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The LHC accelerates protons to a speed of 0.999999991c around a 27km ring. Due to relativistic effects, their mass increases. Given that the magnetic fields used are 8T, calculate this mass. What is the total energy of an LHC beam containing 3e14 protons?

Balancing the centripetal force mv^2/r with the force experienced due to motion in a magnetic field qvB: m = qBr/v = qBC/2piv (C circumference). Putting in numbers: m = 1.83e-23 kg (~11,000 mass of proton at...
TD
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integrate function (x^4+3x)/(x^2) with respect to x

split the integral into (x^4)/(x^2) and (3x)/(x^2) which becomes x^2 and 3*(1/x). These can now be integrated separately and added together after the integration. first integral: raise the power form 2 to 3,...
CS
Answered by Calum S. • Maths tutor
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There are a number of correspondences in the form of letters between key characters in Austen's novel Pride and Prejudice. Discuss the importance of these letters in relation to the development of plot and character.

The overarching plot of ‘Pride and Prejudice’ is defined by the constantly fluctuating relationships between characters. Such rapid changes often require the author to substitute character depth in favour of...
AM
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How do you conjugate the passé composé in French and what is it used for?

The passé composé (sometimes called the perfect tense) is used to describe an action in the past which has finished. In order to form this tense there are three parts of the verb-the subject, the auxilary an...
HW
Answered by Hannah W. • French tutor
3702 Views

How does Roy tell the story in Chapter 9? (taken from the 2015 AQA English Literature A Level paper, regarding "The God of Small Things" by Arundhati Roy)

What is particularly striking in Chapter 9 of "The God of Small Things" is Arundhati Roy’s narrative technique. She tells the story by merging several different, discernible voices, providing the r...
RJ
Answered by Rini J. • English tutor
5096 Views