A high-speed pneumatic hyperloop transport pod is designed to carry passengers through an evacuated tube.
Suggest two design or environmental factors that affect the distance the hyperloop pod can travel before its emergency backup battery system is fully depleted.
The maximum acceleration of the pod is 18 m/s218\text{ m/s}^218 m/s2. Calculate the time taken for the speed of the pod to increase from 0 m/s0\text{ m/s}0 m/s to 45 m/s45\text{ m/s}45 m/s at its maximum acceleration. Show your working.
During a high-speed test run along a straight guide track, the pod accelerates from rest (u=0 m/su = 0\text{ m/s}u=0 m/s) at a constant acceleration of 12.5 m/s212.5\text{ m/s}^212.5 m/s2 over a distance of 900 m900\text{ m}900 m to reach its final velocity vvv. Calculate its final velocity vvv. Use the equation:
v2−u2=2as v^2 - u^2 = 2as v2−u2=2asShow your working.
When cruising at its maximum speed, the average resistive force (due to residual air resistance inside the tube and magnetic drag) acting on the pod is 850 N850\text{ N}850 N. Calculate the work done against this resistive force when the pod travels a distance of 6.4 km6.4\text{ km}6.4 km at this speed. Show your working.