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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 15 N acts on a certain object, the acceleration of the object is 5 /ms2. If the acceleration of the object becomes 9 /ms2, what is the force?

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TaeKwonDoIsDead

Answer:

27 N

Step-by-step explanation:

Since force varies directly with acceleration, we can introduce a constant, k, and write  [tex]F=ka[/tex]

When force is 15, acceleration is 5, so plug it into the equation and solve for k:

[tex]F=ka\\15=k(5)\\k=\frac{15}{5}\\k=3[/tex]

Now, to find force, we use a = 9 and k = 3, so

[tex]F=ka\\F=(3)(9)\\F=27[/tex]

The force is 27 N

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