The total liftoff mass of the space shuttle orbiter is 110,00kg. The combined th

Question

The total liftoff mass of the space shuttle orbiter is 110,00kg. The combined thrust of the three onboard liquid fuel engines and two solid fuel boosters is 34.5 million N. Theoretically what is the vertical acceleration in m/s2 at launch? The shuttle pitches over to fly roughly horizontally at 100m/s a few seconds after launch. Considering this horizontal phase of the profile, how long does it take to reach 7743m/s orbital speed. (all acceleration is now horizontal, and not considering air friction and earth`s rotation, and assume launch F,m)?

Explanation / Answer

Mass of the space shuttle m = 11000 Kg Force acting on ot F = 34.5*10^6 N Net vertical force ma = F - mg                              ma = 34.5*10^6 - 0.1078*10^6                       11000 a = 34.3922*10^6                                  a = 3126.56 m/s^2 Vertical acceleration a = 3126.56 m/s^2 Horizontal acceleration a' = F/m = 3136.36 m/s^2 Initial speed u = 100 m/s Final speed v = 7743 m/s Let t be the time taken, time t = (v-u)/a'           = 2.436 s Horizontal acceleration a' = F/m = 3136.36 m/s^2 Initial speed u = 100 m/s Final speed v = 7743 m/s Let t be the time taken, time t = (v-u)/a'           = 2.436 s   

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