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Three forces, x, y and z act on a body - OCR Gateway - GCSE Physics - Question 7 - 2019 - Paper 3

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Question 7

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Three forces, x, y and z act on a body. The body is in equilibrium. Which vector diagram shows the body in equilibrium?

Worked Solution & Example Answer:Three forces, x, y and z act on a body - OCR Gateway - GCSE Physics - Question 7 - 2019 - Paper 3

Step 1

Identify the condition for equilibrium

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Answer

For a body to be in equilibrium, the vector sum of all the forces acting on it must equal zero. This means that the forces must form a closed vector triangle.

Step 2

Analyze the given vector diagrams A, B, C, and D

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Answer

The diagrams represent different arrangements of the forces x, y, and z. We need to identify which one forms a closed triangle.

  • Diagram A: The vectors appear connected in a way that suggests closure, as they form a triangle.
  • Diagram B: It shows forces in a line, not forming a triangle.
  • Diagram C: The vectors also appear as a straight line, similar to B.
  • Diagram D: Like B, it does not depict a closed triangle.

From these analyses, Diagram A is the only vector diagram that shows the body in equilibrium.

Step 3

Conclusion

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Answer

Therefore, the correct answer is Diagram A, as it satisfies the condition for equilibrium by forming a closed triangle with the vectors.

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