Lunar Landing
Overview
| Difficulty | Proficient (3/4) |
| Topics | Mechanics, Dynamics, Newton's 2nd Law |
A lunar lander with mass \(m\) falls on the Moon with initial downward velocity \(v_0\) from a height \(h\).
Calculate and set the correct thrust \(F_t\) so the lander lands with a velocity not exceeding \(10\; m/s\).
If thrust is too high, the velocity becomes upward before reaching the ground and the lander flies away. If thrust is too low, the lander crashes into the surface.
Relevant Equations
\[v_x^2 = v_{0x}^2 + 2a_x\Delta x\]
\[m\vec{a} = \sum \vec{F_i}\]
\[F_g = mg\]
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