Far in space, where gravity is negligible, a 425 kg rocket

Chapter 9, Problem 11E

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QUESTION:

Far in space, where gravity is negligible, a \(425 \mathrm{~kg}\) rocket traveling at \(75 \mathrm{~m} / \mathrm{s}\) fires its engines. Figure EX9.11 shows the thrust force as a function of time. The mass lost by the rocket during these \(30 \mathrm{~s}\) is negligible.

a. What impulse does the engine impart to the rocket?

b. At what time does the rocket reach its maximum speed? What is the maximum speed?

 

                                                 

Equation Transcription:

Text Transcription:

4.5 kg

75 m/s

30 s

Questions & Answers

QUESTION:

Far in space, where gravity is negligible, a \(425 \mathrm{~kg}\) rocket traveling at \(75 \mathrm{~m} / \mathrm{s}\) fires its engines. Figure EX9.11 shows the thrust force as a function of time. The mass lost by the rocket during these \(30 \mathrm{~s}\) is negligible.

a. What impulse does the engine impart to the rocket?

b. At what time does the rocket reach its maximum speed? What is the maximum speed?

 

                                                 

Equation Transcription:

Text Transcription:

4.5 kg

75 m/s

30 s

ANSWER:

Step 1 of 2

a)

Here we have to find the impulse.

We know that,

   .

The area of the triangle given, must give the impulse.

The area is,

   

So, the impulse will be,

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