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Mathematics 10 Online
OpenStudy (babynini):

Stretching springs!

OpenStudy (babynini):

OpenStudy (babynini):

I'm not sure how to do the first one? I first got 0.44 and then got 0.044 which both seem like too small of numbers xP

OpenStudy (babynini):

@zepdrix ^-^

OpenStudy (babynini):

Pretty sure the second one is incorrect too.

OpenStudy (babynini):

oo. is the first one 1.67?

OpenStudy (babynini):

@DanJS

OpenStudy (danjs):

Force Spring = -k*x Work = Force*distance

OpenStudy (babynini):

Isn't it Force = k*x not -k?

OpenStudy (babynini):

@ganeshie8

OpenStudy (babynini):

@tkhunny

OpenStudy (danjs):

hi

OpenStudy (danjs):

|dw:1453521840122:dw|

OpenStudy (danjs):

the work done can be thought of as the area under the curve, Work = Force*distance the linear part is just a right triangle, so the area is just 1/2*base*height, or W = 1/2 * x * F = 1/2 * x * kx W = 1/2 * k * x^2 for the linear portion

OpenStudy (danjs):

---5 J of work stretched the spring 32 to 38cm = 0.06m W = 1/2 * k * d^2 5 J = 1/2 * k * (0.06 m)^2 k = 166.7 [N/m]

OpenStudy (danjs):

sorry the above is k=2777.78 N/m There is the spring constant. Now calculate the Work for the next part 34 - 36 cm d = 2cm = 0.02m k = 2777.78 N/m W = 0.5 * k * d^2 = 0.56 J

OpenStudy (danjs):

The last same thing i think. W = 1/2 * k * d^2 45 [J] = 1/2 * 2777.78 [N/m] * d^2 d = 0.18 m

OpenStudy (danjs):

what you think

OpenStudy (danjs):

yeah it depends on the way you define direction, and if you are compressing or stretching the spring, whether the force is -k or +k,

OpenStudy (danjs):

here the force is in the + , and the spring force is in the - from stretching the spring |dw:1453523141189:dw|

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