Homework Statement
Show that the gravitational field due to a horizontal uniform thin disc (thickness D, radius R and density r) at a distance h vertically above the centre of the disc has magnitude
2πGρd(1-h/(R2+h2)1/2)
A pendulum clock in the centre of a large room is observed to keep...
Homework Statement
A uniform solid sphere of mass m and radius a has moment of inertia 2/5ma2 about any
diameter. Material is removed from the sphere to make a concentric spherical cavity of
radius a/2. What is the mass of the resulting hollow ball ? Show that its moment of inertia
about a...
Homework Statement
A raindrop is falling through a cloud, collecting water as it falls. If the raindrop has mass
m and velocity v, show that
mg = vdm/dt +mdv/dt.
Assume that the drop remains spherical and that the rate of accretion is proportional to the
cross-sectional area of the drop...
Due to the universe being 13.7 billion years old means that we can only see light that has taken that long to reach us. Could matter-antimatter annihilations occur further away than that so the gamma radiation hasnt reach us yet to detect?