Question

The exhaust gas of a rocket is expelled at the rate of 1300 kg/s, at the velocity of 50 000 m/s.find the thrust on the rocket in newtons?

Answer 1

Answer on Question #59418, Physics / Mechanics | Relativity

The exhaust gas of a rocket is expelled at the rate of $1300\mathrm{kg / s}$, at the velocity of $50000\mathrm{m / s}$. Find the thrust on the rocket in newtons?

Find: $f - ?$

Given:

$$\frac {\Delta m}{\Delta t} = 1300 \mathrm{kg / s}$$ $$\Delta v = 50000 \mathrm{m / s}$$

Solution:

Newton's Second Law in scalar form:

$$f = ma (1),$$

where $a$ – acceleration

Acceleration:

$$a = \frac {\Delta v}{\Delta t} (2)$$ $$(2) \text{ in } (1): f = \Delta v \times \frac {\Delta m}{\Delta t} (3)$$ $$Of (3) \Rightarrow f = 65 \times 10^{6} \mathrm{N}$$

Answer:

$$65 \times 10^{6} \mathrm{N}$$ $$65 \times 10^{3} \mathrm{kN}$$

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