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 which it occurs?

At
, kinetic
energy of particle is 
a) Total mechanical energy is the sum of kinetic and potential energies.



b) The particle will have its maximum kinetic energy when its potential energy is minimum (zero).

c) For the maximum kinetic energy of particle,






A single conservative force F(x) acts on a 1.9 kg particle that moves along an x...
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 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 atx-2.0 m, its velocity is -1.7 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) 0 10 15 0 -5...
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 = (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 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 single conservative force acts on a 4.50-kg particle within a system due to its interaction with the rest of the system. The equation Fx = 2x + 4 describes the force, where Fx is in newtons and x is in meters. As the particle moves along the x axis from x = 1.10 m to x = 6.55 m, calculate the following. (a) the work done by this force on the particle J (b) the change in the potential...
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?...
1a.
1b. 1c.
A single conservative force = (AX - B) N, where x is in meters, and A and B are positive constants, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 0 at x = 0. (a) Write an expression for the potential energy associated with this force. (b) What is the maximum positive value of the potential energy? In the figure, a block of...
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...