A single conservative force F(x) acts on a particle of mass m that moves along a

Question

A single conservative force F(x) acts on a particle of mass m that moves along an x axis. The potential energy U(x) associated with F(x) is given by

where x is in meters and A and B are positive constants. (a) Determine a formula in newtons and meters for the force on the particle. (b) At what value of x does the force vanish?

A single conservative force F(x) acts on a particle of mass m that moves along an x axis. The potential energy U(x) associated with F(x) is given by U(x)=Axe^-Bx where x is in meters and A and B are positive constants. (a) Determine a formula in newtons and meters for the force on the particle. (b) At what value of x does the force vanish?

Explanation / Answer

F(x) = -dU/dx = Ae^-Bx -ABxe^-Bx = Ae^-Bx*(1 - Bx) The force = 0 when x = 0 or 1/B or infinity

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