Answer:
(a) The ratio of the pressure amplitude of the waves is 43.21
(b) The ratio of the intensities of the waves is 0.000535
Explanation:
Given;
density of gas, = 2.27 kg/m³
density of liquid, = 972 kg/m³
speed of sound in gas, = 376 m/s
speed of sound in liquid, = 1640 m/s
The of the sound wave is given by;
Where;
is the pressure amplitude
(b) when the pressure amplitudes are equal, the ratio of the intensities is given as;
Answer: v = 0.6 m/s
Explanation: <u>Momentum</u> <u>Conservation</u> <u>Principle</u> states that for a collision between two objects in an isolated system, the total momentum of the objects before the collision is equal to the total momentum of the objects after the collision.
Momentum is calculated as Q = m.v
For the piñata problem:
Before the collision, the piñata is not moving, so .
After the collision, the stick stops, so .
Rearraging, we have:
Substituting:
0.6
Immediately after being cracked by the stick, the piñata has a swing speed of 0.6 m/s.