A planetary lander of mass must accelerate horizontally at while maintaining constant…

PHYSICS · Subjective · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A planetary lander of mass

1.2\times10^{3}\,\text{kg}

must accelerate horizontally at

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

while maintaining constant altitude on a world where

g = 9.8\,\text{m/s}^2

. Its single engine can tilt so that the thrust vector makes an angle

\theta

above the horizontal. Ignoring air resistance, calculate the minimum thrust magnitude the engine must produce to achieve this maneuver.