To solve this problem, we know that:
1 Albert = 88 meters
1 A = 88 m
The first thing we have to do is to square both sides of
the equation:
(1 A)^2 = (88 m)^2
1 A^2 = 7,744 m^2
<span>Since it is given that 1 acre = 4,050 m^2, so to reach
that value, 1st let us divide both sides by 7,744:</span>
1 A^2 / 7,744 = 7,744 m^2 / 7,744
(1 / 7,744) A^2 = 1 m^2
Then we multiply both sides by 4,050.
(4050 / 7744) A^2 = 4050 m^2
0.523 A^2 = 4050 m^2
<span>Therefore 1 acre is equivalent to about 0.52 square
alberts.</span>
Answer:
Weight (mass) = 16.5 kg
velocity = 0 m/a
acceleration =2.6 m/s^2
displacement = 13.2m
now,
acceleration = velocity/ time
2.6 = 0 / t
t = o / 2.6
t = o
Answer:
The phase difference is ![\Delta \phi = 180^o](https://tex.z-dn.net/?f=%5CDelta%20%5Cphi%20%20%3D%20180%5Eo)
Explanation:
From the question we are told that
The distance between the slits is
The distance to the screen is ![D = 100 cm = \frac{100}{100} = 1 \ m](https://tex.z-dn.net/?f=D%20%3D%20100%20cm%20%3D%20%5Cfrac%7B100%7D%7B100%7D%20%3D%201%20%5C%20m)
The wavelength is ![\lambda = 400nm](https://tex.z-dn.net/?f=%5Clambda%20%3D%20400nm)
The distance of the wave from the central maximum is ![L = 5mm = 5*10^{-3} m](https://tex.z-dn.net/?f=L%20%3D%20%205mm%20%3D%205%2A10%5E%7B-3%7D%20m)
Generally the path difference of this waves is mathematically represented as
![y = d sin \theta](https://tex.z-dn.net/?f=y%20%3D%20d%20sin%20%5Ctheta)
Here
is the angle between the the line connecting the mid-point of the slits with the screen and the line connecting the mid-point of the slits to the central maximum
This implies that
![tan \theta = \frac{L}{D}](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%20%3D%20%5Cfrac%7BL%7D%7BD%7D)
=> ![\theta = tan ^{-1} \frac{L}{D}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20tan%20%5E%7B-1%7D%20%5Cfrac%7BL%7D%7BD%7D)
![\theta = tan ^{-1} [\frac{5*10^{-3}}{1}]](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20tan%20%5E%7B-1%7D%20%5B%5Cfrac%7B5%2A10%5E%7B-3%7D%7D%7B1%7D%5D)
![\theta =0.2865](https://tex.z-dn.net/?f=%5Ctheta%20%3D0.2865)
Substituting values into the formula for path difference
The phase difference is mathematically represented as
![\Delta \phi = \frac{2 \pi }{\lambda } * y](https://tex.z-dn.net/?f=%5CDelta%20%5Cphi%20%3D%20%5Cfrac%7B2%20%5Cpi%20%7D%7B%5Clambda%20%7D%20%20%2A%20y)
Substituting values
![\Delta \phi =5 \pi](https://tex.z-dn.net/?f=%5CDelta%20%5Cphi%20%3D5%20%5Cpi)
Converting to degree
the solution is subtracted by 360° in order to get the actual angle
The dog’s speed is
A) 0.61 m/s