Final answer:
The net force acting on a 0.5-kilogram cart that accelerates at 2 m/s² on a frictionless track is 1 N, as calculated using Newton's second law of motion (F = m × a).
Step-by-step explanation:
In physics, Newton's second law of motion provides a fundamental equation to determine the net force acting on an object. The law states that the force (F) acting on an object is equal to the product of its mass (m) and acceleration (a), expressed by the formula F = m × a.
Applying this law to the given scenario, where the mass of the cart is 0.5 kilograms and the acceleration is 2 m/s², the calculation becomes:
F= m*a=0.5kg*2m/s^2=1N
This result signifies that the net force acting on the cart is 1 Newton. Newton is the standard unit of force in the International System of Units (SI). The net force represents the overall force acting on the cart, taking into account both its mass and the rate at which its velocity is changing.
Understanding and applying Newton's second law of motion is foundational in physics, providing a quantitative relationship between force, mass, and acceleration. In this context, the calculated net force of 1 N for the cart indicates the force required to produce the observed acceleration, highlighting the inherent connection between motion and the forces acting on objects in the realm of classical mechanics.