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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 acts on a certain object, the acceleration of the object is . If the acceleration of the object becomes , what is the force?

Answer :

skyluke89

Answer:

15 N

Step-by-step explanation:

The relationship between force, mass and acceleration of an object is given by Newton's second law of motion:

[tex]F=ma[/tex]

where:

F is the force

m is the mass

a is the acceleration

For the object in this problem, at the beginning we have

F = 18 N

[tex]a=6 m/s^2[/tex]

So, the mass of the object is

[tex]m=\frac{F}{a}=\frac{18}{6}=3 kg[/tex]

Later, we are told that the acceleration of the object becomes

[tex]a=5 m/s^2[/tex]

And the mass of the object is still the same, therefore the new force exerted on the object is:

[tex]F=ma=(3)(5)=15 N[/tex]

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