demarijonmcneill demarijonmcneill
  • 03-03-2021
  • Mathematics
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What is the speed (approximately) of a 2.5-kilogram mass after it has fallen freely from rest through a distance of 12 meters?

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Camille1101
Camille1101 Camille1101
  • 03-03-2021

Answer:

15.3 m/s

Step-by-step explanation:1) Find the gravitational potential energy using the equation :

     [tex]PE_g=mgh[/tex]

    [tex]PE_g=2.5(12)(9.8)\\PE_g=294[/tex]

2) Then use the equation for kinetic energy to solve for the velocity:

     [tex]KE=\frac{1}{2} mv^{2}[/tex]

     [tex]294=\frac{1}{2}(2.5)(v^2)\\235.2=v^2\\\sqrt{235.2} =v\\15.3 m/s=v[/tex]

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