Answer:
g = 12.22 m/s²
Explanation:
The time period of this pendulum is given as follows:
![T = \frac{time\ taken}{no. of cycles}\\\\T = \frac{144\ s}{93}\\\\T = 1.55\ s](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7Btime%5C%20taken%7D%7Bno.%20of%20cycles%7D%5C%5C%5C%5CT%20%3D%20%5Cfrac%7B144%5C%20s%7D%7B93%7D%5C%5C%5C%5CT%20%3D%201.55%5C%20s)
but the formula for the time period of a simple pendulum is as follows:
![T=2\pi \sqrt{\frac{l}{g}}\\](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7Bl%7D%7Bg%7D%7D%5C%5C)
where,
L = length of pednulum = 48 cm = 0.48 m
g = magnitude of th gravitational acceleration on this planet = ?
Therefore,
![1.55\ s=2\pi \sqrt{\frac{0.48\ m}{g}}\\\\\sqrt{g} = 2\pi \sqrt{\frac{0.48\ m}{1.55\ s}}\\\\g = 3.49^{2}\\](https://tex.z-dn.net/?f=1.55%5C%20s%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7B0.48%5C%20m%7D%7Bg%7D%7D%5C%5C%5C%5C%5Csqrt%7Bg%7D%20%3D%202%5Cpi%20%5Csqrt%7B%5Cfrac%7B0.48%5C%20m%7D%7B1.55%5C%20s%7D%7D%5C%5C%5C%5Cg%20%3D%203.49%5E%7B2%7D%5C%5C)
<u>g = 12.22 m/s²</u>
You don't need to do any calculations, you are already given that n=1.5
n is index of refraction. it's 1.5
Answer: Kinetic Energy
Explanation:Kinetic energy is the energy of motion. All moving objects have kinetic energy.
Explanation:
The given data is as follows.
= 0.8 kg/s = 800 g, ![C_{1} = 4.18 J/g^{o}C](https://tex.z-dn.net/?f=C_%7B1%7D%20%3D%204.18%20J%2Fg%5E%7Bo%7DC)
= 1 kg = 1000 g,
= (75 - T),
= T - 25
Now, according to the law of conservation of energy,
![m_{1}C_{1}T_{1} = m_{2}C_{2}T_{2} + mL](https://tex.z-dn.net/?f=m_%7B1%7DC_%7B1%7DT_%7B1%7D%20%3D%20m_%7B2%7DC_%7B2%7DT_%7B2%7D%20%2B%20mL)
+ 30000
250.8 - 3.34T = 4.18T - 104.5 + 30
T = ![\frac{325.3}{7.52}](https://tex.z-dn.net/?f=%5Cfrac%7B325.3%7D%7B7.52%7D)
= ![43.23^{o}C](https://tex.z-dn.net/?f=43.23%5E%7Bo%7DC)
Thus, we can conclude that temperature of the warm water stream is
.