Physics

Problem

1.2\,\times\,10^{3}\,\text{kg}

spacecraft already experiences a

1.8\,\text{kN}

force directed along

+x

due to the solar wind. Its main engine can provide thrusts up to

20\,\text{kN}

in any direction. Mission control requires the craft to accelerate at

15\,\text{m/s}^{2}

in a direction

30^\circ

above the

+x

axis (in the xy-plane). Which of the following best states the additional engine thrust magnitude needed and whether the requirement is within the engine’s capability? a)

20\,\text{kN}

; requirement is just at the limit b)

17\,\text{kN}

; requirement is achievable c)

16\,\text{kN}

; requirement is achievable d)

18\,\text{kN}

; requirement is achievable

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