Understanding the Concepts
* Newton's Second Law: 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. The equation is: F = ma (Force = mass x acceleration)
* Force: A push or pull that can change the motion of an object.
* Acceleration: The rate of change of velocity over time.
Solving the Problem
1. Finding the Mass: We know the force (10 N) and the acceleration (3 m/s²). We can rearrange Newton's Second Law to find the mass:
* m = F / a = 10 N / 3 m/s² = 3.33 kg (approximately)
2. Doubling the Acceleration: To double the acceleration to 6 m/s², we need to double the force.
* New Force: F = ma = (3.33 kg)(6 m/s²) = 20 N
Answer: To cause the acceleration to double to 6 m/s², you would need to double the force applied to the object to 20 Newtons.
