Understanding the Concepts

* Newton's Second Law of Motion: This law states that the force acting on an object is directly proportional to its mass and acceleration. Mathematically, this is expressed as: F = m * a

* F = force (measured in Newtons, N)

* m = mass (measured in kilograms, kg)

* a = acceleration (measured in meters per second squared, m/s²)

Solving the Problem

1. Calculate the Force:

* We know the initial acceleration (a = 0.5 m/s²) and the initial mass (m = 1 kg).

* Using Newton's Second Law: F = (1 kg) * (0.5 m/s²) = 0.5 N

2. Determine the New Acceleration:

* The force (0.5 N) remains the same.

* The new mass is 2 kg.

* Using Newton's Second Law again: 0.5 N = (2 kg) * a

* Solving for acceleration: a = 0.5 N / 2 kg = 0.25 m/s²

Answer:

If the same force acts on a 2 kg mass, the acceleration will be 0.25 m/s².