Ablock of mass m is undergoing shm on a horizontal, frictionless surface while attached to a light, horizontal spring. the spring has force constant k, and the amplitude of the shm is a. the block has v = 0, and x = +a at t = 0. it first reaches x = 0 when t=t/4, where t is the period of the motion. a) in terms of t, what is the time t when the block first reaches x=a/2?
b) the block has its maximum speed when t=t/4. what is the value of t when the speed of the block first reaches the value vmax/2?

Observations show that interstellar clouds can have almost any shape and

Aspring is used to stop a 50-kg package which is moving down a 20º incline. the spring has a constant k = 30 kn/m and is held by cables so that it is initially compressed 50 mm. knowing that the velocity of the package is 2 m/s when it is 8 m from the spring and neglecting friction, determine the maximum additional deformation of the spring in bringing the package to rest.

4. now look at the green lines you created by connecting the three boiling point data points and the three melting point data points. for each of these lines, describe any trends you see. 5. locate the elements on your periodic table that you circled in green on your graph. what term or description would you use to identify these elements with respect to the periodic table? 7. using the room temperature line (orange line) and your periodic table, make lists that identify the state of matter (gas, liquid, or solid) in which each element you plotted exists at room temperature. explain your answers.