A force F(x) = (−4.0x2 + 6.0x) N acts on a particle.
Picking a convenient reference point of the potential energy to be zero at x = 0, find the potential energy for this force. (Use the following as necessary: x. Assume U(x) is in joules and x is in meters. Do not include units in your answer.)
The answer I get is (-4/3x^3) + 3x^2, but webassign says its wrong.
A force F(x) = (−4.0x2 + 6.0x) N acts on a particle. Picking a convenient reference...
A single conservative force F = 6.0x - 12) N where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 30 J at x = 0. (a) Write an expression for U as a function of x, with U in joules and x in meters. U(X) = (b) What is the maximum positive potential energy? (c) At what negative value of x is...
A single conservative force F = (8.0x - 12) N where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 23 ) at x = 0. (a) Write an expression for U as a function of x, with U in joules and x in meters. U(X) = (b) What is the maximum positive potential energy? (c) At what negative value of x is...
A single conservative force F(x) acts on a 1.9 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 = 2 m the particle has a kinetic energy of 7.4 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...
A single conservative force F = (5.0x - 11)î N, where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 24 J at x = 0. (a) What is the maximum positive potential energy? At what (b) negative value and (c) positive value of x is the potential energy equal to zero? with s.i units
A single conservative force F = (5.0x - 11)i N, where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 25 J at x = 0. (a) What is the maximum positive potential energy? At what (b) negative value and (c) positive value of x is the potential energy equal to zero?
A single conservative force F with arrow = (7.0x − 12)i hat N
where x is in meters, acts on a particle moving along an x axis.
The potential energy U associated with this force is assigned a
value of 29 J at x = 0.
(a) Write an expression for U as a function of x, with Vin joules and x in meters. U(x) (b) What is the maximum positive potential energy? (c) At what negative value of x...
A conservative force F(x) acts on a 2.0 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in the figure. When the particle is at x-2.0 m, its velocity is -1.4 m/s. (a) What is F(x) at this position, including sign? Between what positions on the (b) left and (c) right does the particle move? (d) what is its particle's speed at x = 7.0 m? x (m) 10 15 (a) Number...
A force F = cx – 3.00x2 ) i acts on a particle as the particle moves along an x axis, with Ē in newtons, x in meters, and c a constant. At x = 0 m, the particle's kinetic energy is 21.0 ; at x = 4.00 m, it is 12.0 J. Find c. Number Units the tolerance is +/-3% Click if you would like to Show Work for this question: Open Show Work
Chapter 08, Problem 077 A conservative force F(x) acts on a 1.7 kg particle that moves along an x axis. The potential energy u(x) associated with F(x) is graphed in the figure. When the particle is at x = 2.0 m, its velocity is -1.9 m/s. (a) What is F(x) at this position, including sign? Between what positions on the (b) left and (c) right does the particle move? (d) What is its particle's speed at x = 7.0 m?...
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 = 1.25 J/m4. What is the force (magnitude and direction) when the particle is at x = -0.856 m?