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A pull toy's string is pulled at some angle with a horizontal force of 2.5 N and a vertical force of 1.3 N. What is the angle that the string is being pulled at?

User Jeongbebs
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Final answer:

The angle at which the pull toy's string is being pulled is approximately 27.38 degrees, determined by taking the arctangent of the ratio of the vertical force to the horizontal force.

Step-by-step explanation:

To determine the angle at which a pull toy's string is being pulled, given a horizontal force of 2.5 N and a vertical force of 1.3 N, we can use trigonometry. The angle θ can be found by taking the arctangent (tan⁻¹) of the ratio of the vertical force to the horizontal force. This is because the tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side.

θ = tan⁻¹(¹.3 N / 2.5 N)

By calculating this, we find that θ is approximately 27.38 degrees. This is the angle formed between the horizontal axis and the string of the pull toy.

It's important to note that we consider only the magnitudes of the horizontal and vertical components when applying trigonometric functions, which reflect the ratio of forces rather than their vectorial directions.

User Newhouse
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