When cooking frozen cheese ravioli, the directions say to put the 255 grams of filled pasta into 3 quarts of boiling water. why should you use 3 quarts when 1 quart would easily cover them all? suppose they are in the freezer at - 40 °c. you may consider the ravioli to have a specific heat of 0.4 cal/gam-°c both when frozen and when in water.

a. by how much does the temperature of the 3 quarts of water drop when you add the frozen ravioli?
b. how much would the water temperature drop if you used only 1 quart? why do they ask for 3 quarts?

An airplane flying parallel to the ground undergoes two consecutive displacements. the first is 76 km at 39.8◦ west of north, and the second is 156 km at 59.9◦ east of north. what is the magnitude of the plane’s total displacement? answer in units of km. 020 (part 2 of 2) 10.0

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.

Work = force × a. work b. energy c. distance d. momentum