How Is Final Velocity Calculated from Impulse?

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SUMMARY

The final velocity of a 538 g object initially at rest can be calculated using the impulse-momentum theorem, represented by the equation I = m∆v. In this case, the impulse calculated from the area under the force-time curve is 7 N·s. By substituting the mass (0.538 kg) into the equation, the correct final velocity is determined to be approximately 12.0007 m/s, not 13.011 m/s. Attention to detail, such as unit submission requirements, is crucial in problem-solving.

PREREQUISITES
  • Understanding of impulse-momentum theorem
  • Ability to calculate area under a curve in a force-time diagram
  • Knowledge of unit conversions (grams to kilograms)
  • Familiarity with basic algebraic manipulation
NEXT STEPS
  • Study the impulse-momentum theorem in detail
  • Practice calculating areas under curves in force-time diagrams
  • Learn about unit conversion techniques in physics
  • Explore common pitfalls in physics problem-solving
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the relationship between force, impulse, and velocity calculations.

AdnamaLeigh
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The force shown in the force-time diagram acts on a 538 g object. Find the final velocity of the object if it is initially at rest. Answer in m/s.
diagram.jpg

I correctly found the impulse by determining the area underneath the curve. It's 7 N s. I know that we can determine the final velocity by using this equation: I=m∆v. I also saw a topic somewhere on this site where someone suggested the same formula. I used this formula and I get the wrong answer.
7 = .583(vf - 0) vf = 13.011m/s
I also tried inputting -13.011m/s and that was also incorrect. I don't know where I'm going wrong.
 
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Hmm, I can't see what you've done wrong. I get the exact same answer !
 
so you get 7=.583vf? then you just divide and get 12.0007 right? or am i missing something. at any rate. is this an online problem? because if it tells you to give velocity in m/s you don't have to write the units in your submitted answer... usually. did you try that?
 
My dyslexia always seems to kick in at the worst moments. I got it. Thanks guys.
 

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