anonymous
  • anonymous
a ball, starting from rest, requires a speed of 10 m/s when a force is applied for a distance of 40 m. if the ball has a mass of 5 kg, what is the force being applied?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Okay, you can tell this is an energy problem, as opposed to an acceleration problem, because they give you force and distance as opposed to force and time.
anonymous
  • anonymous
So you want to first find the kinetic energy of the ball.\[\Large E_{kinetic}=\frac{1}{2}mv^2\]
anonymous
  • anonymous
Now work is just the change in energy. Since the ball started at rest, it started at 0 energy so\[\Large E_{work} = E_{kinetic} - 0 = E_{kinetic}\]

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anonymous
  • anonymous
Work is force times distance so: \[\Large E_{work}=Fd\]\[\Large F = \frac{1}{d}E_{work}\]
anonymous
  • anonymous
Combine it all together and we get:\[F=\frac{1}{d}\frac{1}{2}mv^2\]Where \(d = 20m\), \(m=5kg\), and \(v=10m/s\)
anonymous
  • anonymous
@raytiller1 I couldn't have made it any easier for you without giving you the answer.
anonymous
  • anonymous
so \[\frac{ 1 }{ 20 }\frac{ 1 }{ 2 } 20(10)\]
anonymous
  • anonymous
@wio
anonymous
  • anonymous
You need to square velocity
anonymous
  • anonymous
You also need to look at my formula and understand what I did.

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