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ACT Exam  >  ACT Questions  >  A force is inclined at 60° to the horizon... Start Learning for Free
A force is inclined at 60° to the horizontal. If its rectangular component in horizontal direction is 50 N. Find the magnitude of the force and its vertical components respectively.
  • a)
    100 N, 50 N
  • b)
    50√3 N, 100 N
  • c)
    100 N, 50√3 N
  • d)
    100 N, 100 N
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A force is inclined at 60° to the horizontal. If its rectangular c...
Concept:
Resolution of vectors into components: We have a vector (F) where the magnitude of the vector is F and the angle with horizontal is θ.
The vector has two components: 1. Vertical component and 2. Horizontal component
Vertical component (Fy) = F Sinθ
Horizontal component (Fx) = F Cosθ 
Calculation:
Given that:
Fx = 50N , θ = 60°
Fx = Fcosθ

Fy = Fsinθ
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Most Upvoted Answer
A force is inclined at 60° to the horizontal. If its rectangular c...
Degrees to the horizontal. This means that the force vector makes a 60 degree angle with the horizontal axis. In other words, the force is not acting directly vertical or horizontal, but at an angle of 60 degrees from the horizontal.
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A physicist performs a series of experiments to determine the relative magnitude of electric charge on four particles. A given particle is considered to have a higher magnitude of charge than another if it will push out (or draw in) a positive test charge farther than the other particle.A particle that pushes the test charge has positive charge, while a particle that pulls (or draws in) the test charge has negative charge. This is known as the sign of the charge. Magnitude of charge is unrelated to sign.The experiment is conducted on a horizontal axis that measures from 20m in total: from –10m on the left to +10m on the right, with a measurement of 0m in the middle.Experiment 1Particle A is placed at position –5m on the horizontal axis. The test charge has a specific magnitude of charge and is located at +3m on that same axis. The result of the experiment is that the test charge is displaced to +7.5m.Experiment 2Particle B is placed at position –8m on the horizontal axis. The test charge has the same magnitude of charge as the previous experiment and is located at 0m on that same axis. The result of the experiment is that the test charge is displaced to –7.5m.Experiment 3Particle C is placed at position 0m on the horizontal axis. The test charge has the same magnitude of charge as the previous experiment and is located at +8m on that same axis. The result of the experiment is that the test charge is displaced to +10m.Experiment 4Particle D is placed at position –5.5m on the horizontal axis. The test charge has the same magnitude of charge as the previous experiment and is located at +2.5m on that same axis. The result of the experiment is that the test charge is displaced to +7.5m.Q. Which of the particles is negatively charged?

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A force is inclined at 60° to the horizontal. If its rectangular component in horizontal direction is 50 N. Find the magnitude of the force and its vertical components respectively.a)100 N, 50 Nb)50√3 N, 100 Nc)100 N, 50√3 Nd)100 N, 100 NCorrect answer is option 'B'. Can you explain this answer?
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A force is inclined at 60° to the horizontal. If its rectangular component in horizontal direction is 50 N. Find the magnitude of the force and its vertical components respectively.a)100 N, 50 Nb)50√3 N, 100 Nc)100 N, 50√3 Nd)100 N, 100 NCorrect answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about A force is inclined at 60° to the horizontal. If its rectangular component in horizontal direction is 50 N. Find the magnitude of the force and its vertical components respectively.a)100 N, 50 Nb)50√3 N, 100 Nc)100 N, 50√3 Nd)100 N, 100 NCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A force is inclined at 60° to the horizontal. If its rectangular component in horizontal direction is 50 N. Find the magnitude of the force and its vertical components respectively.a)100 N, 50 Nb)50√3 N, 100 Nc)100 N, 50√3 Nd)100 N, 100 NCorrect answer is option 'B'. Can you explain this answer?.
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