Answer:
The friction of the string and its pivotal anchor point cannot be eliminated. The precise measurement of the length of the pendulum is difficult to take by using meter sticks or rulers. The value of the acceleration due to gravity g in the locality is not constant and must be obtained from reliable sources.
Increasing
Explanation:
If a ship is moving forward and has a positive acceleration, we can say that the velocity of the ship is increasing.
Velocity is the rate of change of displacement of a body with time.
Acceleration is the rate of change of velocity with time.
Acceleration = ![\frac{change in velocity }{time}](https://tex.z-dn.net/?f=%5Cfrac%7Bchange%20in%20velocity%20%7D%7Btime%7D)
If a ship is moving with positive acceleration, the velocity of the ship is increasing also.
- This is because when velocity is increasing, the change will be positive.
- From the equation, to have positive velocity, the final velocity must be greater than the initial one.
- With this, acceleration will be positive.
- So we can say, velocity of the ship is increasing.
learn more:
Acceleration brainly.com/question/3820012
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Answer:
Explanation:
A mass of 700 kg will exert a force of
700 x 9.8
= 6860 N.
Amount of compression x = 4 cm
= 4 x 10⁻² m
Force constant K = force of compression / compression
= 6860 / 4 x 10⁻²
= 1715 x 10² Nm⁻¹.
Let us take compression of r at any moment
Restoring force by spring
= k r
Force required to compress = kr
Let it is compressed by small length dr during which force will remain constant.
Work done
dW = Force x displacement
= -kr -dr
= kr dr
Work done to compress by length d
for it r ranges from 0 to -d
Integrating on both sides
W = ![\int\limits^{-4}_0 {kr} \, dr](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B-4%7D_0%20%7Bkr%7D%20%5C%2C%20dr)
= [ kr²/2]₀^-4
= 1/2 kX16X10⁻⁴
= .5 x 1715 x 10² x 16 x 10⁻⁴
= 137.20 J
Answer:
c. 2 m/s
Explanation:
The relationship between speed, frequency and wavelength of a wave is given by:
![v=f \lambda](https://tex.z-dn.net/?f=v%3Df%20%5Clambda)
where
v is the speed of the wave
f is its frequency
is the wavelength
For the transverse wave in this problem, we have:
is the frequency
is the wavelength
Substituting these numbers into the equation, we find the speed of the wave:
![v=(4 Hz)(0.5 m)=2 m/s](https://tex.z-dn.net/?f=v%3D%284%20Hz%29%280.5%20m%29%3D2%20m%2Fs)
Answer:
![E=576.5V/m](https://tex.z-dn.net/?f=E%3D576.5V%2Fm)
Explanation:
From the question we are told that:
Length ![l=56.0cm=0.56m](https://tex.z-dn.net/?f=l%3D56.0cm%3D0.56m)
Distance apart ![d=7.0mm=0.007m](https://tex.z-dn.net/?f=d%3D7.0mm%3D0.007m)
Electron Transferred ![n=10^{-10}](https://tex.z-dn.net/?f=n%3D10%5E%7B-10%7D)
Therefore
Total Charge
Since Charge on each electron is
![e=1.602*10^{-19}](https://tex.z-dn.net/?f=e%3D1.602%2A10%5E%7B-19%7D)
Therefore
![T=1.602*10^{-19} *10^{10}](https://tex.z-dn.net/?f=T%3D1.602%2A10%5E%7B-19%7D%20%2A10%5E%7B10%7D)
![T=1.602*10^{-9}](https://tex.z-dn.net/?f=T%3D1.602%2A10%5E%7B-9%7D)
Generally the equation for Charge density is mathematically given by
![\rho=T/A](https://tex.z-dn.net/?f=%5Crho%3DT%2FA)
Where
Area
![A=0.56*0.56](https://tex.z-dn.net/?f=A%3D0.56%2A0.56)
![A=0.3136](https://tex.z-dn.net/?f=A%3D0.3136)
Therefore
![\rho=1.602*10^{-9}/0.3136](https://tex.z-dn.net/?f=%5Crho%3D1.602%2A10%5E%7B-9%7D%2F0.3136)
![\rho=5.10*10^{-9}](https://tex.z-dn.net/?f=%5Crho%3D5.10%2A10%5E%7B-9%7D)
Generally the equation for Electric Field in the capacitor is mathematically given by
![E=\frac{\rho}{e_0}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B%5Crho%7D%7Be_0%7D)
![E=\frac{5.10*10^{-9}}{8.85x10{-12}}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B5.10%2A10%5E%7B-9%7D%7D%7B8.85x10%7B-12%7D%7D)
![E=576.5V/m](https://tex.z-dn.net/?f=E%3D576.5V%2Fm)