Final answer:
The acceleration for an object with a difference in mass between m1 and m2 is 104.4 m/s², while the acceleration for an object with the sum of m1 and m2 as its mass is 183.6 m/s².
Step-by-step explanation:
To find the acceleration of an object with different masses, we can use the formula F = ma, where F is the force applied, m is the mass, and a is the acceleration. In this case, we know that the force gives object m1 an acceleration of 12.0 m/s² and object m2 an acceleration of 3.30 m/s².
(a) If we consider the difference between m1 and m2 as the mass of the object, we can substitute the values into the formula to find the acceleration: F = (m1 - m2) * a.
Acceleration = (12.0 kg - 3.30 kg) * 12.0 m/s²
Acceleration = 8.70 kg * 12.0 m/s²
Acceleration = 104.4 m/s²
(b) If we consider the sum of m1 and m2 as the mass of the object, we can use the same formula: F = (m1 + m2) * a.
Acceleration = (12.0 kg + 3.30 kg) * 12.0 m/s²
Acceleration = 15.3 kg * 12.0 m/s²
Acceleration = 183.6 m/s²