Question

a spring when compressed by 4cm has 2j energy stored in it.the force required to extend it by 8cm will be....

Answer 1

4cm has 2j so 8cm has 4j

Answer 2

Aɴꜱᴡᴇʀ

$\sf{} \orange{force \: reuired = 200n}$

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Gɪᴠᴇɴ

a spring when compressed by 4cm has 2J energy stored in it.

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ᴛᴏ ꜰɪɴᴅ

the force required to extend it by 8cm

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Sᴛᴇᴘꜱ

Answer : 200 N

Explaination :

We know energy of a spring is given by

$\huge \pink{\tt{\frac{1} {2}kx^2}}$

By putting the values

$\tt \large{2=\frac{1} {2}k(4)^2 \times\:10^{-4}}$

Further solving

We got k = 250

Now, we know

Force = kx

F = 250 × 0.08

$\large \ \sf \red{ \leadsto200n}$

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Additional Information:-

Spring force is conservative force as work done by spring is path independent.

It only depends on initial and final position

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$\huge{\mathfrak{\purple{hope\; it \;helps}}}$