Question

A 1.32 kg hammer and a 0.03 kg falcon feather are simultaneously dropped on the Moon where the acceleration due to gravity is 1.62 m/s2 downward. If they are dropped from a height of 1.5 m, how long will they take to reach the ground? Draw the position-time graph and free-body diagram for the feather as it falls.

Answer 1

`\begin{gathered} h=1.5m \\ g=1.62m/s^2 \\ t=\text{?} \\ h=(gt^2)/(2) \\ Solv\text{ing t} \\ gt^2=2h \\ t^2=(2h)/(g) \\ t=\sqrt{(2h)/(g)} \\ t=\sqrt{((2)(1.5m))/(1.62m/s^2)} \\ t=1.36\text{ s} \\ \text{The time to reach the ground is 1.36 s} \end{gathered}`