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A sequence is defined by the recurrence relation u(n+1) = 1/3 u(n) + 10 with u(3) = 6 . Find the value of u(4) and the limit of the sequence.

A sequence is defined by the recurrence relation u n+1 = 1/3 u n + 10 with u 3 = 6 . Find the value of u 4 and the limit of the sequence. To find the value of u 4 we replace u n by u 3 in the equation and th...
DS
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How much work must be done on a 4.0kg frictionless trolley, to accelerate it from rest to a velocity of 5.0m/s?

It must firstly be noted that, in general, the work done on an object is equal to its gain in energy.The trolley has gained kinetic energy. This can be calculated using the formula: "KE = (1/2)mv^2&quot...
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Answered by Will W. • Physics tutor
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What is centripetal force?

For an object moving in a circular path, the centripetal force is any force which acts towards the centre of this circular path. This means it acts perpendicular to the direction of forward motion. It is imp...
BH
Answered by Ben H. • Physics tutor
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What is the difference between speed and velocity?

Speed and velocity may seem like identical measures but this is not the case. Speed is a scalar measurement meaning it only takes into account magnitude not direction, velocity is a vector quantity and there...
AA
Answered by Alexander A. • Physics tutor
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Do batteries contain current, which comes out when they are in a circuit?

No; this is a common misconception! Batteries store energy, which is used to push electrons (charges) around a circuit. The flow of electrons is called current. As the electrons flow through the circuit they...
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Answered by Samuel S. • Physics tutor
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