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A force parallel to the x-axis acts on a particle moving along the x-axis. This force produces a potential energy U(x) given by U(x)= (1.14J/m^4)x^4.

What is the force (magnitude and direction) when the particle is at position x= -0.570m?

2007-03-19 15:02:18 · 3 answers · asked by ♡♥EM♡♥ 4 in Science & Mathematics Physics

3 answers

F = -dU/dx

F = -(1.14)4x³
F = 0.84448 N

F is approximately 0.844 N

2007-03-19 16:01:38 · answer #1 · answered by Boozer 4 · 0 0

the force is the negative of the derivative of U(x), so
F(x) = -1.14(4x^3) = -4.56x^3
F(-.570) = .844 N in the positive direction (I suppose to the right).

2007-03-19 22:52:16 · answer #2 · answered by Tony O 2 · 0 0

F = -dU/dx = -4.56 x^3 = +0.844 N

2007-03-19 22:55:37 · answer #3 · answered by gamer945094 2 · 0 0

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