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...
force Fx acts on a particle that has a mass of 2 kg. The force is related to the position x of the particle by the formula F 3, where C-0.5 if x is in meters and Fy is in Newton (a)What are the SI units of C? (Use the following as necessary: N and m.) (b) Find the work Wdone by this force as the partidle moves from x - 2.8 m to x - 1.6 m (C) At...
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 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) A force F = (5xî + 4yĵ), where F is in newtons and x and y are in meters, acts on an object as the object moves in the x-direction from the origin to x = 5.21 m. Find the work W = F · dr done by the force on the object (in J). J (b) What If? Find the work W = F · dr done by the force on the object (in J) if it moves...
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 F = F_x i cap + F_y j cap with F_x = 50 N and F_y = 12 N is exerted on a particle as the particle moves along the x axis from x = 1.0 m to x = 5.0 m. (a) Determine the work done by the force on the particle. (b) What is the angle between the force and the particle's displacement?
The conservative force F = (3.00x + 4.00) N does work on a particle moving along the x axis. What is the magnitude of the change in potential energy (in J) of the particle when particle moves from x = 2.0 m to x = 3.0 m? a. 10.5 b. 11.5 c. 12.5 d. 13.5 e. 14.5
The force on a particle is directed along an x axis and given by F = F0(x/x0 - 1) where x is in meters and F is in Newtons. If F0 = 1.6 N and x0 = 2.0 m, find the work done by the force in moving the particle from x = 0 to x = 2x0 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?