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

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SUMMARY

The discussion focuses on calculating the final velocity of a 2.5 kg object moving at -1.0 m/s after experiencing a 4 N force for 3 seconds. The impulse experienced by the object is calculated using the equation \( F \times t = \Delta p \), leading to the equation \( 12 = 2.5 \times (v + 1) \). Solving this equation yields the final velocity, confirming the correct application of impulse-momentum principles in one-dimensional collisions.

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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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