Answer: a = 3 m/s^2
Explanation:
Let the acceleration of the object be represented by a
Let the constant force acting on the object be represented by k
Let the mass of the object represented by m
When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. This means that
a = k/m
When a certain constant force acts upon an object with mass 6 kg, the acceleration of the object is 7 /ms2. It means that when a = 7, m = 6. We would find k. Therefore
7 = k/6
k = 7×6 = 42
The expression becomes
a = 42/m
If the same force acts upon another object whose mass is 14 kg, it means that m = 14, then
a = 42/14 = 3