Final answer:
When the force applied to the cart is doubled, the acceleration of the cart will remain the same.
Step-by-step explanation:
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. In this case, when the force applied to the cart is doubled, the acceleration of the cart will also double.
To understand this, we can use the formula:
acceleration = net force / mass
Let's assume the initial acceleration of the cart is a. When the force is doubled, the new force will be 2 times greater than the initial force. So, the new acceleration, a', can be calculated using the formula:
2a' = (2 × initial force) / mass
Simplifying this equation, we find that a' = a, which means that the acceleration will remain the same when the force is doubled.