A single conservative force F(x) acts on a 1.4 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is given by U(x) = -4xe-x/6 where U is in Joules and x is in meters. At x = 3 m the particle has a kinetic energy of 18 J. (a) What is the mechanical energy of the system? (b) What is the maximum kinetic energy of the particle and (c) the value of x at which it occurs?
A single conservative force F(x) acts on a 1.4 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is given by U(x) = -4xe-x/6 where U is in Joules and x is in meters. At x = 3 m the particle has a kinetic energy of 18 J. (a) What is the mechanical energy of the system? (b) What is the maximum kinetic energy of the particle and (c) the value of x at which it occurs?
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Transcribed Image Text:A single conservative force F(x) acts on a 1.4 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is
given by
U(x) = -4xe-x/6
where U is in Joules and x is in meters. At x = 3 m the particle has a kinetic energy of 18 J. (a) What is the mechanical energy of the
system? (b) What is the maximum kinetic energy of the particle and (c) the value of x at which it occurs?
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