Um objeto de 200 kg é acelerado a 4 m/s2 sob ação de uma força F. Determine a distância deslocada pelo objeto sob ação dessa força sabendo que a energia transferida para ele foi de 9,6 kJ.
a) 8 m

b) 10 m

c) 12 m

d) 13 m

e) 14 m

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.

A0.750 kg aluminum pan is removed from the stove and plunged into a sink filled with 10.0 kg of water at 293 k. the water temperature quickly rises to 297 k. what was the initial temperature of the aluminum pan? the specific heat of aluminum is ca = 900 j/(kgk) and water is cw = 4190 j/(kgk)

You have 80 g of 60oc water and 80 g or 10oc water. what is the final temperature when the two are mixed? explain.