only along an x axis under the influence of a conservative force. On the graph UA = 9.00 J, = 12.00 J with = Uc = 20.0 J, and Up = 24.0 J. The particle is released at the point where UB kinetic energy 4.00 J. Which of the following statements must be true? (D)a Uch UB UA 0 3 5 6 7 8 9 4 x (m) a. If the particle is initially moving in the -î direction, then it has enough energy to reach x = 0. b. The particle is at an unstable equilibrium at x = 5.00 m. c. The kinetic energy of the particle is greater than 4.00 J at x = 6.50 m. d. The work done on the particle must be negative as it moves from x = 7.00 m to x = 7.50 m. e. The particle will be stuck in the potential well between x = 6.00 m and x = 7.00 m.

The figure here shows a plot of potential energy U versus position x of a 0.876 kg particle that can travel only along an x axis. (Nonconservative forces are not involved.) Three values are UA = 15.0 J, Ug = 35.0 J and Uc = 45.0 J. The particle is released at x = 4.50 m with an initial speed of 7.96 m/s, headed in the negative x direction. (a) If the particle can reach x = 1.00 m, what is its speed there, and if it cannot, what is its turning point? What are the (b) magnitude and (c) direction of the force on the particle as it begins to move to the left of x = 4.00 m? Suppose, instead, the particle is headed in the positive x direction when it is released at x = 4.50 m at speed 7.96 m/s. (d) If the particle can reach x = 7.00 m, what is its speed there, and if it cannot, what is its turning point? What are the (e) magnitude and (f) direction of the force on the particle as it begins to move to the right of x = 5.00 m? UcT UB 4 x (m) (a) Number i Unit (b) Number i Unit (c) (d) Number i…

In the figure, a 2.8 kg block is accelerated from rest by a compressed spring of spring constant 620 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction -0.241. The frictional force stops the block in distance D-8.2 m. What are (a) the increase in the thermal energy of the block-floor system, (b) the maximum kinetic energy of the block, and (c) the original compression distance of the spring? No friction

The figure here shows a plot of potential energy U versus position x of a 0.898 kg particle that can travel only along an x axis. (Nonconservative forces are not involved.) Three values are UA = 15.0 J, UB = 35.0 J and Uc = 45.0 J. The particle is released at x = 4.50 m with an initial speed of 7.52 m/s, headed in the negative x direction. (a) If the particle can reach x = 1.00 m, what is its speed there, and if it cannot, what is its turning point? What are the (b) magnitude and (c) direction of the force on the particle as it begins to move to the left of x = 4.00 m? Suppose, instead, the particle is headed in the positive x direction when it is released at x = 4.50 m at speed 7.52 m/s. (d) If the particle can reach x = 7.00 m, what is its speed there, and if it cannot, what is its turning point? What are the (e) magnitude and (f) direction of the force on the particle as it begins to move to the right of x = 5.00 m? Uc UB UA 2 4 x (m) (a) Number i Unit (b) Number i Unit (c) (d)…