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  GR0177 #54
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Mechanics}Impulse

Impulse is defined as J=\int F dt. But, for this problem, one doesn't have to evaluate a messy integral. Instead, the area under the curve is just the sum of two triangles. J=2\frac{1}{2}(2)(1)=2kgm/s, as in choice (C).

See below for user comments and alternate solutions! See below for user comments and alternate solutions!
Alternate Solutions
ramparts
2009-10-08 10:53:17
Better yet, it's one triangle :P \frac{1}{2}*2*2 = 2 kg m/s.Alternate Solution - Unverified
Comments
kevintah
2015-10-02 10:29:02
I mean . . . . when you look at it, it just screams area under the curve scenario. . . so you just do area of triangle.NEC
Almno10
2010-11-09 12:57:21
better yet, you can write the equations of the lines F = 2t on [0,1] and F = -t+4 on [1,2] and simply sum the integrals! j/k
Dr. D.R. Dopetec
2011-09-28 19:38:06
ha yes
NEC
fiber
2009-11-05 22:09:52
better yet, put the triangles together and it's one rectange with A=x\cdot y = 1 \cdot 2NEC
ramparts
2009-10-08 10:53:17
Better yet, it's one triangle :P \frac{1}{2}*2*2 = 2 kg m/s.Alternate Solution - Unverified

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better yet, you can write the equations of the lines F = 2t on [0,1] and F = -t+4 on [1,2] and simply sum the integrals! j/k

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