Solving Force vs Time Graph Homework Problem

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SUMMARY

The forum discussion revolves around calculating the impulse generated by a rocket as its upward force increases uniformly from 5 x 106 N to 8 x 106 N over a duration of 15 seconds. The user initially calculated the impulse as 9.75 x 107 N·s, but the correct answer is 6 x 107 N·s. The discrepancy arises from the incorrect application of the impulse formula, which requires the average force over the time interval.

PREREQUISITES
  • Understanding of impulse and momentum concepts in physics
  • Familiarity with the formula for impulse: Impulse = Average Force x Time
  • Basic knowledge of uniform acceleration and force calculations
  • Ability to perform arithmetic operations with scientific notation
NEXT STEPS
  • Review the concept of impulse and its relationship to force and time
  • Study the derivation of the impulse formula and its applications in physics
  • Practice problems involving uniform force changes and impulse calculations
  • Explore graphical representations of force vs. time and their implications for impulse
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Students studying physics, particularly those focusing on mechanics and impulse calculations, as well as educators looking for examples of force dynamics in rocket propulsion scenarios.

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Homework Statement


A rocket increase its upward Force uniformly from 5*10^6N to 8*10^6 Nover 15s

find the impulse?



Homework Equations


Impulse?


The Attempt at a Solution



My answer=(5*10^6 +8*10^6/2)15=9.75*10^7N.s

Book answer=6*10^7

please help me how to find the right answer?
 
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