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What is the amplitude and period of y=3sin(5x)?

Amplitude of a periodic function is the maximum height it reaches above the centre line (or the lowest). This expressed in the equation as '3'. If the 3 was not there, then the sin wave would have an ampl...

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Answered by Madeleine R. Maths tutor
6670 Views

A rock has a mass of 100g and it is thrown across a pond at a speed of 30ms^-1. Calculate the de Broglie wavelength of the rock and explain whether you can see the wave produced.

λ=h/p λ=h/mv λ= 6.6310^-34/0.130 λ= 2.21*10^-34m We cannot see the rock's de broglie wave because its wavelength is much smaller than that of the visible spectrum

LM
Answered by Liam M. Physics tutor
3453 Views

Show that the radius of an orbit may be expressed as follows: R^3=((GM)/4*pi^2)T^2

Start with Newton's Law of Gravitation: F=(GMm)/R^2 (1) Since orbits are assumed to be circular recall the equation for centripetal force: F=(mv^2)/R (2) We can now equate these 2 forces due to them being...

LM
Answered by Liam M. Physics tutor
6045 Views

How do I factorise and solve 2x^2+4x-6=0?

The 2 in front of the x^2 can cause confusion. In this case, the equation can be divided through by 2, to produce x^2+2x-3=0. From here it can be factorised by working out what adds to make '2' and times ...

MR
Answered by Madeleine R. Maths tutor
10447 Views

Define Simple Harmonic Motion

The acceleration or unbalanced force is proportional to the displacement of the object from its equilibrium position and acts in the opposite direction

Mathematically, this may be expressed as a=-...

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Answered by Liam M. Physics tutor
4886 Views

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