A 1024 Hz tuning fork is used to obtain a series of resonance levels in a gas column of variablelength, with one end closed and the other open. The length of the column changes by 20 cmfrom resonance to resonance. From this data, the speed of sound in this gas is

Let v1, v2, w be three linearly independent vectors in r 3 . that is, they do not all lie on the same plane. for each of the following (infinite) set of vectors, carefully sketch it in r 3 , and determine whether or not it is a vector space (i. e., a subspace of r 3 ). explain your reasoning

Two masses are connected by a rope that hangs over a pulley as shown below. the pulley is a uniform cylinder of radius 푅=0.381meters and mass 푀=3.1푘푔. initially 푚"is on the ground and 푚#rests 2.5 meters above the ground. if the system is released, use conservation of energy to determine the speed of 푚#just before it strikes the ground. assume the pulley bearing is frictionless.

The process of a material going through a change of state from a gas to a liquid