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At first this question can seem confusing, but by breaking it down we can better understand what we are being asked to do. Firstly, we need to recall le Chatelier's principle - that an equalibrium will sh...

The doppler effect is the change in frequency and wavelength of waves coming from a wave source moving relative to you. If a wavesource is stationary then the waves in all directions all have the same fre...

The forces should be resolved in two directions: parallel to the plane, and perpendicular to the plane. Friction will act parallel to the plane (up the slope), and the normal force wil act perpendicular t...

sin(60◦) = √3 /2 

tan(60◦) = √3

6sin(60◦) + 5tan(60◦) = 3√3 + 5√3 = 8√3 = √64√3 = √192

First substiute sin(theta) = x (This step is not nesecessary but often people find quadratics easier to solve in variables that they usually use). Then due to the fact that the "b" coefficient i...