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A Car of mass 1000kg applies a constant 200N breaking force over a distance of 30m and comes to a complete stop. How fast was the car going the instant the brakes were engaged.

Before we start we should have some idea of the route of our solution. We should observe that force, distance and work have a relation and that mass, velocity and work have a relation. So we should calculate...
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Answered by Sean O. • Physics tutor
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Rationalise the denominator of 25/sqrt(5)

In maths when we are asked to re express something we really only have 2 tricks. Multiply by 1, or add Zero. The hard part is finding how to express 1 or zero to suit the problem. For this one we should mult...
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Answered by Sean O. • Maths tutor
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How do I approach an essay?

Don’t panic! Breathe… Don’t let yourself get swept up in a wave of panic and don’t let yourself be consumed by negative thoughts: “I haven’t revised this, I’m going to fail”. Take a (mental) step back, take ...
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Answered by Jamie E. • English tutor
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There is a train A. On the roof of A is another frictionless train B of mass Mb. A mass Mc hangs off the front of A and is attached to the front of B by rope and frictionless pulley. How fast should A accelerate so that B wont fall off the roof of A.

You must carefully draw a diagram. The key to this question is to find from what perspective you should view it. The easiest way is to see that B wants to accelerate due to the weight of C. This is unaffecte...
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Answered by Sean O. • Physics tutor
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Find the indefinite integral tan(5x)tan(3x)tan(2x)

Noticing that tan(5x) = tan(3x+2x) we use the tan compound angle formula to find tan(5x) = (tan(2x)+tan(3x))/(1-tan(2x)tan(3x)) and thus tan(5x)tan(3x)tan(2x) = tan(5x)-tan(3x)-tan(2x). From then we can inte...
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Answered by Sean O. • Maths tutor
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