Final answer:
The acceleration of the second object will be 4.8 m/s².
Step-by-step explanation:
To solve this problem, we can use Newton's second law. The formula is F = ma, where F is the force, m is the mass, and a is the acceleration.
Given that the force applied to the first object caused an acceleration of 2.4 m/s², and the second object has half the mass of the first, we can assume that the force applied to the second object is the same.
The formula for the acceleration of the second object is a = F/m. Plugging in the values, we get a = 2.4 m/s² / (0.5 kg) = 4.8 m/s².