A 1 kilogram bead moves with constant total mechanical energy on a frictionless wire track. The track is in a vertical plane and consists of straight segments and circular segments. For example, points B, F, G, H are on straight segments. Points A, C, D, E are on circular track segments. Point A is at the top of the track and point H is the lowest point of the track. The bead is shown initially at point C with a velocity 5.6 m/s down as represented by the velocity arrow. The circular portion of track that includes points A, C, D has a radius 3.2 meters. radius Direction Key 5

During a rockslide, a 390 kg rock slides from rest down a hillside that is 460 m long and 300 m high. The coefficient of kinetic friction between the rock and the hill surface is 0.24. If the gravitational potential energy U of the rock-Earth system is set to zero at the bottom of the hill, what is the value of U just before the slide?1.15×106 J How much mechanical energy is dissipated by frictional forces during the slide? What is its speed then? What is the kinetic energy of the rock as it reaches the bottom of the hill?

The Super Sled travels with an initial kinetic energy of 3369 J horizontally and to the right along a frictionless flat surface, initially at a height of zero (initial gravitational potential energy = 0). The driver briefly engages the rocket over a distance (Ax) of 2.000 m, pushing the sled with a force of 400.0 N over that distance. The rocket is then turned off. The sled then goes up an inclined surface with a rough surface. The coefficient of kinetic friction on the incline is uk. At the top of the incline, the sled reaches a height h = 1.500 m above the ground where the surface becomes flat and frictionless again. The sled (including the rocket and driver) has a total mass of 87.00 kg. (Notes: assume that g = 9.810 m/s² , and that the mass of fuel used by the rocket is negligible. Do not use scientific notation). After &, rocket rocket Before propulsion propulsion starts ends rough inclined surface rocket frictionless engaged coefficient of kinetic friction = H surface h = 1.500 m…

a baseball outfielder throws a baseball of mass 0.15 kg at a speed of 40 m/s and an initial angle of 30 degrees. What is the kinetic energy of the baseball at the highest point of the trajectory? Ignore air friction.