• Star Birth

    it heats up. The collapse speeds up as it proceeds, and the gas heats up more and more... Eventually the gas at the centre because hot enough so that the nuclei – mostly protons/hydrogen nuclei – have enough energy to overcome their mutual repulsion,...

    https://astarmathsandphysics.com/gcse-physics-notes/821-star-birth.html

  • The Cases For and Against Nuclear Power

    Before nuclear power there was the nuclear bomb, and the presence of the nuclear bomb casts a shadow over the debate about nuclear power, even between countries. Many countries think that nuclear bombs are being developed under the cover of nuclear...

    https://astarmathsandphysics.com/gcse-physics-notes/833-the-cases-for-and-against-nuclear-power.html

  • A* Maths/Physics Tuition Throughout London & Online Tests/Notes

    with a tutor, for which you need a webcam, microphone, graphics tablet and a Skype account. We run our own free to use test centre . Click the Skype button bottom right. We don't track you using cookies. Read our privacy policy .

    https://astarmathsandphysics.com/

  • My Favourite Educational Links

    https://freeexampapers.com Past papers, all subjects, all levels. Student Forum Popular student forum. http://library.cern.ch/derobbio/mathres/mathres1.html#e-jouh Undergraduate and Postgraduate Reference Library with lots of e-books and e-journals....

    https://astarmathsandphysics.com/my-favourite-educational-links.html

  • The Curtis - Shapley Debate

    of our galaxy and decided that our galaxy, and possibly the universe, was like a flat lens with a the Sun close to its centre. Shapley believed that out galaxy – which he said was 300,000 light across - was the whole universe. He argued that the spiral...

    https://astarmathsandphysics.com/gcse-physics-notes/836-the-curtis-shapley-debate.html

  • The Earth's Magnetic Field

    magnetic field generated by currents in it's rotating core. The magnetic field acts as though it had a giant magnet at it's centre. Over most of the Earth's surface, the magnetic field is inclined to the surface, so that a freely suspended magnet will...

    https://astarmathsandphysics.com/o-level-physics-notes/239-the-earth-s-magnetic-field.html

  • Drawing a Line of Best Fit

    When drawing a line of best fit it to a set of data points is important to realise that the line should 1. Pass through the centre of the points where is the mean of the x values and is the mean of the y values. 2. Should have as many points – or as...

    https://astarmathsandphysics.com/igcse-maths-notes/475-drawing-a-line-of-best-fit.html

  • Proof That Common Tangent From Meeting Point of Two Circles Bisects Other Common Tangent

    shows common tangents PQ and Abto two circles. The tangent PQ bisects the tangent AB. Two see this draw a line between the centre of each circle. This line must cut the line PQ at right angles. Draw two other lines from the centre of each circle to the...

    https://astarmathsandphysics.com/igcse-maths-notes/503-proof-that-common-tangent-from-meeting-point-of-two-circles-bisects-other-common-tangent.html

  • Enlargements - Negative Scale Factors

    than that shape to be enlarged. The scale factor k is positive, with the enlarged shape being k times as far from the centre of enlargement as the original shape. If the scale factor is more than one, the enlarged shape is bigger. If the scale factor is...

    https://astarmathsandphysics.com/igcse-maths-notes/512-enlargements-negative-scale-factors.html

  • DrawingLines of Best Fit

    When drawing a line of best fit it to a set of data points is important to realise that the line should 1. Pass through the centre of the points where is the mean of the x values and is the mean of the y values. 2. Should have as many points – or as...

    https://astarmathsandphysics.com/gcse-maths-notes/586-drawing-a-line-of-best-fit.html

  • The Projector

    or wall. It contains a lamp and a concave mirror to illuminate the image and make it brighter. The lamp is placed at the centre of the mirror so that light rays reflected from the mirror travel back along their own path. To brighten the image further a...

    https://astarmathsandphysics.com/gcse-physics-notes/868-the-projector.html

  • Problem Solving With Areas

    shape, this is often symetry that can be used. The diagram below shows three overlapping circles, each of radius The centres of the circles are at A, B and C respectively and each circle passes through the centre of each of the other circles. The...

    https://astarmathsandphysics.com/ib-maths-notes/trigonometry/1129-problem-solving-with-areas.html

  • Important Points to Remember When Drawing Ray Diagrams For Lenses

    through the focal point will be refracted and follow a path parallel to the principal axis. Any ray passing through the centre of the lens will be undeviated. Diverging Lenses Any ray travelling parallel to the principal axis will be refracted away from...

    https://astarmathsandphysics.com/ib-physics-notes/optics-and-light/1397-important-points-to-remember-when-drawing-ray-diagrams-for-lenses.html

  • Proof of Newton's First Law of Motion

    mass at position vectors The equation of motion for particle is The force acting on the body is The position vector of the centre of mass The centre of mass has acceleration If there is no external force then and motion is uniform.

    https://astarmathsandphysics.com/university-physics-notes/classical-mechanics/1532-proof-of-newton-s-first-law-of-motion.html

  • Proof That Loss of Fluid Per Unit Volume Equals Divergence of Velocity Field

    The x component of the velocity at the centre of the face ABCD above is The x component of the velocity at the centre of the face EFGH above is The volume of fluid crossing ABCD per unit time is The volume of fluid crossing EFGH per unit time is The...

    https://astarmathsandphysics.com/university-physics-notes/fluid-mechanics/1575-proof-that-loss-of-fluid-per-unit-volume-equals-divergence-of-velocity-field.html

  • Expectation Values

    We use the identity, rearranging to obtain The integral becomes We integrate by parts: This is, as we would expect in the centre of the well, since is symmetric about the centre of the well.

    https://astarmathsandphysics.com/university-physics-notes/quantum-mechanics/1628-expectation-values.html

  • The Appearance of a Rod Perpendicular to the Direction of Travel

    of the inertial frames coincide. To reach the origin of O at t=0 light must leave the points A, B and C (the ends and centre of the rod) at times and These are not the same, and in order to reach O at t=0, the light rays must leave before t=0. Consider...

    https://astarmathsandphysics.com/university-physics-notes/special-and-general-relativity/1658-the-appearance-of-a-rod-perpendicular-to-the-direction-of-travel.html

  • Position of Point on London Eye Relative to Ground

    wheel with a radius of 67.5m and takes 30 minutes to make a complete rotation. If we take the point on the ground below the centre has the origin, the the coordinates of the centre are \[(0,67.5)\] . A point on the wheel rotates at the rate \[2 \pi\]...

    https://astarmathsandphysics.com/ib-maths-notes/trigonometry/5006-position-of-point-on-london-eye-relative-to-ground.html

  • Volume Common to Intersecting Spheres

    of the region common to the spheres \[x^2+y^2=16\] and \[x^2+y^2=8x\] using Volumes of Revolution . The first sphere has centre \[(0,0)\] and radius 4, and the second, which we can write \[(x-4)^2+y^2=16\] has centre \[(4,0)\] and radius 4. There is a...

    https://astarmathsandphysics.com/university-maths-notes/elementary-calculus/5360-volume-common-to-intersecting-spheres.html

  • Volume Traced Out by Moving Circle

    z=0\] , As the circle moves it generates a volume. To meet the conditions at \[x=0\] the circle must have radius \[a\] and centre \[(0,0)\] and to meet the conditions at \[x= \pm a\] it must have radius \[r= \frac{a}{2}\] and centre at \[z=...

    https://astarmathsandphysics.com/university-maths-notes/elementary-calculus/5384-volume-traced-out-by-moving-circle.html

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