Question

A force acts on a 2 kg mass and gives it an acceleration of 3 m/s2. What acceleration is produced by the same force when acting on a mass of:

a) 1 kg

Answer 1

Using Newton's second law, F = ma, a force of 6 newtons acting on a 2 kg mass gives an acceleration of 3 m/s². For a 1 kg mass, the acceleration would be 6 m/s², and for a 4 kg mass, the acceleration would be 1.5 m/s².

Step-by-step explanation:

The original question pertains to Newton's second law, which states that the force acting on an object is equal to the mass of the object times its acceleration (F = ma). Given a 2 kg mass with an acceleration of 3 m/s2, we first calculate the force and then use it to find the accelerations for different masses.

Solution

1. Force calculation: F = ma = 2 kg × 3 m/s2 = 6 N
2. Acceleration for 1 kg: a = F/m = 6 N / 1 kg = 6 m/s2
3. Acceleration for 4 kg: a = F/m = 6 N / 4 kg = 1.5 m/s2

Therefore, the accelerations produced by the same force are 6 m/s2 for 1 kg and 1.5 m/s2 for 4 kg. The magnitude of the force is 6 newtons.

The Complete Question is:

A force acts on 2 kg mass and gives it an acceleration of 3m/s2. What acceleration is produced by the same force when acting on a mass of (a) 1 kg (b) 4 kg (c) how large is the force?