Final answer:
The acceleration of a 20 kg cart being pushed by a 14 N force is calculated using Newton's second law, resulting in an acceleration of 0.7 m/s².
Step-by-step explanation:
To calculate the acceleration of a 20 kg cart being pushed by a 14 N force, we apply Newton's second law of motion. This law is articulated as F = ma, where F is the force applied to an object, m is the mass of the object, and a is the acceleration of the object. To find the acceleration, we rearrange the formula to a = F/m.
So for a 20 kg cart pushed by 14 N force, the calculation would be: a = 14 N / 20 kg = 0.7 m/s². Therefore, the acceleration of the cart is 0.7 meters per second squared (m/s²).