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It must firstly be noted that, in general, the work done on an object is equal to its gain in energy.The trolley has gained kinetic energy. This can be calculated using the formula: "KE = (1/2)mv^2&q...

When differentiating cos inverse x, the typical method is to make y equal to cos inverse x.By taking cos of both sides: x = cosy.You can then differentiate with respect to y, obtaining that: (dx/dy) = - s...

(sinx)^2 (similarly to (cosx)^2) cannot be integrated in this form. There is a standard method to get past this though, which makes use of the cos double angle formula:cos(2x) = (cosx)^2 - (sinx)^2       ...

1. First look at the constant coefficient, which in this case is 2. You need two numbers which will multiply together to make this number. The only pairs of numbers that will make 2, are (1 and 2) or (...

First pick a set of axis to use. This would be in the directions of which the majority of the forces follow. With the forces which are at angles to the majority of the forces, create a triangle of the ...