Question

The PE of particle of mass m free to move along x axis is U = 1/2kx^2 for x < 0 , U = 0 . , If total ME is E then it's speed at x = - √2√E/√k is ?

Answer 1

Heya......!!!!

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Given in the Question :-

• Potential Energy = 1/2kx^2
• Mechanical energy = E

Now ,, from Conservation of Energy :-

=> PE + KE = E

=> KE = E - PE

=> KE = E - 1/2Kx^2

Kinetic Energy at x = - √2√E / √k is.....

=> E - 1/2 k × ( 2E/k ) = 0

Hence ,,,, Speed of particle at x = - √2√E ÷√k

➡➡=>> Zero ( 0 ).

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Hope It helps You ^_^