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In a particle accelerator, a fast moving particle (with v = 0.99c) decays into two photons, of total energy of 6.2 × 10−27 J. What is the rest mass of the fast moving particle?

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Prove by induction: 5n + 6n - 1 is divisible by 10 for all integers n

Find the limit of (1 - cosx)/x2 as x approaches zero

Prove by induction that n(n + 1)(n + 2) is divisible by 6 When n = 1, n(n + 1)(n + 2) = 6, which obviously works Assume true for n = k, i.e. k(k + 1)(k + 2) = 6M Consider n = k + 1 (k + 1)(k + 2)(k + 3) = 6M/k (k + 3) <--- how do i prove this is divisible by 6?

What are some issues associated with landing on the Earth's surface? (and ways to deal with them)

What is the mathematical significance of the vertical and horizontal motions being perpendicular?

Find the sum of the first n terms of Tr = 2r + 2r - 1 (its the sum of an arithmetic and geometric series) I got n2 - n/2 + 2n+1 - 2 But the textbook says n2 + 2n+1 - 2

Why is the graph for g-force/acceleration a curve and not linear? See graph:

Prove that 2n+2 + 32n+1 is divisible by 7 for all integers, n > 0 So far I have: Let n = 1 23 + 33 = 8 + 27 = 35, which is divisible by 7 Assume true for n = k 2k+2 + 32k+1 = 7M Consider n = k + 1 2k+3 + 32k+3 = 2k.23 + 32k + 33 = 2k.8 + 9k.27 = 2k.8 + 9.(3.9k) = 2k.8 +...

A bowl is formed by rotating the part of the curve y = x^4 / 4 between x=0 and x=2 about the y axis. Find the volume of the bowl. From: 2002 Mathematics Exam (2 Unit)

The normals to the parabola x2 = 4Ay at the points P1 and P2 intersect at Q. If the chord P1P2 varies in such a way that it always passes through the point (0, –2A), show that Q lies on the parabola.

A rotating light L is situated at sea 180 metres from the nearest point P on a straight shoreline. The light rotates through one revolution every 10 seconds. Show that the rate at which a ray of light moves along the shore at a point 300 metres from P is (136) pi m/s. So far I have: 1...

I'm trying to edit a page on Biki, and even after I log in, I can't edit the page Any help would be good Thanks in advance:rotfl:

what are some good textbooks to use for HSC Physics?

What are the best textbooks to use for HSC Ext. 1 Maths?:spin:

What's the best way to effectively study for Extension 1 Maths for Year 12?

Does going to a selective high school make it easier or harder for me to get a good ATAR? Subjects for Year 12: * Maths Ext 1 * English (Advanced) * Physics * Chemistry * Economics :spin:

Do I need to remember the solubility rules for HSC Chemistry? :caffeine: