Question

During take-off a 8kg model rocket is burning fuel causing its speed to increase

Answer 1

The strength of the thrust is 122 newtons.

The motion of the rocket is described by the second Newton's law, whose model is shown below:

$\Sigma F = F - D = m\cdot a$ (1)

Where:

• $F$ - Thrust, in newtons
• $D$ - Drag, in newtons
• $m$ - Mass of the rocket, in kilograms
• $a$ - Net acceleration of the rocket, in meters per square second

If we know that $D = 90\,N$, $m = 8\,kg$ and $a = 4\,\frac{m}{s^{2}}$, then the strength of the thrust is:

$F = D + m\cdot a$

$F = 90\,N + (8\,kg)\cdot \left(4\,\frac{m}{s^{2}} \right)$

$F = 122\,N$

The strength of the thrust is 122 newtons.

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