Question: "Due to internal combustion inside a rocket, gases..."

Sage Farley

Answered question

2023-01-17

Due to internal combustion inside a rocket, gases are ejected at the rate of

2.4 kg / minute

. The velocity of the gases with respect to the rocket is

400 m / s

. Calculate the force exerted on the rocket.

feod4rs

Beginner2023-01-18Added 6 answers

Given data
Rate of ejection of gases or rate of change of the mass =

\frac{d m}{d t} = 2.4 K g / m i n u t e

The velocity of gases with respect to the rocket =

v = 400 m / s

Formula used
Rate of change of momentum =

v (\frac{d m}{d t})

Calculation
By changing the values in the formula above, we obtain

T h e r a t e o f c h a n g e o f t h e m o m e n t u m = v (\frac{d m}{d t}) = (400 m / s e c) \times (\frac{2.4}{60} k g / s e c)

Since momentum and force are equivalent.

F o r c e = R a t e o f c h a n g e o f m o m e n t u m = v (\frac{d m}{d t}) = 400 \times \frac{2.4}{60} = 16 N

Therefore force exerted on the rocket is

16 N

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