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What is the acceleration of an object with mass of 42.6 kg when an unbalanced force of 112 N is applied to it

Respuesta :

The answer is 2.63m/s^2! You use the formula F=ma, 112 = 42.6(a), a= 2.63m/s^2.

Answer:

[tex]2.63m/s^2[/tex]

Explanation:

To solve this problem we use Newton's second law, which establishes a relationship between mass, acceleration and force applied to an object.

[tex]F=ma[/tex]

Where [tex]F[/tex]  is the force, [tex]m[/tex] is the mass and [tex]a[/tex] is the acceleration. Because they ask us for acceleration, we clear for  [tex]a[/tex]:

[tex]a=\frac{F}{m}[/tex]

And since we have the following information:

[tex]m=42.6kg[/tex] and [tex]F=112N[/tex]

the acceleration will be:

[tex]a=\frac{112N}{42.6kg}[/tex]

[tex]a=2.629m/s^2[/tex]≈ [tex]2.63m/s^2[/tex]

The answer is that the acceleration of the object is [tex]2.63m/s^2[/tex]

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