Answer:
3.6 x 10^8 V
Explanation:
Q = 4 m C = 4 x 10^-3 C
r = 5 cm = 0.05 m
The formula for the potential at the surface is
Vs = K Q / r = (9 x 10^9 x 4 x 10^-3) / 0.05 = 7.2 x 10^8 V
The formula for the potential at the centre is
Vc = 3/2 Vs
Vc = 1.5 x 7.2 x 10^8 V = 10.8 x 10^8 V
The difference in potential is
V = Vc - Vs = 10.8 x 10^8 - 7.2 x 10^8 = 3.6 x 10^8 V
Answer:
the tension of the rope is 34.95 N
Explanation:
Given;
length of the rope, L = 3 m
mass of the rope, m = 0.105 kg
frequency of the wave, f = 40 Hz
wavelength of the wave, λ = 0.79 m
Let the tension of the rope = T
The speed of the wave is given as;
![v = f\lambda = \sqrt{\frac{T}{\mu} } \\\\where;\\\\\mu \ is \ mass \ per \ unit \ length\\\\\mu = \frac{0.105}{3} = 0.035 \ kg/m\\\\v = f\lambda = 40 \times 0.79 = 31.6 \ m/s\\\\v = \sqrt{\frac{T}{\mu} } \\\\v^2 = \frac{T}{\mu} \\\\T = v^2 \mu\\\\T = (31.6^2)(0.035)\\\\T = 34.95 \ N](https://tex.z-dn.net/?f=v%20%3D%20f%5Clambda%20%3D%20%5Csqrt%7B%5Cfrac%7BT%7D%7B%5Cmu%7D%20%7D%20%5C%5C%5C%5Cwhere%3B%5C%5C%5C%5C%5Cmu%20%5C%20is%20%5C%20mass%20%5C%20per%20%5C%20unit%20%5C%20length%5C%5C%5C%5C%5Cmu%20%20%3D%20%5Cfrac%7B0.105%7D%7B3%7D%20%3D%200.035%20%5C%20kg%2Fm%5C%5C%5C%5Cv%20%3D%20f%5Clambda%20%3D%2040%20%5Ctimes%200.79%20%3D%2031.6%20%5C%20m%2Fs%5C%5C%5C%5Cv%20%3D%20%20%5Csqrt%7B%5Cfrac%7BT%7D%7B%5Cmu%7D%20%7D%20%5C%5C%5C%5Cv%5E2%20%3D%20%5Cfrac%7BT%7D%7B%5Cmu%7D%20%5C%5C%5C%5CT%20%3D%20v%5E2%20%5Cmu%5C%5C%5C%5CT%20%3D%20%2831.6%5E2%29%280.035%29%5C%5C%5C%5CT%20%3D%2034.95%20%5C%20N)
Therefore, the tension of the rope is 34.95 N
Kinetic energy is the energy an object has because of its motion. ... After work has been done, energy has been transferred to the object, and the object will be moving with a new constant speed. The energy transferred is known as kinetic energy, and it depends on the mass and speed achieved.
If you are in this kind of geographical scenery, you must be on a surfing beach in California. The Californian coastline is characterized by a numerous number of beaches that are mainly sandy and features major rivers such as the Sacramento River and the Colorado River.
Answer:
Explanation: "Warming up and cooling down are good for your exercise performance — you’ll do better, faster, stronger — and for your heart since the increased work on the heart ‘steps up’ with exercise,” said Richard Stein, M.D., professor of cardiology.