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Discuss how the graph of orbital velocities in rotational galaxies against distance from the galactic centre implies the existence of dark matter.

Within the central swell of the galaxy, we can see that the orbital velocity increases almost linearly with distance, which corresponds with the formula for orbital velocity (namely that v=sqrt(GM/r)), as...

JT
Answered by Jack T. Physics tutor
1477 Views

How do I make sure that I do not run out of time in the essay questions of the exam?

Timing in the History A Level is one of the biggest challenges encountered by most people who are preparing for the exam: it's very common for students to worry about running out of time, or not writing e...

AS
Answered by Alex S. History tutor
2532 Views

What is homeostasis and give 3 examples of homeostasis in the body.

Homeostasis is the maintaining of a constant internal environment to allow for healthy functioning of the body. Three examples would be the control of water levels in the kidney via ADH, control of temper...

Answered by Biology tutor
2939 Views

A particle of mass m moves from rest a time t=0, under the action of a variable force f(t) = A*t*exp(-B*t), where A,B are positive constants. Find the speed of the particle for large t, expressing the answer in terms of m, A, and B.

First, we need to find a formula for the speed of the particle, v, at a given time, t. Relate the speed, v, to the force f, using Newton's 2nd Law: f(t) = mdv/dt (remembering that acceleration is t...

Answered by Maths tutor
2652 Views

Find the general solution of the differential equation d^2y/dx^2 - 2(dy/dx) = 26sin(3x)

2 Parts to this question - requires a complimentary function (treating equation as if right-hand side (RHS) = 0) and a particular integral (the general solution for where the RHS = 26sin(3x) )
1) The...

MP
4768 Views

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