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Projectile at an angle (sum of vectors)

  1. Mar 13, 2012 #1
    If I throw something at a 30° angle with a velocity of 10m/s, the vertical component is 5m/s and the horizontal component is 5√3 m/s, which equals 8.66 approximately.

    Where did the force to get the body those additional 3.66 m/s come from? I mean, I did only input a force to get the object to 10m/s...
     
  2. jcsd
  3. Mar 13, 2012 #2

    mathman

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    The horizontal and vertical components aren't supposed to be added numerically. Use Pythagorean theorem to get the total, which is the 10 you started with.
     
  4. Mar 14, 2012 #3
    that means that throwing a 10kg projectile at a 45° angle with a velocity of 10m/s is equivalent to throwing the same projectile vertically with a velocity of 5√2 and then horizontally with a velocity of 5√2.

    But I clearly have to input more force throwing something twice at (5√2)m/s then throwing that same something once at 10m/s.

    How can those be equivalent?
     
  5. Mar 15, 2012 #4

    mathman

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    Doing it in two steps is different. Extreme example - start it horizontally at 100 m/sec, then reverse it with force to make it stop. You will have exerted lots of force, but the projectile will have stopped moving.
     
  6. Mar 15, 2012 #5
    So in the previous case: Is the sum of the horizontal and vertical vectors equal to the one at a 45° angle as long as we are only concerned with displacement and time?

    Wouldn't it work if we were concerned with velocity or total distance traveled?
     
  7. Mar 16, 2012 #6

    mathman

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    I am not sure what you are asking. However in general terms, any (2 dim.) vector can b resolved into horizontal and vertical components.
     
  8. Mar 20, 2012 #7
    1. Its desirable to have the vertical and horizontal components of a velocity since in this case
    the acceleration to gravity is acting downward. If no gravity involve or gravity in/opposite direction of the velocity then it is useless to resolve it into 2 components.

    2. It is a VECTOR addition. Not a scalar addition. In scalar its NOT true 5+5√3 =10
    But in Vector it is true, 5+5√3=10, a²+b²=c², 25+75=c² =>c=10
     
    Last edited: Mar 20, 2012
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