Understanding Power Calculation: 1.5MW vs 1.47MW Explained

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Power calculation for a train's movement is discussed, focusing on the discrepancy between 1.5MW and 1.47MW. The calculation of power as force times velocity is confirmed, leading to 1.5MW, but the answer book suggests 1.47MW, which can be explained by subtracting resistance. The role of gravity in power calculations is also mentioned, though the relationship between vertical gravity and horizontal speed remains unclear. The thread has been locked as a duplicate, with a recommendation to continue the discussion in a more appropriate forum. Understanding these calculations is essential for accurate assessments of power requirements in physics.
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Homework Statement
'Find the max power of a train engine travelling level at 50 metres per second if total resistance to motion is 30 KiloNewtons.
Relevant Equations
'Find the max power of a train engine travelling level at 50 metres per second if total resistance to motion is 30 KiloNewtons.
In answer to this I get power = force times velocity so 30000 x 50 = 1500000 = 1.5 Mega Watts. My answer book says 1.47 Mega Watts. I can see how 1.5MW minus 30KW = 1500000 - 30000 = 1.47MW. Also I can see that power times gravity of 9.8 = 1.5 MW times 9.8 N gives the same answer. I can't see how you should subtract the force from the sum of the force and the distance, or how vertical gravity can reduce the speed of a horizontally moving train. Thanks :)
 
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Locked as a duplicate of another post.
 
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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