Spend time observing or thinking about events that involve matter and energy. Which events can you explain? Which events can’t you explain? Now answer the following questions. Part A Describe three events that you cannot explain. Part B Ask a testable question about each event you listed in part A. Part C Write a hypothesis for each testable question you listed in part B. Remember, a hypothesis can be proven right or wrong, so make your best guess. Part D Pretend you have a well-equipped lab with every testing device imaginable. What would you measure to test the hypotheses you listed in part C?

What happens to the light rays when they hit the specimen?

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.

If gases like carbon dioxide and methane make up less than 1% of the total atmosphere, why is it important for scientists to monitor changes in percentages of these gases?