Understanding the Relationship Between Force and Acceleration in Shopping Carts

Explanation:

When it comes to the relationship between force and acceleration, it is important to understand Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

In this scenario, both shopping carts have the same mass, so the only factor influencing their acceleration is the force applied to them. Shopping cart A is pushed with three times the force as shopping cart B, which means that shopping cart A experiences a greater net force than shopping cart B.

According to Newton's second law, the greater the force applied to an object, the greater its acceleration will be. In this case, since shopping cart A is pushed with three times the force of shopping cart B, shopping cart A will accelerate three times as fast as shopping cart B.

Therefore, the correct answer is that shopping cart A accelerates three times as fast as shopping cart B. This is because the force applied to shopping cart A is greater, leading to a higher acceleration due to the relationship described by Newton's second law of motion.