Answer:
Explanation:
Potential energy on the surface of the earth
= - GMm/ R
Potential at height h
= - GMm/ (R+h)
Potential difference
= GMm/ R - GMm/ (R+h)
= GMm ( 1/R - 1/ R+h )
= GMmh / R (R +h)
This will be the energy needed to launch an object from the surface of Earth to a height h above the surface.
Extra energy is needed to get the same object into orbit at height h
= Kinetic energy of the orbiting object at height h
= 1/2 x potential energy at height h
= 1/2 x GMm / ( R + h)
"The process used by scientific investigations is the scientific method. This involves making an observation, stating a question, formulating a hypothesis, conducting an experiment and analyzing the results to form a conclusion. "
I would most likely go with B. but im not 100% sure
We know,
Speed = Frequency * Wavelength
Speed = 3 * 0.1 m/s [hertz = 1/sec.]
So, your final answer is 0.3 m/s
Hope this helps!!
Answer:
a. ![I=2.77x10^{-8} kg*m^2](https://tex.z-dn.net/?f=I%3D2.77x10%5E%7B-8%7D%20kg%2Am%5E2)
b. ![K=4.37 x10^{-6} N*m](https://tex.z-dn.net/?f=K%3D4.37%20x10%5E%7B-6%7D%20N%2Am)
Explanation:
The inertia can be find using
a.
![I = m*r^2](https://tex.z-dn.net/?f=I%20%3D%20m%2Ar%5E2)
![m = 0.95 g * \frac{1 kg}{1000g}=9.5x10^{-4} kg](https://tex.z-dn.net/?f=m%20%3D%200.95%20g%20%2A%20%5Cfrac%7B1%20kg%7D%7B1000g%7D%3D9.5x10%5E%7B-4%7D%20kg)
![r=0.54 cm * \frac{1m}{100cm} =5.4x10^{-3}m](https://tex.z-dn.net/?f=r%3D0.54%20cm%20%2A%20%5Cfrac%7B1m%7D%7B100cm%7D%20%3D5.4x10%5E%7B-3%7Dm)
![I = 9.5x10^{-4}kg*(5.4x10^{-3}m)^2](https://tex.z-dn.net/?f=I%20%3D%209.5x10%5E%7B-4%7Dkg%2A%285.4x10%5E%7B-3%7Dm%29%5E2)
![I=2.77x10^{-8} kg*m^2](https://tex.z-dn.net/?f=I%3D2.77x10%5E%7B-8%7D%20kg%2Am%5E2)
now to find the torsion constant can use knowing the period of the balance
b.
T=0.5 s
![T=2\pi *\sqrt{\frac{I}{K}}](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%2A%5Csqrt%7B%5Cfrac%7BI%7D%7BK%7D%7D)
Solve to K'
![K = \frac{4\pi^2* I}{T^2}=\frac{4\pi^2*2.7702 kg*m^2}{(0.5s)^2}](https://tex.z-dn.net/?f=K%20%3D%20%5Cfrac%7B4%5Cpi%5E2%2A%20I%7D%7BT%5E2%7D%3D%5Cfrac%7B4%5Cpi%5E2%2A2.7702%20kg%2Am%5E2%7D%7B%280.5s%29%5E2%7D)
![K=4.37 x10^{-6} N*m](https://tex.z-dn.net/?f=K%3D4.37%20x10%5E%7B-6%7D%20N%2Am)