Answer:
I = 9.82 10⁻⁷ W / m²
Explanation:
The intensity of the sound wave is the energy of the wave between the order per unit area of the same
I = P / A = E / T A
the energy is calculated by integrating the mechanical energy in a period, where the mass is changed by the density and ‘s’ is the amplitude of the sound wave
I = ½ ρ v (w s)²
I = ½ 1.35 328 (2π 530 2.00 10⁻⁸)²
I = 221.4 (4.435 10⁻⁹)
I = 9.82 10⁻⁷ W / m²
The acceleration of gravity (on Earth) is 9.8 m/s² downward.
This means that every falling object gains 9.8 m/s more downward speed
every second that it falls.
In 5 seconds of falling, it gains (5 x 9.8 m/s) = 49 m/s of downward speed.
If it was already descending at 2.0 m/s at the beginning of the 5 sec,
then at the end of the 5 sec it would be descending at
(2 m/s + 49 m/s) = 51 m/s .
Answer:
2805 °C
Explanation:
If the gas in the tank behaves as ideal gas at the start and end of the process. We can use the following equation:
The key issue is identify the quantities (P,T, V, n) in the initial and final state, particularly the quantities that change.
In the initial situation the gas have an initial volume , temperature , and pressure ,.
And in the final situation the gas have different volume and temeperature , the same pressure ,, and the same number of moles ,.
We can write the gas ideal equation for each state:
and , as the pressure are equals in both states we can write
solving for
(*)
We know = 935 °C, and that the (the complete volume of the tank) is the initial volume plus the part initially without gas which has a volume twice the size of the initial volume (read in the statement: the other side has a volume twice the size of the part containing the gas). So the final volume
Replacing in (*)
Answer:
c. Kinetic energy
Explanation:
The two types of energy involved in this problem are:
- Potential energy: it is the energy possessed by an object due to its position. It is calculated as
where
m is the mass of the object
g is the acceleration due to gravity
h is the height of the object relative to the ground
From the formula, we see that the higher the object is above the ground (higher h), the larger the potential energy of the object. In this problem, the pig is falling down, so the value of h is decreasing, therefore the potential energy is decreasing as well.
- Kinetic energy: it is the energy possessed by an object due to its motion. It is given by:
where
m is the mass of the object
v is its speed
In this problem, as the pig falls down, it accelerates, so its speed increases: since the kinetic energy is proportional to the square of the speed, as the speed increases, its kinetic energy increases too. So, the correct answer is
c. Kinetic energy