Mathematical methods of vector addition

Mathematical methods to calculate vector addition and net force

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QUESTION OF
Views #: 760
Questions #: 3
Time: 5 minutes
Pass Score: 80.0%
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Given the below figure the net force is 220 lb, what are the mathematical steps to get the net force?

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Cars collision

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Correct Answer

Explanation

Flying airplane

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Consider an airplane flying in still air at a velocity of 150 miles per hour northward.  In part 1 of the figure below, a 3-cm arrow represents this velocity.  Now a wind starts blowing toward the south east at a speed of 50 mi/hr-quite a wind!  The second part of the figure shows this 50-mi/hr wind.  In part 3, one arrow is moved so that its tail falls on the head of the other.  Assume that the angle between the two lines is 900

Please find the results of the below statements

  1. 1 cm = (1)lb
  2. The length of the wind vector in drawing (cm) = (2)
  3. Approximated net force in  (lb) = (3)
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Explanation

Balloon dropping a sandbag (projectile motion)

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A balloon is high enough that the sandbag hits the ground 2 seconds after it is released.  At that time the forward speed of the sandbag is still 12 m/s.  Its downward speed is now 19.6 m/s.

This drawing uses a scale of (1)cm to represent (2)m/s.  The arrow that shows the total is (3)cm long, so the total velocity is (4)m/s.

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Year 10