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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 8 N acts on a certain object, the acceleration of
the object is 4 m's?. If the force is changed to 18 N, what will be the acceleration of the object?

Respuesta :

Answer:

[tex]9\ m/s^2[/tex]

Step-by-step explanation:

For a moving object, the force acting on the object varies directly with the object's acceleration.

F ∝ a

or

[tex]\dfrac{F_1}{a_1}=\dfrac{F_1}{a_2}[/tex]

Put F₁ = 8 N, a₁ = 4 m/s², F₂ = 18 N and a₂ = ?

Put all the values,

[tex]\dfrac{8}{4}=\dfrac{18}{a_2}\\\\2=\dfrac{18}{a_2}\\\\a_2=9\ m/s^2[/tex]

So, the new acceleration is [tex]9\ m/s^2[/tex].