For a moving object, the force acting on the object varies directly with the object's acceleration. when a force of 18 n acts on a certain object, the acceleration of the object is 6 /ms2 . if the acceleration of the object becomes 5 /ms2 , what is the force?

The acceleration that an objects gains is given by the mass of the object.

Reason:

The given parameters are;

The acting force ∝ The acceleration of the object.

The acceleration given by an amount of force, F, of 18 N = 6 m/s²

Required:

The force acting on the object acceleration, a, is 5 m/s².

Solution:

According to Newton's Second Law of motion, we have;

F = m·a

Where;

m = The mass of the object

Therefore, we have;

From the conditions, F = 18 N, when a = 6 m/s², we have, the mass of the

given object is given as follows;

The force acting when the the acceleration, a = 5 m/s², is therefore;

F = 3 kg × 5 m/s² = 15 N

If the acceleration of the object becomes 5 m/s² the force is 15 N.

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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 :

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

3. The result is: