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2 identical trolleys of mass M(one is loaded with 2 blocks of mass m) are on a ramp inclined at 35° and are connected by a wire that passes around a pulley at the top of the ramp. They are released and accelerate accordingly. Show that a=(mgsin35°)/(M+m).

Construction of Free Body Diagrams of the Trolleys and resolving the forces (Weight and Tension) components acting parallel to the ramp (assuming friction and air resistance are negligible) show that for ...

Answered by Neophytos V. • Physics tutor

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Points P and Q are situated at coordinates (5,2) and (-7,8) respectively. Find a) The coordinates of the midpoint M of the line PQ [2 marks] b) The equation of the normal of the line PQ passing through the midpoint M [3 marks]

a) For finding the midpoint M, the point M must be equidistant from P and Q in both the x and y axes. Hence, we consider the x and y axis separately. The midpoint of the x coordinates is essentially a mea...

Answered by Justin U. • Maths tutor

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The gradient of the curve at A is equal to the gradient of the curve at B. Given that point A has x coordinate 3, find the x coordinate of point B.

We are told f(x) = (2x-5)^2 (x+3).In part b) we are asked to show that f'(x) = 12x^2 -16x -35, so for part (c) we shall assume this definition for f'(x). We are told that the x coordinate for A is 3. Call...

Answered by Thomas F. • Maths tutor

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Solve x(5(3^0.5)+4(12^0.5))=(48^0.5) to the simplest form. (4 Marks)

The aim of the question is to equate x= into an expression.Step 1. Look to see if you can simplify the equation. On the left hand side of the equation you can see that 3 is a factor of 12. And also a fact...

Answered by Richard C. • Maths tutor

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Some plant cells contain the polymer starch. Explain how the structure and properties of starch are related to its function as a storage molecule.

Starch is a polymer of the sugar glucose, an important component of respiration and needed to provide plants with energy. Unlike glucose, starch is insoluble allowing it to be stored within the cell witho...

Answered by Daire C. • Biology tutor

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