Final answer:
The acceleration of a 3-kg object being pushed by a force of 45 N on a frictionless surface is 15 m/s² to the right.
Step-by-step explanation:
To calculate the acceleration of a 3-kg object being pushed along a frictionless surface with an applied force of 45 N, we can use Newton's second law of motion. The law states that the acceleration of an object is directly proportional to the net external force acting on the object and inversely proportional to its mass (a = F/m).
For this particular case, the mass (m) of the object is 3 kg and the force (F) applied is 45 N. Therefore, the acceleration (a) can be calculated as follows:
a = F/m
a = 45 N / 3 kg
a = 15 m/s²
Hence, the acceleration of the object is 15 m/s² to the right.