@JohnRennie I asked a prof if he could give me some QFT stuff to think about and it's actually quite fun! Every question is extremely hard though, mostly because it's stuff I'm unfamiliar with.
@Aladdin there's a graphics module for Python. I've used it for graphing. I've never done more general graphics but I'm sure it's straightforward. What sort of graphics do you want to do?
Like for the sentence generator,I should add a graphic upon which it will show a message ' click here's and upon clicking it tells the user to enter two words
Well it's a property of parabolic mirrors that they focus all parallel rays to a single point. Contract this with spherical mirrors where only parallel rays close to the optical axis get focused to a point. So I assume the question is talking about a parabolic mirror.
So I'm guessing the question means a mirror like this.
So if the light is focused at the origin it will look something like:
Where I'd guess they mean $a$ to be the focal length of the mirror.
So the equation is going to be something like $x = Ay^2 + B$ for some constants $A$ and $B$.
Or rearranging: $y^2 = Ax + B$. And answers (a) and (c) have that form.
I don't know offhand whether (a) or (c) is correct and I can't think of an easy way to tell. You'd have to know about the geometry of parabolic mirrors.
the question: An artificial satellite is moving around the surface of earth. If the magnitude of the gravitational constant starts decreasing at a constant rate, then what would the effect on the path of the satellite be?
An artificial satellite is moving around the surface of earth. If the magnitude of the gravitational constant starts decreasing at a constant rate, then what would the effect on the path of the satellite be?
OK. The key thing about a Carnot engine is that it is reversible. So you can use it as an engine, i.e. let heat flow from hot to cold and do work, or you can use it as a heat pump i.e. put in work and pump heat from the cold to the hot end.
When used as a heat pump the efficiency is greater than one i.e. the amount of heat pumped from the cold to the hot end is greater than the work you put in. In fact when used as a pump the efficiency is simply $1/E$ i.e. $E_{pump} = T_h/(T_h - T_c)$.
But if we decrease $G$ slightly we decrease the gravitational force and that means the circular orbit should have a reduced velocity to keep the centripetal force and gravity equal.
The actual trajectory isn't trivial to calculate. You'd start with some dependence of the force on time and use that to calculate the trajectory. It would be a spiral of some form but you'd probably have to do a numerical calculation to get the exact form.
An artificial satellite is moving around the surface of earth. If the magnitude of the gravitational constant starts decreasing at a constant rate, then what would the effect on the path of the satellite be?
