baleycardell213 baleycardell213
  • 04-02-2020
  • Physics
contestada

A 40-kg rock is dropped from an elevation of 10 m. What is the velocity of the rock when it is 5-m from the ground?

Respuesta :

nuuk nuuk
  • 05-02-2020

Answer:

Explanation:

Given

mass of rock [tex]m=40\ kg[/tex]

Elevation of Rock [tex]h=10\ m[/tex]

Distance traveled by rock with time

[tex]h=ut+\frac{1}{2}at^2[/tex]

where, u=initial velocity

t=time

a=acceleration

here initial velocity is zero

when rock is 5 m from ground then it has traveled a distance of 5 m from top because total height is 10 m

[tex]5=0\times t+\frac{1}{2}(9.8)(t^2)[/tex]

[tex]t^2=\frac{10}{9.8}[/tex]

[tex]t=1.004\approx 1\ s[/tex]

velocity at this time

[tex]v=u+at[/tex]

[tex]v=0+9.8\times 1.004[/tex]

[tex]v=9.83\ m/s[/tex]

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