If one of the variables is changed, that tells nothing about what happens to the other one, or IF anything happens, or when, or how long it lasts. Because they are UN-RELATED. You just said so yourself.
None of the choices says this.
Answer:
![v = 186.90\,\frac{m}{s}](https://tex.z-dn.net/?f=v%20%3D%20186.90%5C%2C%5Cfrac%7Bm%7D%7Bs%7D)
Explanation:
The motion of ballistic pendulum is modelled by the appropriate use of the Principle of Energy Conservation:
![\frac{1}{2}\cdot (m_{p}+m_{b})\cdot v^{2} = (m_{p}+m_{b})\cdot g \cdot h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%28m_%7Bp%7D%2Bm_%7Bb%7D%29%5Ccdot%20v%5E%7B2%7D%20%3D%20%28m_%7Bp%7D%2Bm_%7Bb%7D%29%5Ccdot%20g%20%5Ccdot%20h)
The final velocity of the system formed by the ballistic pendulum and the bullet is:
![v = \sqrt{2\cdot g\cdot h}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B2%5Ccdot%20g%5Ccdot%20h%7D)
![v = \sqrt{2\cdot (9.807\,\frac{m}{s^{2}} )\cdot (0.031\,m)}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B2%5Ccdot%20%289.807%5C%2C%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%20%29%5Ccdot%20%280.031%5C%2Cm%29%7D)
![v\approx 0.78\,\frac{m}{s}](https://tex.z-dn.net/?f=v%5Capprox%200.78%5C%2C%5Cfrac%7Bm%7D%7Bs%7D)
Initial velocity of the bullet can be calculated from the expression derived of the Principle of Momentum:
![(0.0101\,kg)\cdot v = (2.41\,kg + 0.0101\,kg)\cdot (0.78\,\frac{m}{s} )](https://tex.z-dn.net/?f=%280.0101%5C%2Ckg%29%5Ccdot%20v%20%3D%20%282.41%5C%2Ckg%20%2B%200.0101%5C%2Ckg%29%5Ccdot%20%280.78%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%20%29)
![v = 186.90\,\frac{m}{s}](https://tex.z-dn.net/?f=v%20%3D%20186.90%5C%2C%5Cfrac%7Bm%7D%7Bs%7D)
Answer:
True
Explanation:
Matter can be in the form of a particle or a wave. This is known as the dual nature of matter. This concept was proposed by Louis de Broglie and was named after him. This phenomenon has been observed for all the elementary particles.
The de Broglie wavelength is given by
![\lambda=\frac{h}{p}=\frac{h}{mv}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7Bh%7D%7Bp%7D%3D%5Cfrac%7Bh%7D%7Bmv%7D)
Where
h = Planck's constant
p = Particles momentum
m = Mass of particle
v = Velocity of particle
Answer:
Power will be 0.2023 watt
And when amplitude is halved then power will be 0.0505 watt
Explanation:
We have given mass of the Piano wire m = 2.60 gram = 0.0026 kg
Length of wire l = 84 cm = 0.84 m
So mass density ![\mu =\frac{m}{l}=\frac{0.0026}{0.84}=0.0031kg/m](https://tex.z-dn.net/?f=%5Cmu%20%3D%5Cfrac%7Bm%7D%7Bl%7D%3D%5Cfrac%7B0.0026%7D%7B0.84%7D%3D0.0031kg%2Fm)
Tension in the wire T = 25 N
Frequency f = 120 Hz
So angular frequency ![\omega =2\pi f=2\times 3.14\times 120=753.6rad/sec](https://tex.z-dn.net/?f=%5Comega%20%3D2%5Cpi%20f%3D2%5Ctimes%203.14%5Ctimes%20120%3D753.6rad%2Fsec)
And amplitude A = 1.6 mm = 0.0016 m
We have to find the generated power
Power is given by ![P=\frac{1}{2}\sqrt{\mu T}\omega ^2A^2=\frac{1}{2}\times \sqrt{0.0031\times 25}\times 753.6^2\times 0.0016^2=0.2023watt](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B1%7D%7B2%7D%5Csqrt%7B%5Cmu%20T%7D%5Comega%20%5E2A%5E2%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Csqrt%7B0.0031%5Ctimes%2025%7D%5Ctimes%20753.6%5E2%5Ctimes%200.0016%5E2%3D0.2023watt)
From the relation we can see that power ![P\ \propto\ A^2](https://tex.z-dn.net/?f=P%5C%20%5Cpropto%5C%20A%5E2)
So if amplitude is halved then power will be
times
So power will be equal to ![\frac{0.2023}{2}=0.0505watt](https://tex.z-dn.net/?f=%5Cfrac%7B0.2023%7D%7B2%7D%3D0.0505watt)
Answer:
i want to say flip the coins but im not really sure sry
Explanation: