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Steel has a density of 8030kg/m^3. Show that a steel ball with a diameter of 5cm weighs approximately 5N

Using Weight = mass*gravitational strength Using: Mass = density * volume Using Volume = (4/3) pi r 3 Radius = 2.5cm = 0.025m Volume = (4/3) pi 0.025 3 = 0.00006544 m 3 (to 4 siginificant figures) Mass = 803...
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Answered by Sameh H. Physics tutor
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Generate an array of integers from 0 to 99 and split it into two smaller arrays. Each smaller array will contain half of the original.

Import numpy originalArray = numpy.range(100) split1 = originalArray[:len(originalArray)/2] #The use of a :X as an index into an array means that you want all values from the start to the Xth value split2 = ...
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Answered by Sameh H. Python tutor
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Given that Sin(A) = 1/sqrt(3), show that Tan(A) = 1/sqrt(2)

Using: Tan(x) = Sin(x)/Cos(x) Using: Cos(x) = sqrt(1-Sin 2 (x)) Cos(A) = sqrt(1-Sin 2 (A)) = sqrt(1-1/3) = sqrt(2)/sqrt(3) Therefore: Tan(A) = Sin(A)/Cos(A) = (1/sqrt(3))/(sqrt(2)/sqrt(3)) = 1/sqrt(2)
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Answered by Sameh H. Maths tutor
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How do I go about planning an 'unseen poetry' question?

First off, you are going to want to thoroughly read through and annotate the poem. Read the poem carefully at least twice through to make sure you can understand each line's literal meaning. Once you are hap...
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What is the "chain rule"?

The "chain rule" is a handy little tool that we can use to find the derivative of a complicated function. Specifically, we use the chain rule when we have functions within functions. But what does ...
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Answered by Joe F. Maths tutor
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