Hi please do all questions and show all working including basics (substitution, expansion etc as we get marked on this our professor wants to see every single step)
Please Also don't copy any explanations from the internet as I have to type up our worded explanations and they go through turn it in. If there is the slightest plagiarism I will fail the whole exam. thanks again :)
In the above electricity question, we introduced the electrical potential on the positive x-axis for a set of fixed charges, q1 and q2, as (d) Using and extending this expression for V, calculate expressions for the electric field along the (positive and negative) x-axis. (e) Assuming that q1 = q2, make a rough plot of the electric field that you find as a function of x. Justify your reasoning in creating your plot. These questions follow on from Electromagnetism – Question 2. Initially Bart and Lisa are at rest with respect to each other. However, after Lisa sends and Bart receives a 10 s long signal, they realise they are moving away from each other. The electromagnetic wave used to send the signal has an intensity of 0.10 W/m2 and a frequency of 150 kHz. (e) Explain carefully, with the aid of a diagram, what has caused this relative motion to occur. (f) Calculate Bart’s final speed (relative to the frame in which he was initially at rest). Take the diameter of the rod to be 1.0 cm and the combined mass of the rod, Bart and his space suit to be 100 kg. State any other assumptions you need to make. (g) Meanwhile Lisa, who together with her space suit also has a mass of 100 kg, finds that her final speed, as measured in the frame in which she was initially at rest, is greater than that of Bart’s. Explain how this could be so. (e) For the time that the Hypatia is cruising at constant speed towards Luyten’s Star (i.e. the time in between the acceleration and deceleration), how much time would have elapsed for NASA on Earth according to the crew? Explain how your answer is consistent with the time that NASA themselves would experience. (f) The mass of the Hypatia is 120, 000 kg, and it has engines that run on matter-antimatter annihilation. If the engines are 40% efficient, make a simple estimate of the mass of fuel that would be required to be burnt to accelerate the Hypatia to its cruising speed. Neglect the mass of the fuel in your calculation. Comment on your result.