Final answer:
The initial acceleration of the object is approximately 0.14 m/s².
Step-by-step explanation:
Newton's second law states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. Mathematically, this can be expressed as:
Fnet = ma
where Fnet is the net force, m is the mass of the object, and a is the acceleration. To find the initial acceleration of an object with a mass of 42 kg when a force of 6 N is applied, we can rearrange the equation to solve for acceleration:
a = Fnet / m
Substituting the given values:
a = 6 N / 42 kg
Dividing the force by the mass, we find that the initial acceleration of the object is approximately 0.14 m/s².