Question

A long a spring is stretched by 2 metre is potential energy is U if the spring is stretched by 10 centimetre the potential energy stored in it will be​

Answer 1

Answer:

U/400

Explanation:

Refer to the material.

Answer 2

Aɴꜱᴡᴇʀ

$\huge\tt{\orange{U'=25U}}$

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Gɪᴠᴇɴ

Spring stores U potential energy when stretched for 2cm

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ᴛᴏ ꜰɪɴᴅ

The potential energy stored in spring when stretched by 10cm

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Sᴛᴇᴘ

The formula of stored potential energy is

$\large\tt\dashrightarrow U=\dfrac{1}{2}kx^2$

• U denotes potential energy

• k denotes spring constant

• x denotes elongation

Now as per the formula of energy stored in spring,

$\begin{lgathered}\tt\leadsto\red\:U\propto x^2\\ \\ \mapsto\tt\:\dfrac{U}{U'}=\dfrac{{x_1}^2}{{x_2}^2}\\ \\ \mapsto\tt\:\dfrac{U}{U'}=\dfrac{4}{100}\\ \\ \mapsto\tt\:\dfrac{U}{U'}=\dfrac{1}{25}\\ \\ \dashrightarrow \tt{\pink{U'=25U}}\end{lgathered}$

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