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Ambika Biyani
Asked: 2022-10-29T11:29:34+05:30 In:

A particle of mass m = 1 kg is free to move along x axis under influence of a conservative force. The potential energy function for the particle is `U=a[(x/b)^(4)-5(x/b)^(2)]` joule
Where b = 1.0 m and a = 1.0 J. If the total mechanical energy of the particle is zero, find the co-ordinates where we can expect to find the particle and also calculate the maximum speed of the particle.

A particle of mass m = 1 kg is free to move along x axis under influence of a conservative force. The potential energy function for the particle is `U=a[(x/b)^(4)-5(x/b)^(2)]` joule
Where b = 1.0 m and a = 1.0 J. If the total mechanical energy of the particle is zero, find the co-ordinates where we can expect to find the particle and also calculate the maximum speed of the particle.
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1 Answer

  1. Correct Answer – `-sqrt(5) le x le sqrt(5) ; v_(max) =5//sqrt(2) ms^(-1)`

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