Express your answer as an integer and include the appropriate units Far in space

Question

Express your answer as an integer and include the appropriate units Far in space, where gravity is negligible, a 425 kg rocket traveling at 65.0 m/s fires its engines. The figure (Figure 1) shows the thrust force as a function of time. The mass lost by the rocket during these 30 s is negligible 15000 N.s Submit My Answers Give Up Answer Requested Part B At what time does the rocket reach its maximum speed? Express your answer to three significant figures and include the appropriate units alueUnits Submit My Answers Give Up Incorrect; Try Again; 5 attempts remaining Enter your answer using dimensions of time Part C What is the maximum speed of the rocket? Express your answer to three significant figures and include the appropriate units Figure 1 of 1 F (N) 1000 Units Submit My Answers Give Up 0 Incorrect; Try Again; 5 attempts remaining 0 10 20 30

Explanation / Answer

a)

Impulse = area under the curve

Impulse = 1/2*10*1000 + 1/2*20*1000 =1000*15

Impulse = 15 kN-s

b)

As far as the time goes, the rocket will continue to accelerate as long as a force is applied (even if the force is decreasing)

so maximum speed will be achieved at 30s.

c)

p = Ft = 15000

p = mv

v = p/m

v = 15000/425

v = 35.294 m/s

So the final speed of the rocket is 65 + 35.294 = 100.294 m/s  

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