Is Relative Velocity Crucial for Rocket Launch Direction?

AI Thread Summary
Relative velocity is crucial for determining the launch direction of rockets, as launching from west to east takes advantage of the Earth's rotation, increasing the rocket's velocity. This method enhances the rocket's speed by combining its velocity with the Earth's, allowing for more efficient fuel use and a reduced ecological footprint. The discussion highlights the importance of understanding relative velocity in relation to the Earth to achieve specific orbits. Additionally, it clarifies that while the Earth's rotation aids in launch velocity, it does not directly affect the orbit itself. Overall, optimizing launch direction through relative velocity is essential for successful rocket missions.
TheronSimon
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Homework Statement



explain how relative velocity is related to the direction in which rockets are launched...
 
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Hi TheronSimon! :wink:

Tell us what you think, and then we'll comment! :smile:
 
Since the Earth rotates from west to east, rockets are launched from west to east This is done to aid in increasing the velocity of the rocket because the relative velocity becomes the velocity of the rocket + the velocity of the Earth thus giving the rocket a higher velocity. What this entails is that, the rockets have a higher velocity and so they conserve fuel which in turn helps conserve the environment and having less of an ecological foot print.
 
Yes, that looks good! :smile:

I think you should make this part a little clearer …
TheronSimon said:
… This is done to aid in increasing the velocity of the rocket because the relative velocity becomes the velocity of the rocket + the velocity of the Earth thus giving the rocket a higher velocity.

… you haven't said what the "relative velocity" is relative to (and why it matters in achieving a particular orbit). :wink:
 
would the relative velocity be relative to the earth? since its going into orbit?
 
(just got up :zzz:)

that's right! :smile:

(and the orbit is not affected by the Earth's rotation :wink:)
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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