# Acceleration of Space Shuttle at Lift Off

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1. Nov 16, 2015

### NatalieWise123

1. The problem statement, all variables and given/known data

The mass of a space shuttle is approximately 2.0 x10^6 kg. If the thrust provides a force of 1.2 x 10^7 N, what is the acceleration of the space shuttle at lift off?
6.0 m/s2
0.06 m/s2
1.67 m/s2
0.167 m/s2

2. Relevant equations
Resultant force = thrust – weight
Acceleration = resultant force ÷ mass

3. The attempt at a solution
Weight: 2.0 x10^6 kg*9.8=19600000
Resultant Force: 1.2 x 10^7 N-19600000=-7600000
Acceleration: -7600000/2.0 x10^6 kg= -3.8 m/s^2
Not a choice and a negative acceleration

Last edited: Nov 16, 2015
2. Nov 16, 2015

### Staff: Mentor

Welcome to the PF.

Please show your work in detail so we can look for mistakes...

3. Nov 16, 2015

### SteamKing

Staff Emeritus
That's because you were given incorrect data for the total thrust at take off.

https://en.wikipedia.org/wiki/Space_Shuttle

The Shuttle used 3 SSME (Space Shuttle Main Engines) which provide a total thrust of 5250 kN at sea level. In addition to these, there were two Solid Rocket Boosters (SRB) which provided a thrust of 12,500 kN each.

4. Nov 16, 2015

### NatalieWise123

That would be a total thrust of 30,250,000 N. Then you'd do 30,250,000N-19,600,000= 10,650,000 to get resultant force.
The resultant force/mass would be: 10,650,000/2.0 x10^6 kg= 5.3 m/s^2. Right?? And that's not an answer choice.

5. Nov 16, 2015

### SteamKing

Staff Emeritus