Mr. Bailey decided to do an experiment to see if different types of popcorn pop faster in the microwave. The TV commercials say that Popalicious is the fastest popping popcorn in the world. Mr. Bailey’s hypothesis was, “If I pop Jiffy Pop, Popalicious, and Pop-Tastic popcorn in a microwave, then the Popalicious will pop faster because the commercial says so.” He takes Jiffy Pop, Popalicious, and Pop-Tastic and places them each in the microwave for 2 minutes. After two minutes is up, he counts the number of POPPED kernels in the bag. After three trials, Jiffy Pop had an average of 256 popped kernels, Popalicious had an average of 341 popped kernels, and Pop-Tastic had an average of 357 popped kernels.

Explain in physical terms how a microwave oven works. what would happen when you put a conductor in the microwave oven? explain.

According to newton's second law, when the same force is applied to two objects of different masses, a the object with greater mass will experience a great acceleration, and the object with less mass will experience an even greater acceleration, b. the object with greater mass will experience a smaller acceleration, and the object with less mass will experience a greater acceleration, c. the object with greater mass will experience a greater acceleration, and the object with less mass will experience a smaller acceleration, d. the object with greater mass will experience a small acceleration, and the object with less mass will experience an even smaller acceleration.

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.