Answer:
2 m/s²
Step-by-step explanation:
You want the acceleration produced by a force on 14 kg if that same force produces an acceleration of 7 m/s² when acting on a mass of 4 kg.
Inverse proportion
For the same force, the acceleration is inversely proportional to the mass. In this problem, the mass increases from 4 kg to 14 kg, a factor of 14/4 = 7/2.
The acceleration will change by a factor that is the inverse of this: 2/7.
acceleration of 14 kg = (7 m/s²) × (2/7) = 2 m/s²