You are baking cookies and have just pulled two cookie sheets out of the oven. The cookie sheets have the same thickness (which is very thin) and same ratio of width to length, and one of the cookie sheets is twice as long as the other. Will one cookie sheet cool more quickly than the other? If so, which one cools faster and why? If not, why do they cool at the same rate?

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.

When a spring is compressed, the energy changes from kinetic to potential. which best describes what is causing this change? work power gravitational energy chemical energy

1.what is where an object is located 2. what is how fast an objects speed is changing 3. what is how fast an object is moving