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A rope is being pulled with 20N at a 30-degree angle to the ground. Determine the x-component of this force.

A. 10N
B. 17.32N
C. 20N
D. 30N
E. Not enough information provided

User Firemaples
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1 Answer

5 votes

Final answer:

The x-component of a 20N force pulled at a 30-degree angle to the ground is approximately 17.32N, calculated using the cosine of the angle.

Step-by-step explanation:

The student has asked to determine the x-component of a force where a rope is being pulled with 20N at a 30-degree angle to the ground. To find the x-component of the force, we use the cosine function since the x-component is adjacent to the angle of force. The formula we use is: Fx = F * cos(θ), where F is the force and θ is the angle. Plugging in the values, we get Fx = 20N * cos(30°). Calculating this gives Fx = 20N * (√3 / 2) or Fx ≈ 17.32N. Therefore, the correct answer is B. 17.32N.

User Alihaydar Gubatov
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