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Timed Test for A Level Physics
Multiple choice questions for electricity

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Multiple Choice Questions - A Level Physics - electricity - Time: 40 minutes Created and Programmed by Vivax Solutions     Start the Quiz   Submit Quiz

Timed Test for A Level Physics - mechanics: extended

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 A Level Physics Time: 60 minutes Created and Programmed by Vivax Solutions     Start the Quiz   Submit Quiz    

Timed Test of Multiple Choice Questions for GCSE Physics

Multiple Choice Questions - GCSE Physics - Time: 40 minutes Created and Programmed by Vivax Solutions     Start the Quiz   Submit Quiz

Timed Multiple Questions Test for A Level Physics - mechanics

Multiple Choice Questions - A Level Physics and Mechanics - Time: 40 minutes Created and Programmed by Vivax Solutions       Start the Quiz   Submit Quiz    

Challenging questions for in friction - for physics and mechanics: A Level and IB

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  1) If the section of the rope that hangs down is about to move on the table, find and expression for x in terms of the coefficient of friction and the length of the rope. 2) The mass of a book is 2kg and is pressed against a wall by a horizontal force to stop it from sliding down. Find the minimum value of the force if the coefficient of the friction between the book and the wall is 1/3. 3)  A horizontal force is applied at a right angle to the top edge of a rectangular box with a length 60cm and a height 20cm to move it. What should the coefficient of friction between the box and the surface it is placed on so that the box moves without toppling.

Modelling with Differentiation for A Level Maths and Physics

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  Motion under gravity - modelling with differentiation The motion of an object under gravity can easily be modelled by differentiation. Suppose the motion of a stone is given by the formula, y = 16t - 4t 2 , where y and t are displacement and time respectively.  y = 16t - 4t 2 dy/dt = 16 - 8t When the stone reaches the highest point, dy/dt = 0 16 - 8t = 0 8t = 16 t = 2s Maximum height reached by the stone = 16x2 - 4x2 2 = 16m d 2 y/dx 2 = -8 < 0 Therefore, when t = 2s, the height reaches the maximum. In order to play with the simulation interactively, please use the following and play with the slider:

The dot product of two vectors: for A Level Further Maths

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  The dot product or scaler product of two vectors, a and b, is defined as follows: a.b = |a| |b| cos θ Since |a|, |b| and cos t are scalers, the dot product is a scaler. The dot product of unit vectors i.i = |i| |i| cos 0 = 1 X 1 X 1 = 1 i.j = |i| |j| cos 90 = 1 X 1 X 0 = 0 j.j = |j| |j| cos 0 = 1 X 1 X 1 = 1 The dot product of two perpendicular vectors is zero. E.g. a = 3i + 4j   b = 5i - 12j  θ = 60 |a| = 5   |b| = 13 a.b = |a| |b| cos θ a.b = 5 X13 X cos 60 a.b = 32.5 For more interactive simulations and worked examples, please use this link :