Answer:

Explanation:
From the question we are told that:
Time 
Angular displacement
Final Angular velocity 
Let
Angular acceleration
Generally the equation for Initial Angular velocity
is mathematically given by


Also,Initial Angular velocity
is mathematically given by

Therefore substitution






Substitution in the 2nd equation for Initial Angular velocity 


Answer:
C = - 1.625 i + 6.06 j
Explanation:
Positive angles are measured counterclockwise.
Positive angles are measured counterclockwise. To determine the component on the x axis we use the cosine of the angle while to determine the component on the y axis we use the sine of the angle.

C = - 1.625 i + 6.06 j
The total mass of the mixture is 250g
And the mass of the sand is 150 g
So...
250 - 150 = Mass of iron fillings
100g = Mass of the iron fillings
Answer:
C = (7 + 8) i + (5 - 1) j adding vectors
C = 15 i + 4 j
theta = arctan (4 / 15) = 14.9 deg
Note that this is the same as adding x and y components
The resolution of a microscope is the distance with the shortest measurement between two different points given a specimen with the premise that it can still be seen clearly or distinguished by the one looking through the microscope. It can be calculate from the ratio of the wavelength of the light and twice the numerical aperture or the refractive index of the lens. Most of the microscopes have a numerical aperture ranging from 1.2 to 1.4. Resolution and the numerical aperture are indirectly proportional so that as the aperture increases the resolution would decrease. We calculate as follows:
<span>Resolution = wavelength / ((2) (numerical aperture))
Resolution = 500 nm / (2 ) ( 1.25) = 200 nm = 0.2 um</span>