Monday, September 5, 2022

9702_s22_qp_11 Question 4

Two cables are attached to a bracket and exert forces as shown. 


What are the magnitudes of the horizontal and vertical components of the resultant of the two forces?


ANSWER: C

The Physics Behind 

  • Trigonometry i.e. sine and cosine functions are needed.
  • For the 15.0 N,
    • x-component is 15.0 cos(20.0°)
    • y-component is 15.0 sin(20.0°)
  • For the 6.00 N,
    • x-component is 6.00 sin(40.0°)
    • y-component is 6.00 cos(40.0°)
  • The magnitude of the components of the resultant force can be determined by vector adding the corresponding components of each given force.
  • The answer, therefore, is C.






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