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Model rocket engines are rated by the impulse that they deliver when they fire. A particular engine is rated to deliver an impulse of 3.5 kg #m/s. The engine powers a 120 g rocket, including the mass of the engine. What is the final speed of the rocket once the engine has fired?

Respuesta :

Answer:

Final speed of the rocket, [tex]\Delta v= 29.16\ m/s[/tex]

Explanation:

It is given that,

Impulse delivered by an engine, J = 3.5 kg-m/s

Mass of the rocket, m = 120 g = 0.12 kg

To find,

The final speed of the rocket

Solution,

We know that the impulse is equal to the product of mass and velocity o it is equivalent to the change in momentum of an object.

[tex]J=\Delta P=m\times \Delta v[/tex]

[tex]\Delta v=\dfrac{J}{m}[/tex]

[tex]\Delta v=\dfrac{3.5\ kg-m/s}{0.12\ kg}[/tex]

[tex]\Delta v= 29.16\ m/s[/tex]

So, the final speed of the rocket once the engine has fired is 29.16 m/s.

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