Answer:
The critical angle for the liquid when surrounded by air is 30 degrees.
Explanation:
Given that,
The angle of incidence is 33.5° and the angle of refraction is 19.3°. Firstly, we can find the refractive index of the liquid. It can be calculated using Snell's law as :

The critical angle is given by :

Here,
is refractive index of air and
is refractive index of liquid.

So, the critical angle for the liquid when surrounded by air is 30 degrees.
Answer:
The workdone by Jack is 
The workdone by Jill is 
The final velocity is 
Explanation:
From the question we are given that
The mass of the boat is 
The initial position of the boat is 
The Final position of the boat is 
The Force exerted by Jack 
The Force exerted by Jill 
Now to obtain the displacement made we are to subtract the final position from the initial position


Now that we have obtained the displacement we can obtain the Workdone
which is mathematically represented as
The amount of workdone by jack would be

![= [(-420\r i +0\r j +210\r k)(2\r i + 0\r j - \r k)]](https://tex.z-dn.net/?f=%3D%20%5B%28-420%5Cr%20i%20%2B0%5Cr%20j%20%2B210%5Cr%20k%29%282%5Cr%20%20i%20%2B%200%5Cr%20j%20-%20%5Cr%20k%29%5D)



The amount of workdone by Jill would be

![= [(180 \r i + 0\r j + 360\r k)(2\r i +0\r j -\r k)]](https://tex.z-dn.net/?f=%3D%20%5B%28180%20%5Cr%20i%20%2B%200%5Cr%20j%20%2B%20360%5Cr%20k%29%282%5Cr%20i%20%2B0%5Cr%20j%20-%5Cr%20k%29%5D)


According to work energy theorem the Workdone is equal to the kinetic energy of the boat
![W = K.E = \frac{1}{2} m *[v^2 - (1.1)^2]](https://tex.z-dn.net/?f=W%20%3D%20K.E%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20m%20%2A%5Bv%5E2%20-%20%281.1%29%5E2%5D)
![-1050 = 0.5*3300 [*v^2- (1.1)^2]](https://tex.z-dn.net/?f=-1050%20%20%3D%200.5%2A3300%20%5B%2Av%5E2-%20%281.1%29%5E2%5D)
![-1050 = 1650 [v^2 -1.21]](https://tex.z-dn.net/?f=-1050%20%3D%201650%20%5Bv%5E2%20-1.21%5D)




Speed v = initial speed u + acceleration a x time t
v=u+at = 2 + 4*3 = 14 m/s
Permanent magnets are important for their industrial uses especially when it comes to power generation and electric motors. The induction process for turbines and generators needs permanent magnets to turn mechanical motion into energy.
Exposing magnetized magnets to opposing external fields produces a demagnetizing effect. This effect is most apparent in permanent magnet materials having a non-linear demagnetization curve, such as Alnico. ... Other factors such as SHOCK and VIBRATION have very little effect on today's permanent magnet materials.
Answer:
intensity of the light that emerges from the three filters is 560.80 W/m²
Explanation:
Given data
intensity I = 1375 W/m2
angle 1 = 31.0°
angle 2 = 41.0°
to find out
intensity of the light that emerges from the three filters
solution
we know intensity of light pass 1st polarize = I/2 = 1375 / 2 = 687.5 W/m2
so intensity after 2nd polarize pass = I 1st cos²(θ)
I 2nd = 687.5 cos²(31) = 687.5 ( 0.836754) = 575.27 W/m2
and
intensity after 3rd polarize pass = I 2nd cos²(θ)
I 3rd = 575.27 cos²(41) = 575.27 (0.974839) = 560.80 W/m2
so that intensity of the light that emerges from the three filters is 560.80 W/m²