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What is gravitational potential energy? Why is it negative?

We define gravitational potential as: the work done to bring a small "test" mass from infinity to a point. But what does this truly mean? The "work done" is simply the energy we need to p...
AS
Answered by Alexander S. • Physics tutor
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Please explain William the Conqueror's reasons for invading England in 1066?

The death of Edward the Confessor in early 1066 would prompt one of the most significant military campaigns in English history, the invasion of William of Conqueror. The reasons for William's invasion of Eng...
NM
Answered by Nicholas M. • History tutor
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Using the Trapezium rule with four ordinates (three strips), estimate to 4 significant figures the integral from 1 to 4 of (x^3+12)/4sqrt(x). Calculate the exact value of this integral, comparing it with your estimate. How could the estimate be improved?

Taking the value at the ordinates f(1) = 13/4, f(2) = 20/4sqrt(2), f(3) = 39/4sqrt(3), f(4) = 9.5 Then the trapezium rule states the integral is approximately 1/2 * [f(1) + 2f(2) + 2f(3) + f(4)], which (usin...
RM
Answered by Robert M. • Maths tutor
8587 Views

How to incorporate historiography into your A Level History essays?

Historiography (or reference to professional historians's opinions) is a great way to improve the sophistication of your history essays - showing your grasp of the various debates surrounding the topic you a...
CM
Answered by Clarissa M. • History tutor
2744 Views

How to incorporate critical commentary into A Level English essays to reach marking criteria?

Showing awareness of critical response to texts is an important marking criteria for English exams - showing you have considered a range of critical opinions is a brilliant way to push your essays into the n...
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Answered by Clarissa M. • English tutor
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