How Does a Force Impact Final Velocity in One-Dimensional Collisions?

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In a one-dimensional collision scenario, an object with a mass of 2.5 kg moves at a velocity of -1.0 m/s and experiences a force of 4 N for 3 seconds. The impulse experienced by the object is calculated, leading to the equation 12 = 2.5(v + 1). This equation can be solved to find the final velocity after the force is applied. The discussion emphasizes the importance of understanding impulse and its effect on final velocity in collision problems. The final velocity can be determined by rearranging the equation and solving for v.
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Homework Statement


An object of mass 2.5kg is moving in the negative x direction at a velocity of 1.0
m/s. It experiences a force shown of 4N for 3 seconds, what is the final velocity after the object has experienced the impulse.

Homework Equations





The Attempt at a Solution


2.5(v-(-1)=12N
And after that I am not quite sure if that is correct or how to fully solve.
 
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It's correct so far. Now recall from maths that a-(-b) = a+b, so 12=2.5\times(v+1) and hopefully you should be able to solve for v from there :)
 
Thank you. It is much appreciated.
 

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