Tackling Difficult Homework Integrals

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Homework Help Overview

The discussion revolves around evaluating an integral related to impulse in a physics context, specifically involving forces and mass. The original poster attempts to integrate a force function over time, but encounters issues with negative impulse.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the integration of a force function and the importance of consistent units in the calculations. Questions arise regarding the units of the force and mass terms involved.

Discussion Status

Some participants have pointed out the need for unit consistency, suggesting that the force should be expressed in kilonewtons (kN) to match the mass term. There is an ongoing exploration of how these adjustments affect the calculations.

Contextual Notes

Participants are considering the implications of using different units for force and mass, as well as the potential for negative impulse arising from these inconsistencies.

nysnacc
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Homework Statement


upload_2016-10-14_18-1-0.png


Homework Equations


∫ F dt = mv

The Attempt at a Solution


I have
∫ T -mg dt
= ∫ 100+2t2 - mg dt
= ∫ 100-9000*9.81 +2t2 dt

but then I got negative impulse ...??
 
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nysnacc said:
T=100+2t2
... where the units are ...?
 
Oh I see 100+ 2t^2 in KN... mg should also in kN
 
nysnacc said:
Oh I see 100+ 2t^2 in KN... mg should also in kN
Whatever makes all the units consistent.
 

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