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Answer on Algebra Question for allochka

Question #11458
Space Vehicles.
A liquid-fuel rocket has a weight ratio Wt/Wb = 5.0 and an exhaust velocity c= 5.5 kilometers per second. What is its velocity at burnout. Compute answer to two decimal places.

The velocity of the rocket is approximately ___ km/sec.
Expert's answer
Space Vehicles.
A liquid-fuel rocket has a weight ratio Wt/Wb = 5.0 and an exhaust velocity c= 5.5 kilometers per second. What is its velocity at burnout. Compute answer to two decimal places.
The velocity of the rocket is approximately ___ km/sec.&


Since the equation is

v = c ln(Wt/Wb),

and we know that c = 5.5 km/s, so

Wt/Wb = 5.0,

then utting these in gives

v = (5.5 km/s) * 5 = 27.5 km/s.

Thus the average speed is v = 27.5 km/s.

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