A force parallel to the x-axis acts on a particle moving along the x-axis. This force produces potential energy U (x) given by U (x) = αx4, where α = 0.750 J/m4J/m4.

# What is the magnitude of the force when the particle is at x = - 0.800 m?

Express your answer with the appropriate units.

Question

25 March, 14:55

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Madeleine Kane · Answer 1

U (x) = αx⁴

Force F = - dU / dx

= 4αx³

= 4 x. 75 x³

= 3 x³

Force when x =.8 m

F = 3 (0.8) ³

= 1.54 N

A force parallel to the x-axis acts on a particle moving along the x-axis. This force produces potential energy U (x) given by U (x) = αx4, where α = 0.750 J/m4J/m4.# What is the magnitude of the force when the particle is at x = - 0.800 m?Express your answer with the appropriate units.