Solving Object's Motion with Constant Forces

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SUMMARY

The discussion focuses on solving the motion of a 4.0 kg object initially traveling at 4.8 m/s northward, subjected to a net force of 3.0 N directed southward. The object will come to rest before reversing direction due to the applied forces. To determine how far the object travels before stopping, the kinematic equation \(d = v_i t + \frac{1}{2} a t^2\) is applicable, where the acceleration \(a\) can be calculated from the net force using \(F = ma\). The position of the object 2.5 seconds after it stops can be calculated using the same kinematic principles.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Familiarity with kinematic equations
  • Basic knowledge of vector forces
  • Ability to perform calculations involving mass, force, and acceleration
NEXT STEPS
  • Study kinematic equations in detail, particularly \(d = v_i t + \frac{1}{2} a t^2\)
  • Learn how to calculate net forces and their effects on motion
  • Explore the concept of acceleration due to constant forces
  • Practice problems involving motion under the influence of multiple forces
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and motion analysis, as well as educators seeking to explain the principles of forces and kinematics.

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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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