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  4. A single conservative force F(x) acts on a 1.0- kg particle that moves along the x-axis. The potential energy U(x) is given by U(x)=20+(x-2)2 where x is in meters. At x=5.0 m, the particle has a kinetic energy of 20 J. The maximum kinetic energy of the particle and the value of x at which maximum kinetic energy occurs are

Q. A single conservative force acts on a particle that moves along the -axis. The potential energy is given by where is in meters. At , the particle has a kinetic energy of .
The maximum kinetic energy of the particle and the value of at which maximum kinetic energy occurs are

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Solution:

is maximum, where is minimum and

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