Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare time (when they are not sleeping or eating) joyfully scampering about on the cage's floor. Bryce tracks his mice's health diligently and just now recorded their masses as 10.3 g,18.5 g,11.3 g, and 18.3 g. At this very instant, the x‑ and y‑components of the mice's velocities are, respectively, (0.115 m/s, −0.527 m/s), ,(−0.237 m/s, −0.391 m/s), ,(0.843 m/s, 0.455 m/s), and (−0.897 m/s, 0.135 m/s). Calculate the x‑ and y‑components of Bryce's mice's total momentum, px and Py.

On Dec 5, 2022, scientific history was made at the Lawrence Livermore National Laboratory (LLNL) in Livermore, California when nuclear fusion was achieved when the 192 lasers deposited about 2 Megajoules (MJ) of energy into a frozen pea sized deuterium-tritium pellet and ignited the pellet through nuclear fusion to release 3 MJ of energy. The metric prefix mega means million (10^6). a) How much mass (kg) would be required to release 1 MJ of energy?

A biologist studies a species of bacteria called FAST, her research reveals that FAST bacteria reproduced prodigiously. If a bacteria culture contains 10 FAST bacteria at time t= 0, the number of FAST bacteria in the culture later time 't' is N(t) = 10 +6t +2t2 where 't' is expressed in seconds.  How many bacteria occupy the culture a time t = 10s?  At t =11s? Calculate how many net bacteria were born during the interval between t=10 and t=11, assume no bacteria died.  Now use calculus to find the birth rate of bacteria (rate at which new bacteria get born) at time t=10s, it may help to sketch a rouch graphy of N vs 't'.

A relationship is found between the number density of cars on a freeway during rush hour, N, and distance. The relationship can be written as k a'N No dr? From this you can conclude that O w = V No O v = No No O v =