Analyze the data to identify the mathematical relationship between the amplitude and energy of a mechanical wave. If mechanical wave A has an
amplitude of 2 cm and mechanical wave B has an amplitude of 3 cm, what
will be the relationship between the energy carried by the two waves?
Amplitude
Energy
1 unit
2 units
2 units
8 units
3 units
18 units
4 units
32 units
5 units
50 units
O A. Wave A has about 2.5 times more energy than wave B.
OB. Wave A has about 2.25 times more energy than wave B.
O C. Wave B has about 2.25 times more energy than wave A.
O D. Wave A has about 1,5 times more energy than wave B.

Air is held within a frictionless piston-cylinder container, which is oriented vertically. the mass of the piston is 0.45 kg and the cross-sectional area is 0.0030 m2. initially (state 1) the pressure of the gas is sufficient to support the weight of the piston as well as the force exerted by the atmospheric pressure ( 101.32 kpa). the volume occupied by the air within the cylinder in state 1 is 1.00 liter. one end of a spring (with spring constant k = 1000 n/m) is attached to the top of the piston, while the other end of the spring is attached to a stage that can move vertically. initially the spring is undeflected and therefore exerts no force. then the stage is then moved quasistatically downward a distance of 10.0 cm, at which point the system reaches state 2. the piston-cylinder is not insulated; rather it remains in diathermal contact with the surroundings, which are at a constant temperature of 300 k. what is the change of pressure within the container?

The rocket is fired vertically and tracked by the radar station shown. when θ reaches 66°, other corresponding measurements give the values r = 32700 ft, r¨ = 85 ft/sec2, and θ˙ = 0.019 rad/sec. calculate the magnitudes of the velocity and acceleration of the rocket at this position.

How will the system respond to a temperature increase?