 N, at an angle of 30 degrees to the left of straight ahead.

When three individuals, Jack, Jill, and Jane, pull simultaneously on a stubborn donkey, they exert a net force of approximately 156.7 N on the animal. Despite their varying strengths and directions of pull, the combined effort leads to a significant force being applied to the donkey.

To calculate the net force, we need to consider the forces exerted by each individual in both the horizontal and vertical directions. Jack pulls directly ahead with 93.7 N force, which only has a horizontal component. Jill pulls with 75.3 N at an angle of 45 degrees to the left, contributing to both horizontal and vertical components. Jane pulls with 139 N at an angle of 45 degrees to the right, also having components in both directions.

By summing the horizontal components of all three forces, we find the net force in the horizontal direction. Similarly, by adding the vertical components, we determine the net force in the vertical direction. Utilizing the Pythagorean theorem, we calculate the magnitude of the net force, which amounts to approximately 156.7 N. The direction of this net force is then determined using trigonometry, revealing it to be at an angle of 30 degrees to the left of straight ahead.

This scenario exemplifies the importance of coordinated efforts when dealing with resistant forces. Despite the donkey's stubbornness, the individuals managed to work together effectively to exert a substantial force. Through understanding the components of individual forces and applying principles of physics, they successfully overcame the donkey's resistance.