ANSWER :

›»› The ACCELERATION produced by the object is 2 m/s².

Given :

• A force acts on an object of 4kg to produce an acceleration of 3 m/s².
• The same force acts on an object of 6 kg.

To Calculate :

• The acceleration produced by the object.

Calculation :

Here in this question we have to calculate the acceleration produced by the object when the same force acts on an object of 6 kg. So, firstly we need to find the force acts on the object, after that we will calculate the acceleration produced by the object on the basis of conditions given above.

We can find the force acts on the object by using the second law of Newton which says F = ma.

And, we can also calculate the acceleration produced by the object by using the second law of Newton which says F = ma.

Finding force acts on the object.

From second law of Newton.

→ F = ma

→ F = 4 × 3

→ F = 12 N

Now,

Calculating acceleration produced by the object.

From second law of Newton.

→ F = ma

→ 12 = 6 × a

→ 12 = 6a

→ a = 12/6

→ a = 2

Hence, the acceleration produced by the object is 2 m/s².

Verification :

→ F = ma

→ 12 = 6 × 2

→ 12 = 12

Here, LHS = RHS

Hence VERIFIED !