A force F is exerted upon a point particle as the particle moves through a distance x. The area under the force versus distance graph, (F versus x graph) represents
A) the kinetic energy of the particle;
B) the power developed by the force as the particle moves through
the distance x;
C) the work done by the force as the particle moves through the
distance x;
D) the potential energy the particle gains;
A force F is exerted upon a point particle as the particle moves through a distance...
In figure. 1 below, a particle of mass m is initially at point A, a distance d from the center of one uniform sphere and distance 4d from the center of another identical uniform sphere, both of mass M>>m. State whether, if you moved the particle to point D, the following would be positive, negative, or zero and why: a) the change in the gravitational potential energy of the particle. b) the work done by the net gravitational force on...
The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z) with position vector r = x, y, z is F(r) = Kr/|r|3 where K is a constant. Find the work done as the particle moves along a straight line from (5, 0, 0) to (5, 3, 5).
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 particle is subject to a force F, that varies with position as shown in the following figure. F, (N) S 2 . * (m) 0 2 4 6 8 10 12 14 16 (a) Find the work done by the force on the particle as it moves from x = 0 to x = 4.00 m. (b) Find the work done by the force on the particle as it moves from x = 5.00 m to x = 9.00...
A point charge q = +39.0 µC moves from A to B separated by a distance d = 0.184 m in the presence of an external electric field E with arrow of magnitude 295 N/C directed toward the right as in the following figure. A positive point charge q is initially at point A, then moves a distance d to the right to point B. Electric field vector E points to the right. (a) Find the electric force exerted on...
A point charge q = +41.0 µC moves from A to B separated by a distance d = 0.167 m in the presence of an external electric field E with arrow of magnitude 265 N/C directed toward the right as in the following figure. A positive point charge q is initially at point A, then moves a distance d to the right to point B. Electric field vector E points to the right. (a) Find the electric force exerted on...
The net force exerted on a particle acts in the +x direction. Its magnitude increases linearly from zero at x = 0, to 22.0 N at x = 3.5 m . It remains constant at 22.0 N from x = 3.5 m to x = 8.0 m , and then decreases linearly to zero at x = 13.0 m . A) Determine the work done to move the particle from x = 0 to x = 13.0 m graphically by...
U(U) x(m) 5 10 15 A particle moves under the influence of a conservative force. The graph shows the potential energy U as a function of position x. Which of the following graphs best shows the force F exerted on the particle as a function of r? F(N) ->x(m) F(N) →x(m) (W)x+ F(N) (W)x+ F(N) (W)x+ F(N)
A force F= 8i−6j+ 9k acts on a particle as it moves from the point (0,10,8) to the point (6,12,20) along a straight line. How much work is done?
he net force exerted on a particle acts in the +x direction. Its magnitude increases linearly from zero at x = 0, to 26.0 N at x = 3.0 m . It remains constant at 26.0 N from x = 3.0 m to x = 9.0 m , and then decreases linearly to zero at x = 14.0 m . Determine the work done to move the particle from x = 0 to x = 14.0 m graphically by determining...