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How would I derive Kepler's third law from Newton's law of gravitation and the equations of circular motion?

Kepler's third law states that the square of the period of the orbit is directly proportional to the cube of the radius of the orbit (T^2=kr^3) where r is some constant to be determined. This can be determin...
MW
Answered by Matthew W. • Physics tutor
10676 Views

How would I find the approximate area enclosed by the expression e^x*sin(x)*x^3 on an infinite scale?

The area under a curve is analytically calculated using the integral of the function. The integral of the function above could be calculated using integration by parts twice, considering that 3 functions are...
MW
Answered by Matthew W. • Maths tutor
3691 Views

In transition metals, where does the formation of colour come from?

The answer for this stems from the very definition of what a transition metal is: a metal that can form one or more stable ions with partially filled d-subshell. The partially fill d-subshell part is crucial...
CW
Answered by Charles W. • Chemistry tutor
4072 Views

What is the difference between form and structure?

At first thought, the difference between form and structure can seem very fine, and it may be that at times they overlap, but there is certainly a difference. Form is concerned with ideas of genre that surro...
AS
136163 Views

Can you explain where the "Integration by parts" formula comes from?

Sure. If you remember how to calculate d/dx(uv) then you can understand how integration by parts works. d/dx(uv) = u(dv/dx) + v(du/dx). we can re-arrange this: u(dv/dx) = d/dx(uv) - v(du/dx). Now integrating...
CF
Answered by Christian F. • Maths tutor
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