Consider a mass m on the end of a spring of force constant k and constrained to move along the horizontal x axis. if we place the origin at the spring's equilibrium position, the potential energy is 2 kx 2 . at time t = 0 the mass is sitting at the origin and is given a sudden kick to the right so that it moves out to a maximum displacement at x max= a and then continues to oscillate about the origin.

(a) write down the equation for conservation of energy and solve it to give the mass's velocity x in terms of the position x and the total energy e.
(b) show that e = 2ka2 , and use this to eliminate e from your expression for x'
(c) solve the result of part (b) to give x as a function of t and show that the mass executes simple harmonic motion with period 27,/m1k.

What is meant by the statement" the melting poin of glycerine is 13 degree celsius

When temperature of a substance increases, of its particles increase resulting in more between particles. real world applications of thermal expansion absolute zero (-273 degrees c) is the lowest possible temperature on the kelvin scale. it is a measure of where a substance has no kinetic energy. heat is a process of the . energy flows spontaneously from a object to a until equilibrium is reached. heat is measured in heat is transferred throughis a method of heat transfer that occurs between particles of matter that are in direct contact with each other. are poor conductors that impede / reduce the rate of heat transfer. is a method of heat transfer that occurs in fluids (non-solids) by means of currents. real world application of convectiona method of heat transfer through electromagnetic waves. when energy moves from one object to another inside a closed system, no energy is or in the system in the transaction. systems will spontaneously move to a state of organized energy or high disorder over time called

Often called simply "velocity," this is the velocity of an object at a particular moment in time.