At the instant the displacement of a 2.00 kg object relative to the origin is = (2.00 m) + (4.00 m) - (3.00 m) , its velocity is = - (5.85 m/s) + (2.10 m/s) + (8.31 m/s) and it is subject to a force = (9.47 N) - (6.28 N) + (6.46 N) . Find the acceleration of the object ((a), (b) and (c) for , and components respectively), the angular momentum of the object about the origin ((d), (e) and (f) for , and components respectively), the torque about the origin acting on the object ((g), (h) and (i) for , and components respectively), and (j) the angle between the velocity of the object and the force acting on the object.

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

Atelevision set that has been running for a while heats up even the air around it. which two laws of thermodynamics could be used to analyze this scenario

Which of the following are appropriate acceleration units?