A rocket has total mass 1000 kg with fuel of 900 kg it ejects fuel at the rate of 1kg/s with an exhaust velocity of 2km/s relative to rocket the maximum velocity attained by rocket is
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Answer:celerated is continuously decreasing (fuel is being ejected from the rocket).
Solution
The momentum of the ejected fuel gas is
p=mgv.
The ejection velocity v=2.5×102m/s is constant, and therefore the force is
F=
dp
dt
=v
dmg
dt
=−v
dm
dt
.
Now,
dmg
dt
is the rate of change of the mass of the fuel; the problem states that this is 2.0×102kg/s. Substituting, we get
F =v
dmg
dt
=(2.5×102
m
s
)(2.0×102
kg
s
) =5×104N.
Explanation:
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