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Neil Armstrong dropped a hammer on the moon. If it took 4 seconds to fall and the final speed was 8 ms, what is theacceleration due to gravity on the moon?

User Gandi
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1 Answer

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ANSWER


g=2\text{ m/s}^(2)

Step-by-step explanation

We want to find the acceleration due to gravity on the moon.

To do this, we have to apply one of the equations of motion for a body falling freely under gravity:


v=u+gt

where u = initial velocity

v = final velocity

g = acceleration due to gravity

t = time taken

Neil Armstrong dropped the hammer, so its initial velocity is 0 m/s:


\begin{gathered} u=0\text{ m/s} \\ v=8\text{ m/s} \\ t=4\text{ s} \end{gathered}

We have to solve for g:


\begin{gathered} 8=0+g\cdot4 \\ \Rightarrow4g=8 \\ g=(8)/(4) \\ g=2\text{ m/s}^(2) \end{gathered}

That is the acceleration due to gravity on the moon.

User Wismin
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