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calculate the resistivity in a 1.2m length of cylindrical wire with radius 1cm. The resistance of the wire is 0.01 kilo Ohms

The primary equation in this calculation is rho = RA/L Where rho is resistivity, A is cross sectional area, L is length, and R is resistance The resistance and length are given in the question. Resistance ho...
CS
Answered by Calum S. • Physics tutor
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What is the first derivative of y=5z(1+2z2)? Is this a minimum, maximum or turning point?

You should not be put off by the algebraic letters used, substituting x's for z's is absolutely fine. For the first part of the question, since the equation involves the product of two terms, there are two w...
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Answered by Tom R. • Maths tutor
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'Referendums should be legally binding in the United Kingdom.' Discuss.

Referendums are a form of direct democracy that are currently advisory in the UK - the government can therefore choose to ignore the majority outcome. In terms of enhancing democracy, there are several lines...
TR
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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,...
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Answered by Calum S. • Maths tutor
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