Respuesta :

[tex]QUESTION:[/tex]

a body of mass 10kg at rest is subjected force of 16N. Find the kinetic energy at end of 20s.

[tex]SOLUTION:[/tex]

[tex]Given[/tex] [tex]that:[/tex]

  • Mass = 10kg
  • Initial Velocity (u) = 0
  • Force = 16 N
  • Time = 20 seconds

» Finding for the acceleration:

[tex]a=F/m[/tex]

[tex]a=16N/10kg[/tex]

[tex]a=1.6/s^2[/tex]

» Then velocity after 20 seconds will be:

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

[tex]v=0+1.6m/s^2(20s)[/tex]

[tex]v=32/s^[/tex]

» Now , Finding for the kinetic energy:

[tex]K=1*2mv^2[/tex]

[tex]K=1/2(10)(32)^2[/tex]

[tex]K=5(1024)[/tex]

[tex]K=5120[/tex] [tex]J[/tex]

[tex]ANSWER:[/tex]

  • The kinetic energy aquired by the body is 5,120 Joules

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[tex] \large \sf \underline{Problem:}[/tex]

  • A body of mass 10kg at rest is subjected force of 16N. Find the kinetic energy at end of 20s.

===================================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \huge \qquad \quad \sf{5,120 \: Joules}[/tex]

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[tex] \large \sf \underline{Solution:}[/tex]

Firstly, find the acceleration:

  • [tex]\sf{A = F/m}[/tex]
  • [tex]\sf{A = 16N/10kg}[/tex]
  • [tex]\sf \pmb{A = 1.6m/s^2}[/tex]

Secondly, the velocity after 20 seconds will be:

  • [tex]\sf{V =u+at}[/tex]
  • [tex]\sf{V =0+1.6m/s^2(20s)}[/tex]
  • [tex]\sf \pmb{V =32m/s}[/tex]

Lastly, find the kinetic energy:

  • [tex]\sf{K=1/2mv^2}[/tex]
  • [tex]\sf{K=1/2(10)(32)^2}[/tex]
  • [tex]\sf{K=5(1024)}[/tex]
  • [tex]\sf{\underline{\underline{\pmb{K=5120\:J}}}}[/tex]

Hence, the kinetic energy at the end is 5,120 Joules.

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