Battleships! In 1905, as part of the Russo-Japanese War, the Imperial Japanese Navy (IJN) under the command of Admiral Togo engaged the Russian fleet under the command of Admiral Rozhestvensky in the Battle of Tsushima. This was the first major naval engagement to be dominated by "big guns." In this question we will model the 12" Armstrong Whitworth guns employed by the IJN. The guns are capable of firing a 390kg shell at a speed of 732ms-1. For simplicity, we shall assume that this shell is a sphere of diameter D such that the drag due to air resistance can be approximated as Fp 2 CppAv² 16PDu² = cv? where Cp= 1/2 is the approximate drag coefficient for a sphere, A = T(D/2)2 is the reference area, p ~ 1.225kgm-3 is the density of air at sea level, and v is the velocity, whence C = 16PD? The overall force experienced by our shell in flight is hence F = mg - cv²v , where m is the mass of the shell and g is the acceleration due to gravity, v= and v^ = v/v, with v corresponding to the velocity vector. We shall take our coordinate system such that x^ points east, y^ points north, and z^ points up whence g-9.81z^. With this, let our gun be placed at the origin of our coordinate system, and assume our ship is at rest. We shall model the ship we are trying to hit with our shell as having a length of 121m, a beam of 23m, and being purely rectangular in shape. At t = 0 let the midpoint of this ship be located 4km to the north and 6km to the east of us, steaming with a speed of 7.5ms-1 in a south-southeast direction.

Hydro Tasmania has initiated the Battery of the Nation (BotN) strategic initiative to investigate and map out future development opportunities for the State of Tasmania to make a bigger contribution to a future National Electricity Market (NEM). The Tarraleah scheme redevelopment pre-feasibility study was undertaken through this initiative, with funding support from ARENA under the Advancing Renewables Program. For this assignment problem you will be using your knowledge of hydro power to: (1) estimate extended specifications for a new power station on the left bank of the Nive River opposite the existing power station; and (2) to reverse engineer specifications for the Pelton turbines currently installed at the Tarraleah power station. The pre-feasibility design team established basic parameters of a new power station to comprise two Francis turbines with a design flow of 20 m³/s (total 40 m³/s), a net head of 305 m and an installed capacity of ~57 MW (total 113 MW). The Tarraleah…

What is the effect of acceleration on a beam of light shone horizontally at one wall?

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