OctavianX590743 OctavianX590743
  • 25-10-2022
  • Physics
contestada

Forces of 3.0 N and 4.0 N act at right angles on a block of mass 2.0 kg. What is the acceleration of the block?

Respuesta :

JoseantonioG377916 JoseantonioG377916
  • 25-10-2022

Using Newton's Second Law:

[tex]F_{net}=ma[/tex]

But first, we need to find the net force, We can do this as follows:

Now, using Pythagorean theorem:

[tex]\begin{gathered} F_{net}=\sqrt{3^2+4^2} \\ F_{net}=\sqrt{9+16} \\ F_{net}=\sqrt{25} \\ F_{net}=5N \end{gathered}[/tex]

Now, solving for a from Newton's Second Law:

[tex]\begin{gathered} a=\frac{F_{net}}{m} \\ a=\frac{5}{2} \\ a=2.5m/s^2 \end{gathered}[/tex]

Answer:

2.5 m/s²

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