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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 32 N acts on a certain object, the acceleration of the object is 4 m/s^2. If the acceleration of the object becomes 7 m/s^2, what is the force?

Respuesta :

Answer:

The new force acting on the object is 56 N.

Step-by-step explanation:

The force acting on the object is given by the product of mass and its acceleration. Its mathematical form is given by :

[tex]F=ma[/tex]

It means that force is acting on the object varies directly with the object's acceleration.

We have,

[tex]F_1=32\ N\\\\a_1=4\ m/s^2\\\\a_2=7\ m/s^2[/tex]

F₂ is new force

So,

[tex]\dfrac{F_1}{F_2}=\dfrac{a_1}{a_2}\\\\F_2=\dfrac{F_1a_2}{a_1}\\\\F_2=\dfrac{32\times 7}{4}\\\\F_2=56\ N[/tex]

So, the new force acting on the object is 56 N.

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