Answer:
(a) T = 0.015 N
(b) M = 1.53 x 10⁻³ kg = 1.53 g
Explanation:
(a) T = 0.015 N
First, we will find the speed of waves:
![v =f\lambda](https://tex.z-dn.net/?f=v%20%3Df%5Clambda)
where,
v = speed of wave = ?
f = frequency = 120 Hz
λ = wavelength = 6 cm = 0.06 m
Therefore,
v = (120 Hz)(0.06 m)
v = 7.2 m/s
Now, we will find the linear mass density of the coil:
![\mu = \frac{m}{l}](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cfrac%7Bm%7D%7Bl%7D)
where,
μ = linear mass density = ?
m = mass = 1.45 g = 1.45 x 10⁻³ kg
l = length = 5 m
Thereforre,
![\mu = \frac{1.45\ x\ 10^{-3}\ kg}{5\ m}\\\\\mu = 2.9\ x\ 10^{-4}\ kg/m](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cfrac%7B1.45%5C%20x%5C%2010%5E%7B-3%7D%5C%20kg%7D%7B5%5C%20m%7D%5C%5C%5C%5C%5Cmu%20%3D%202.9%5C%20x%5C%2010%5E%7B-4%7D%5C%20kg%2Fm)
Now, for the tension we use the formula:
![v = \sqrt{\frac{T}{\mu}}\\\\7.2\ m/s = \sqrt{\frac{T}{2.9\ x\ 10^{-4}\ kg/m}}\\\\(51.84\ m^2/s^2)(2.9\ x\ 10^{-4}\ kg/m) = T](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B%5Cfrac%7BT%7D%7B%5Cmu%7D%7D%5C%5C%5C%5C7.2%5C%20m%2Fs%20%3D%20%5Csqrt%7B%5Cfrac%7BT%7D%7B2.9%5C%20x%5C%2010%5E%7B-4%7D%5C%20kg%2Fm%7D%7D%5C%5C%5C%5C%2851.84%5C%20m%5E2%2Fs%5E2%29%282.9%5C%20x%5C%2010%5E%7B-4%7D%5C%20kg%2Fm%29%20%3D%20T)
<u>T = 0.015 N</u>
<u></u>
(b)
The mass to be hung is:
![T = Mg\\\\M = \frac{T}{g}\\\\M = \frac{0.015\ N}{9.8\ m/s^2}\\\\](https://tex.z-dn.net/?f=T%20%3D%20Mg%5C%5C%5C%5CM%20%3D%20%5Cfrac%7BT%7D%7Bg%7D%5C%5C%5C%5CM%20%3D%20%5Cfrac%7B0.015%5C%20N%7D%7B9.8%5C%20m%2Fs%5E2%7D%5C%5C%5C%5C)
<u>M = 1.53 x 10⁻³ kg = 1.53 g</u>
Answer:
Fluid fricton goes to Static friction and sliding friction goes to rolling friction
Explanation:
Answer:
Explanation:
We shall apply conservation of mechanical energy
kinetic energy of alpha particle is converted into electric potential energy.
1/2 mv² = k q₁q₂/d , d is closest distance
d = 2kq₁q₂ / mv²
= 2 x 9 x 10⁹ x 79e x 2e / 4mv²
= 1422 x2x (1.6 x 10⁻¹⁹)² x 10⁹ /4x 1.67 x 10⁻²⁷ x (1.5 x 10⁷)²
= 3640.32 x 10⁻²⁹ /2x 3.7575 x 10⁻¹³
= 484.4 x 10⁻¹⁶
=48.4 x 10⁻¹⁵ m
Compression and rarefraction, the other guy's answer it's wrong