Answer:
B
Explanation:
nothing to do with black holes creating star or related
<span>3.78 m
Ignoring resistance, the ball will travel upwards until it's velocity is 0 m/s. So we'll first calculate how many seconds that takes.
7.2 m/s / 9.81 m/s^2 = 0.77945 s
The distance traveled is given by the formula d = 1/2 AT^2, so substitute the known value for A and T, giving
d = 1/2 A T^2
d = 1/2 9.81 m/s^2 (0.77945 s)^2
d = 4.905 m/s^2 0.607542 s^2
d = 2.979995 m
So the volleyball will travel 2.979995 meters straight up from the point upon which it was launched. So we need to add the 0.80 meters initial height.
d = 2.979995 m + 0.8 m = 3.779995 m
Rounding to 2 decimal places gives us 3.78 m</span>
First, we convert kcal to joules:
1 kcal = 4.184 kJ
475 kcal = 1987.4 kJ
Now, calculating the change in internal energy:
ΔU = Q + W; where Q is the heat supplied to the system and W is the work done on the system.
ΔU = -500 + 1987.4
ΔU = 1487.4 kJ
Answer:
The lowest possible frequency of sound is 971.4 Hz.
Explanation:
Given that,
Distance between loudspeakers = 2.00 m
Height = 5.50 m
Sound speed = 340 m/s
We need to calculate the distance
Using Pythagorean theorem
![AC^2=AB^2+BC^2](https://tex.z-dn.net/?f=AC%5E2%3DAB%5E2%2BBC%5E2)
![AC^2=2.00^2+5.50^2](https://tex.z-dn.net/?f=AC%5E2%3D2.00%5E2%2B5.50%5E2)
![AC=\sqrt{(2.00^2+5.50^2)}](https://tex.z-dn.net/?f=AC%3D%5Csqrt%7B%282.00%5E2%2B5.50%5E2%29%7D)
![AC=5.85\ m](https://tex.z-dn.net/?f=AC%3D5.85%5C%20m)
We need to calculate the path difference
Using formula of path difference
![\Delta x=AC-BC](https://tex.z-dn.net/?f=%5CDelta%20x%3DAC-BC)
Put the value into the formula
![\Delta x=5.85-5.50](https://tex.z-dn.net/?f=%5CDelta%20x%3D5.85-5.50)
![\Delta x=0.35\ m](https://tex.z-dn.net/?f=%5CDelta%20x%3D0.35%5C%20m)
We need to calculate the lowest possible frequency of sound
Using formula of frequency
![f=\dfrac{nv}{\Delta x}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7Bnv%7D%7B%5CDelta%20x%7D)
Put the value into the formula
![f=\dfrac{1\times340}{0.35}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7B1%5Ctimes340%7D%7B0.35%7D)
![f=971.4\ Hz](https://tex.z-dn.net/?f=f%3D971.4%5C%20Hz)
Hence, The lowest possible frequency of sound is 971.4 Hz.