Scientists use different types of microscopes to observe objects that are not visible to the naked eye. A scientist is reviewing various samples of pond water to determine what species of microorganisms live in the pond. The scientist wishes to make drawings of the structure of each microorganism and study each one's method of movement. Which of the following microscopes would be best for the scientist to use?

According to the tide table below what time of day will the highest tide occur?

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.

How to tell if two objects are in thermal equilibrium 1.the objects have the same temperature 2.the objects are the same size 3.the objects are touching each other 4.the objects temperatures are changing