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A space probe is traveling in outer space with a momentum that has a magnitude of 5.16 x 107 kg·m/s. A retrorocket is fired to slow down the probe. It applies a force to the probe that has a magnitude of 1.19 x 106 N and a direction opposite to the probe's motion. It fires for a period of 10.9 s. Determine the momentum of the probe after the retrorocket ceases to fire.

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davidlcastiblanco

Answer:

[tex]p_{f}=99x10^6 N*s[/tex]

Explanation:

When a force is applied to an object over a certain period of time, it is said to apply an impulse to the object. The magnitude of the impulse is given by:

J=F*Δt

When an impulse is provided to an object, the momentum of the object will change, as in:

J=Δp=[tex]p_{f}-p_{i}[/tex]

So given:

Initial momentum

[tex]P_{i}=5.19x10^7 \frac{kg*m}{s}[/tex]

Applied force

[tex]F=2.0x10^6 N[/tex]

J=[tex]p_{f}-p_{i}[/tex]

F*Δt=[tex]p_{f}-p_{i}[/tex]

[tex]p_{f}=2.0x10^6N*12s+7.5x10^7 N*s[/tex]

[tex]p_{f}=99x10^6 N*s[/tex]

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