Answer: Angle 59 degree
Explanation: Given that the
n1 = 1.0
n2 = 1.5
Øi = 35 degree
From Snell law, which says that
n1/n2 = sinØ1/ sinØ2
Substitute all the parameters into the formula
1/1.5 = sin 35/sinØ2
Cross multiply
Sin Ø2 = 1.5 sin35
SinØ2 = 1.5 × 0.573 = 0.860
Ø2 = sin^-1(0.860)
Ø2 = 59.36 degree
Ø2 = 59 degree ( approximately)
It has angle 59 degree when passing from air to glass
Answer:
3g/cm³
Explanation:
<em>Use the formula:</em>
density = mass ÷ volume
<em>Substitute (plug in) the values:</em>
density = 3 ÷ 1 = 3g/cm³
Answer
given,
y(x,t)= 2.20 mm cos[( 7.02 rad/m )x+( 743 rad/s )t]
length of the rope = 1.33 m
mass of the rope = 3.31 g
comparing the given equation from the general wave equation
y(x,t)= A cos[k x+ω t]
A is amplitude
now on comparing
a) Amplitude = 2.20 mm
b) frequency =
![f = \dfrac{\omega}{2\pi}](https://tex.z-dn.net/?f=f%20%3D%20%5Cdfrac%7B%5Comega%7D%7B2%5Cpi%7D)
![f = \dfrac{743}{2\pi}](https://tex.z-dn.net/?f=f%20%3D%20%5Cdfrac%7B743%7D%7B2%5Cpi%7D)
f = 118.25 Hz
c) wavelength
![k= \dfrac{2\pi}{\lambda}](https://tex.z-dn.net/?f=k%3D%20%5Cdfrac%7B2%5Cpi%7D%7B%5Clambda%7D)
![\lambda= \dfrac{2\pi}{k}](https://tex.z-dn.net/?f=%5Clambda%3D%20%5Cdfrac%7B2%5Cpi%7D%7Bk%7D)
![\lambda= \dfrac{2\pi}{7.02}](https://tex.z-dn.net/?f=%5Clambda%3D%20%5Cdfrac%7B2%5Cpi%7D%7B7.02%7D)
![\lambda= 0.895\ m](https://tex.z-dn.net/?f=%5Clambda%3D%200.895%5C%20m)
d) speed
![v = \dfrac{\omega}{k}](https://tex.z-dn.net/?f=v%20%3D%20%5Cdfrac%7B%5Comega%7D%7Bk%7D)
![v = \dfrac{743}{7.02}](https://tex.z-dn.net/?f=v%20%3D%20%5Cdfrac%7B743%7D%7B7.02%7D)
v = 105.84 m/s
e) direction of the motion will be in negative x-direction
f) tension
![T = \dfrac{v^2\ m}{L}](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7Bv%5E2%5C%20m%7D%7BL%7D)
![T = \dfrac{(105.84)^2\times 3.31 \times 10^{-3}}{1.33}](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7B%28105.84%29%5E2%5Ctimes%203.31%20%5Ctimes%2010%5E%7B-3%7D%7D%7B1.33%7D)
T = 27.87 N
g) Power transmitted by the wave
![P = \dfrac{1}{2}m\ v \omega^2\ A^2](https://tex.z-dn.net/?f=P%20%3D%20%5Cdfrac%7B1%7D%7B2%7Dm%5C%20v%20%5Comega%5E2%5C%20A%5E2)
![P = \dfrac{1}{2}\times 0.00331\times 105.84\times 743^2\ 0.0022^2](https://tex.z-dn.net/?f=P%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%200.00331%5Ctimes%20105.84%5Ctimes%20743%5E2%5C%200.0022%5E2)
P = 0.438 W
A.
if you have seen a newton's cradle this will make sense.
in order for both of them to travel at the same speed, the balls need to have the same mass and the speed to begin with tocontinue to travel at the same speed because mass can affect the impact of the force on the balls by each other, causing each ball to have different speeds.