Anyone help me out with this question? Not a clue on it.
Assuming that the velocity of the rocket depends on some force (F) applied over a distance (d) on the rocket of mass (m), use dimensional analysis to derive a model equation which explains how the velocity figure is calculated.
This is from the question before, I just cant see how I'm meant to derive it? is this not what i did?
- Your colleague has had a family emergency and has returned to the USA for a week. You receive an email from one of the investors asking you to make sure the presentation explains how the launch vehicle will achieve escape velocity from low orbit. You have the figures from your colleague’s notes, but you are not sure which equation was used determine the force or engine burn time.
Assuming that the velocity of the rocket depends on some force (F) applied over a distance (d) on the rocket of mass (m), use dimensional analysis to derive a model equation which explains how the velocity figure is calculated.
This is from the question before, I just cant see how I'm meant to derive it? is this not what i did?
- G = Gravitational Constant = =
- F = Mass x Acceleration = M x LT-2 = ML T-2
- = Distance between two objects = L
- Mass of first object and second respectively = M
- = = M-1 L3 T-2
- m = Mass = M
- r = Radius = L
- = = L1T-1 = This confirms the units are correct
- SI unit for escape velocity is m/s-1