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A force of 30 newtons and a force of 20 newtons act
concurrently on an object. Which of the following
resultant forces could be produced using these two
forces?

A force of 30 newtons and a force of 20 newtons act concurrently on an object Which of the following resultant forces could be produced using these two forces class=

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facundo3141592

Answer: (2): 25 N.

Explanation:

We know that two forces act concurrently on the same object.

One force has a magnitude of 30 N, so the first force can be written as:

F = (fx, fy) such that:

30N = √(fx^2  + fy^2)

And other force of 20 N, let's call it G.

G = (gx, gy)

Such that:

20 N = √(gx^2 + gy^2)

Now, the maximum possible resultant force is when both forces point in the same direction.

Then we can directly add them; G + F = 20N + 30N = 50N

And the minimum resultant force is when both forces point in opposite directions, then we can directly subtract: F - G = 30N - 20N = 10N.

Then the resultant force, F', will be:

10N ≤ F' ≤ 50N.

The only option in that range is the second option, (2) 25N.

onyebuchinnaji

The resultant force produced by the two concurrent forces is 50 N.

The given parameters;

  • first coplanar force, F₁ = 30 N
  • second coplanar force, F₂ = 20 N

Concurrent forces, are forces acting at a point and the resultant of such forces is a single force when acting alone will balance the effect of the concurrent forces.

[tex]F_3 = F_1 + F_2[/tex]

where;

  • F₃ is the resultant force

[tex]F_3 = 30 \ N \ + \ 20 \ N\\\\F_3 = 50 \ N[/tex]

Thus, the resultant force produced by the two concurrent forces is 50 N.

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