Understanding the Concepts

* Newton's Second Law of Motion: This law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically:

* F = m * a

* Where:

* F = Force (N)

* m = Mass (kg)

* a = Acceleration (m/s²)

Solving the Problem

1. Find the mass:

* We know F = 30 N and a = 5 m/s². Let's rearrange Newton's Second Law to solve for mass (m):

* m = F / a

* m = 30 N / 5 m/s²

* m = 6 kg

2. Calculate the force needed for 1 m/s² acceleration:

* We know the mass (m = 6 kg) and the desired acceleration (a = 1 m/s²). Let's use Newton's Second Law again:

* F = m * a

* F = 6 kg * 1 m/s²

* F = 6 N

Answer:

You would need a force of 6 N to give the object an acceleration of 1 m/s².