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17. A 15.0 kg water balloon is droppedfrom a balcony. If it strikes the ground with a speedof 20 m/s, how high is the balcony?

Sagot :

Given

m: mass

m = 15 kg

vo: initial speed

vo = 0m/s

vf: final speed

vf = 20 m/s

h: height

h = ?

Procedure

In the higher part the energy is potential of the system. In the lower part the energy is kinetic.

[tex]\begin{gathered} U=K \\ \text{mgh}=\frac{1}{2}mv^2 \\ gh=\frac{1}{2}v^2 \\ h=\frac{1}{2}\cdot\frac{v^2}{g} \\ h=\frac{20^2}{2\cdot9.8} \\ h=20.40m \\ \end{gathered}[/tex]

The height would be 20.40 m

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