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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 20 N acts on a certain object, the acceleration of the object is 5 m/s². If the acceleration of the object becomes 3 m/s², what is the force?

Respuesta :

Answer: F=15N

Step-by-step explanation:

1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:

Where  is the force acting on the object,  is the object's acceleration and  is the constant of proportionality.

2. Keeping this on mind, you can calculate the constant of proportionality by substituting  and  into the equation and solving for K:

3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following: F=3(5)

3. The result is: F=15N

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