PHYSICS 1 Indiana State University Physics Problems Homework The figure here shows a plot of potential energy U versus position x of a 0.896 kg particle th

PHYSICS 1 Indiana State University Physics Problems Homework The figure here shows a plot of potential energy U versus position x of a 0.896 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 7.86 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 7.86 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?

A horizontal force of magnitude 33.9 N pushes a block of mass 3.52 kg across a floor where the coefficient of kinetic friction is 0.580. (a) How much work is done by that applied force on the block-floor system when the block slides through a displacement of 4.98 m across the floor? (b) During that displacement, the thermal energy of the block increases by 38.8 J. What is the increase in thermal energy of the floor? (c) What is the increase in the kinetic energy of the block?

In the figure here, a small block is sent through point A with a speed of 6.6 m/s. Its path is without friction until it reaches the section of length L = 12 m, where the coefficient of kinetic friction is 0.79. The indicated heights are h1 = 5.5 m and h2 = 2.3 m. What are the speeds of the block at (a) point B and (b) point C? (c) Does the block reach point D? (d) If so, what is its speed there; if not, how far through the section of friction does it travel?

The original questions and pictures are attached below.