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Another individual asked how to solve this question on Chegg of which someone pr

ID: 1418125 • Letter: A

Question

Another individual asked how to solve this question on Chegg of which someone provided a written out answer. I can't post the answer here because of max image uploading, but what I don't understand is WHY the individual who solved the problem used the first mass for the last part of solving this problem? If you know how to solve this problem please provide a step-by-step process and an explanation please... I understand that using 1kg provides the answer (C), but why would do I have to use 1kg instead of 1.5kg? What is the rule of thumb here forcing me to do that?

Only informative answers please. Don't answer that "plugging in 1kg gives you the answer."

Explanation / Answer

here

given masses are m = 1 kg and M = 1.5 kg

using here equation is

F = k ( d - d0 )

we have F = M g

then

Mg = k ( d - d0 ) ---- 1

1 X 9.8 = k ( 6 - d0 ) ---- 2

same way

1.5 X 9.8 = k ( 7 - d0 ) ---- 3

dividing equation 1 by 2

1 / 1.5 = ( 6 - d0 ) / ( 7 - d0 )

( 7 - d0 ) = 9 - 1.5d0

0.5 d0 = 2

d0 = 4 cm

using the equation 1

mg = k ( d - d0 )

k = M g / ( d - d0 )

k = 1.5 X 9.8 X ( 7 - 4 )

k = 14.7 / 3

k = 4.9 N/cm

k = 5 N/cm ( rounded off value )

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