Agas is contained in a gas piston-cylinder assembly. the piston mass and crosssectional area are denoted as m and a, respectively. the only force acting on top of the piston is due to atmospheric pressure, patm. assume the piston moves smoothly in the cylinder and the local acceleration of gravity g is constant. - show that the pressure of the gas acting on the bottom of the piston remains constant as gas volume varies. - what would cause the gas volume to vary?

The frequency of vibrations of a vibrating violin string is given by f = 1 2l t ρ where l is the length of the string, t is its tension, and ρ is its linear density.† (a) find the rate of change of the frequency with respect to the following. (i) the length (when t and ρ are constant) (ii) the tension (when l and ρ are constant) (iii) the linear density (when l and t are constant) (b) the pitch of a note (how high or low the note sounds) is determined by the frequency f. (the higher the frequency, the higher the pitch.) use the signs of the derivatives in part (a) to determine what happens to the pitch of a note for the following. (i) when the effective length of a string is decreased by placing a finger on the string so a shorter portion of the string vibrates df dl 0 and l is ⇒ f is ⇒ (ii) when the tension is increased by turning a tuning peg df dt 0 and t is ⇒ f is ⇒ (iii) when the linear density is increased by switching to another string df dρ 0 and ρ is ⇒ f is ⇒

Ryan is examining the energy of the particles in a bar of gold. what is ryan most likely studying?

When measuring volume, why is it important to use the correct tools and units to attain the greatest accuracy? use specific examples from the lab to support your answer. (5 points)