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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: H.C.Verma - Work & Energy
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anish292 (19)

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pls solve q nos. 43, 45, 49, 50, 51, 52, 57-64. pls help especially in q nos. 57-64. with explanations also. thanx.

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51

see cos37=h/L=4/5 L=elongated length of spring

h/L=4/5
let x be the extension in spring
hence, L=h+x
5h=4h+4x
x=h/4
also loss in pe=gain in ke

1/2(kx^2)=1/2(mv^2)
v^2=kh^2/16m

v=h/4 root(k/m)

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varun.tinkle (1167)

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45) since there is no non-conservative forces
the maximum elongation
mgh=1/2kx^2
or the decrease in height is propotional t increase in the elongation
hieght decreased is x if the springs elongation is x
therefore
mgx=1/2kx^2
therefore x is 2mg/k

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varun.tinkle (1167)

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49)
if the block moves in a complete circle then the radius is 2l
therefore the work done against gravity is 2mgl
therefore 1/2mv^2=2mgl
therefore v-root 2gl

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anish292 (19)

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pls do the others as well.

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varun.tinkle (1167)

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sum no 50)
sinc ethere is no ext. force acting the mechanichal energy will
i know the principe but i cant figure out at what elongation will the block break free

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anish292 (19)

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thats what i was stuck in. neways try others.

Men have been taught that it is a virtue to agree with others. But the creator is the man who disagrees. Men have been taught that it is a virtue to swim with the current. But the creator is the man who goes against the current. Men have been taught that it is a virtue to stand together. But the creator is the man who stands alone.
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varun.tinkle (1167)

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sum no 61)
N+mg=mv^2/r
n>0
mv^2/r=mg at leat
thus v=rootrg


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Renewed shall be blade that's broken
The crown less again shall be king.

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anish292 (19)

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neone pls

Men have been taught that it is a virtue to agree with others. But the creator is the man who disagrees. Men have been taught that it is a virtue to swim with the current. But the creator is the man who goes against the current. Men have been taught that it is a virtue to stand together. But the creator is the man who stands alone.
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varun.tinkle (1167)

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its out of my capability

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anish292 (19)

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ok thanx for those ans which u did.

Men have been taught that it is a virtue to agree with others. But the creator is the man who disagrees. Men have been taught that it is a virtue to swim with the current. But the creator is the man who goes against the current. Men have been taught that it is a virtue to stand together. But the creator is the man who stands alone.
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anish292 (19)

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 but others pls help me out.

Men have been taught that it is a virtue to agree with others. But the creator is the man who disagrees. Men have been taught that it is a virtue to swim with the current. But the creator is the man who goes against the current. Men have been taught that it is a virtue to stand together. But the creator is the man who stands alone.
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anish292 (19)

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nobody is able to these????

Men have been taught that it is a virtue to agree with others. But the creator is the man who disagrees. Men have been taught that it is a virtue to swim with the current. But the creator is the man who goes against the current. Men have been taught that it is a virtue to stand together. But the creator is the man who stands alone.
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varun.tinkle (1167)

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50)
the natural length is 0.4 and let the xtended length be 0.4+x
mg=kxcos@
cos@=mg/kx
which is also equa to 0.4/0.4+x
solving which we get x as 0.1
mgh=1/2mv^2+1/2mv^2+kx^2
since velocity of both the blocks will be the same
solving it we wll get v as 1.5

From shadows a light shall spring
Renewed shall be blade that's broken
The crown less again shall be king.

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varun.tinkle (1167)

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