Solving Object's Motion with Constant Forces

AI Thread Summary
An object with a mass of 4.0 kg is initially moving north at 4.8 m/s but is acted upon by opposing forces of 6.5 N and 9.5 N, resulting in a net force of 3.0 N southward. The discussion focuses on calculating how far the object will travel before coming to rest and its position 2.5 seconds after that moment. The user expresses confusion about which equations to use, specifically mentioning the kinematic equation x = VoT + 1/2aT^2 and questioning its applicability due to the lack of time in part (a). Clarification is sought on how to approach the problem and apply the correct physics principles. Understanding the net force and its impact on motion is crucial for solving the problem effectively.
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Homework Statement



An object with a mass of 4.0 kg travels with a constant velocity of 4.8 m/s northward. It is then acted on by a force of 6.5 N in the direction of motion and a force of 9.5 N to the south, both of which continue even after the mass comes momentarily to rest.

(a) How far will the object travel before coming to rest?


(b) What will be its position 2.5 s after the object comes momentarily to rest?


Homework Equations





The Attempt at a Solution


I have 4.0 Kg traveling in one direction and a 3.0 N force (9.5N-6.5N=3.0N) being applied in the other direction. Soon the car will come to a stop and start to accelerate in the forward direction. Plug in the initial conditions of 4.0Kg traveling North at 4.8 m/s being acted upon by a constant 3.0N (Kg/ms^2) south force. (North is usually up and is positive; so a Southern acting force is negative).

I like to reword the question so its relevant to me, but we just started this stuff and i need some help with the equations that i will need to use.
 
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please i have no idea where to start and what equation to use!
 
ok i tried using x=VoXT + 1/2axt^2 but i don't think it applies because there is no time involved in part a
 
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