An object weighing 0.6N is hung on a spiral spring and causes it to extend by 6.0cm.
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Jan 8, 2025
An object weighing 0.6N is hung on a spiral spring and causes it to extend by 6.0cm. The object is removed and a block of wood replacing it causes the spring to extend by 10.0cm. What is the weight of the block of wood?
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an object weighing
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0.6 Newton is hung on a spring spiral
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spring and causes it to extend by 6.0
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CM the object is removed and a block of
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wood reflecting
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it causes the spring to extend by 10.0
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CM what is the weight of the block of
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wood the first thing you need to do is
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to look at
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extract your data we already have an
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object weighing 0.6 Newton
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therefore we now have a
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force
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f is equal to
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0.6
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Newton is hung on a spir
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spring and causes it to extend by 6.0
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CM we have first extension we have two
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extensions the first extension here
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E1 is equals
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to
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6
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0
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cm and from this 6.6 CM if we decide to
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convert it to met because our unit is
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supposed to be in met therefore it's
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going to to be 6
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/ 100 and it will give us
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0.06
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M
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now we need to remember this implies
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that we need to remember that f is
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equals to k a this is the force this is
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the for constant and this is the
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extension and we don't have P constant
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therefore we need to find K therefore by
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dividing both sides by
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a e we now
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have k = to
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F over e which is equals to from here we
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have our F = 0.6 Newton therefore you
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write
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0.6 Newton or over our E1 here is 6 is
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0.06 M therefore e
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sorry
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E1 is equals to this E1 is the extension
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the first extension which is replacing
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this e this is extension therefore E1 is
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the first extension which is
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0.06 M and this is going to give give us
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this 0.6 / this will give us 10 and the
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unit here
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is this divid 0.6 / 0.06 will give us 10
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this is Newton you write your Newton
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this is divided by then you write
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divided by meter here we
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write me therefore Newton met which is
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our
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key now we consider the second
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ex the
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object is removed and a block of fot
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reflexing
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it causes the spring to extend by 10
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cm now we have another
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extension E2 which is equal to
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10
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cm and we need to also comvert this cm
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into M which is equal to 10
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/ 100 m and this is going to give us
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this divided by this will give us uh
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0.1
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M which is going to be our second
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extension therefore since we have our
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second extensional to this therefore we
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can now simply say
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that we also have remember that our KY
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is equals
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to
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10 Newton
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per
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met therefore we can now simply use this
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Formula
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F isal
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to k e
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2 which is equals to K here is
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10 then
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Newton per
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meter time E2 here is 0.1 M *
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0.1 M therefore
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F which is the weight of the wood we are
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now trying to find the weight of the
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wood or the weight of the block of a
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wood which is f therefore if you
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multiply 10 by 0 .1 10 by 0.1 is going
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to give you
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1 and this meter will cancel this meter
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therefore you end it with end off with
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one unit here which is Newton therefore
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you this F is equal to 1 Newton which is
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your final answer I hope you understand
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how we arrive at the final answer you
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can now uh read it read the question and
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also
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check the
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answers thank you for watching
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