A high-speed electric hyperloop pod is designed for rapid cargo transport.
Suggest two factors that affect the maximum distance the hyperloop pod can travel along the transit tube before its battery energy storage is depleted.
The maximum acceleration of the pod is 25 m/s225\text{ m/s}^225 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 75 m/s75\text{ m/s}75 m/s at its maximum acceleration. Show your working.
During a high-speed test run along a straight depressurized tube, the pod accelerates from rest (u=0 m/su = 0\text{ m/s}u=0 m/s) at a constant acceleration of 6.25 m/s26.25\text{ m/s}^26.25 m/s2 over a distance of 800 m800\text{ m}800 m to reach its final velocity vvv. Calculate its final velocity vvv. Use the equation: v2−u2=2asv^2 - u^2 = 2asv2−u2=2as Show your working.
When cruising at its high-speed test velocity, the average resistive force (due to residual air resistance 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.