How Does Horizontal Force Affect an Object's Vertical Velocity?

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A 3 kg object with an initial vertical velocity of 7.00 m/s is acted upon by a horizontal force of 12.0 N for 5 seconds. The discussion emphasizes that horizontal and vertical motions are independent, meaning the vertical velocity remains unchanged due to the absence of vertical forces. The correct approach involves using vector notation to calculate the final horizontal velocity and then combining it with the unchanged vertical velocity through vector addition. The initial confusion about the mass and initial velocity was clarified, highlighting the importance of accurate values in calculations. Ultimately, the final velocity must be determined by correctly applying the principles of motion in both directions.
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I have this problem that says a 3 kg object has a velocity of 7.00m/s j (vertical, right?). Then a total of 12.0Ni (horizontal) acts on it for 5 seconds. What is the objects final velocity.

I know that the equation is Ft=mvf-mvi

I could just plug everything in, but what's bothering me is the fat that the mass has an vertical velocity and the force is acting on it horizontally. Am I reading this wrong or is this the case?

If so, how do I go avout finding what I need to plug in.

My work:

Ft=mvf-mvi
(12N)(5s)=(5)(vf)-(5)(7)... then solve for vf, but that seems too easy.
 
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The object is moving in the vertical direction with that velocity, yes and then the force acts on it for 5 seconds. So yeah, that is the case.

You still use \vec{F}t = m(\vec{v_{f}} - \vec{v_{i}})[/tex] and solve for \vec{v_{f}}, but writing the force and inital velocity in terms of vectors and not just their magnitudes.
 
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The motion in the x direction is independent of the motion in the y direction. Since there is no y-directed force, the y-velocity will be unchanged. In you last equation, you should only have x-directed quantities. You substituted the wrong number for mass, and you have the wrong initial velocity.

After you get the final x-velocity, you need to add it to the y-velocity by vector addition.

OOPs- scooped again :smile:
 
ohhh i didn't mean to put in 5 as the mass :)
so i have to find the initial velocity first? it's not just 7 huh...
then find the final V and doo Vector addition,

ok thank you all very much!
 
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