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Why does your hair stand on end when you touch a Van de Graaff generator?

This is all down to static electricity. Inside the Van de Graaff generator, there is a rubber band and rollers. As they are electrically insulated, when the motor turns they rub together and electrons are 'k...
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Answered by Tom W. • Physics tutor
82974 Views

What is the largest possible length of a pole you could fit in a room?

Lets say you are in a cubical grain silo, with a height of 12m, and a base with dimensions 3m by 4m. If you wanted to fit a pole in the silo, what is the largest possible length of the pole? The length we ar...
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Answered by Tom W. • Maths tutor
6412 Views

How do you find the equation of a line at a given point that is tangent to a circle?

This question may start by giving you an equation, which you need to write in the form of the standard equation of a circle (usually by completing the square). This allows you to see the centre of the circle...
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Answered by Tom W. • Maths tutor
5217 Views

What's the integral of x^2 +3/x, with respect to x?

A: x 3 /3 + 3ln(x) + A. Step-by-step solution: Integral (x 2 +3/x dx) = [as integrals preserve sums] integral (x 2 dx) + integral (3/x dx) = [raise exponent by one, multiply by the reciprocal, add a constant...
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Answered by Marco G. • Maths tutor
5663 Views

What's the inverse of the function f=x+2?

If we apply a function and then its inverse, we should get back to where we started. Suppose we start with an element x. If we apply f to it, we get to x+2. In order to get back to where we started (i.e. x),...
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Answered by Marco G. • Maths tutor
4736 Views