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While studying stalactites in a cave, Hannah dropped her lantern down a hole 35m deep. How fastwas it traveling when it hit the ground? Use energy equations.

Sagot :

Given data

*The given height is h = 35 m

*The value of the acceleration due to gravity is g = 9.8 m/s^2

The formula for the speed of the lantern is given by the conservation of energy as

[tex]\begin{gathered} U_p=U_k \\ mgh=\frac{1}{2}mv^2 \\ v=\sqrt[]{2gh} \end{gathered}[/tex]

Substitute the known values in the above expression as

[tex]\begin{gathered} v=\sqrt[]{2\times9.8\times35} \\ =26.19\text{ m/s} \end{gathered}[/tex]

Hence, the speed of the lantern is v = 26.19 m/s