Final answer:
According to Newton's second law of motion, if the force applied to a mass doubles, the acceleration will also double.
Step-by-step explanation:
The relationship between force, mass, and acceleration is described by Newton's second law of motion, which states that force equals mass multiplied by acceleration. In this case, if the force applied to the mass doubles, the acceleration would also double.
Example:
If the force applied to the mass is 2 N and the resulting acceleration is 2 m/s^2, then we can calculate the mass using Newton's second law:
Force = mass × acceleration
2 N = mass × 2 m/s^2
Simplifying the equation, we find:
mass = 1 kg
So, if the force doubled to 4 N, the new acceleration would be:
Force = mass × acceleration
4 N = 1 kg × acceleration
Simplifying the equation:
acceleration = 4 m/s^2