Looking straight downward into a rain puddle whose surface is covered with a thin film of gasoline. you notice a swirlingpattern of colors caused by interference inside the gasoline film. The point directly beneath you is colored a beautifuliridescent green. You happen to remember that the index of refraction of gasoline is 1.38 and that the wavelength of greenlight is about 540 nm. What is the minimum possible thickness of the gasoline layer directly beneath you?

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.

Aweight lifter raises a 1600 n barbell to a height of 2.0 meters. how much work was done? w = fd question 6 options: 3000 joules 30 joules 320 joules 3200 joules

Find v(t), given acceleration a(t)=7j and initial velocity v(0)=k