Final answer:
The acceleration of the first cart with a mass of 10 kg is 1 m/s², and of the second cart with a mass of 20 kg is 0.5 m/s², using Newton's second law of motion.
Step-by-step explanation:
The acceleration of the carts can be calculated using Newton's second law of motion, which states that the force F on an object is equal to its mass m multiplied by its acceleration a. The formula for this law is F = m × a.
- For the first cart with a mass of 10 kg, the acceleration a is given by a = F / m = 10 N / 10 kg, which equals to 1 m/s².
- For the second cart with a mass of 20 kg, the acceleration a is given by a = F / m = 10 N / 20 kg, which equals to 0.5 m/s².