Question

Hlo Users !

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Mass of object is 4kg and potential energy is given by 200x² + 40 . find time period .

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Answer 1

$\bf \green{hello \: users}$
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P.E = 200x² + 40 ---------(1)

m = 4kg

As we know that , P.E = 1/2kx² + v•

•°• 1/kx² = 200x²

k = 400

$T \: = \: 2\pi \sqrt{ \frac{m}{k} }$

$T \: = 2\pi \sqrt{ \frac{4}{400} }$

$T \: = \: \frac{\pi}{5}$
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$\bf \pink{hope \: it \: helps \: you}$

Answer 2

$\underline \mathbb{SOLUTION}$

GIVEN

$m = 4kg$

$potential \: energy= 200 {x}^{2} + 40$

AS WE KNOW THAT,

$potential \: energy = \frac{1}{2}k {x}^{2} + v$

$\underline \mathbb{THEREFORE}$

$\frac{1}{k {x}^{2} } = 200 {x}^{2}$

$k = 400$

$t = 2\pi \sqrt{ \frac{m}{k} }$

$t = 2\pi \sqrt{ \frac{4}{400} }$

$t = \frac{\pi}{5}$

$\underline \mathbb{ANSWER}$

$t = \frac{\pi}{5}$

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