MaddieEnright10639 MaddieEnright10639
  • 11-10-2022
  • Physics
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A wrecking ball on a 15.4 m longcable is pulled back to an angle of33.5° and released. At what speedis it moving at the bottom of itsswing?(Unit = m/s)Enter

A wrecking ball on a 154 m longcable is pulled back to an angle of335 and released At what speedis it moving at the bottom of itsswingUnit msEnter class=

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moneyeveryday11730 moneyeveryday11730
  • 11-10-2022

Given data

*The given length of the cable is L = 15.4 m

*The given angle is

[tex]\theta=33.5^0[/tex]

The formula for the height is given as

[tex]h=L(1-\cos \theta)[/tex]

Substitute the values in the above expression as

[tex]\begin{gathered} h=15.4(1-\cos 33.5^0) \\ =2.57\text{ m} \end{gathered}[/tex]

The formula for the velocity of the ball at the bottom of its swing is given as

[tex]v=\sqrt[]{2gh}[/tex]

[tex]\begin{gathered} v=\sqrt[]{2\times9.8\times2.57} \\ =7.09\text{ m/s} \end{gathered}[/tex]

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