A student wanted to investigate changing the mass of a car that you can push. The student push both carts with a force of 200 N if one car has a mass of 100 kg in the other car, a mass of 50 kg white results with a student expect to see as far as how fast each car moved in comparison with one another.
Based on Newton's second law of motion (F = ma), the acceleration of an object is directly proportional to the net force applied on it and inversely proportional to its mass.
In this scenario, both carts experience the same force of 200 N applied by the student. According to Newton's second law, the cart with a mass of 100 kg will have an acceleration of:
a1 = F/m1 = 200 N / 100 kg = 2 m/s²
Similarly, the cart with a mass of 50 kg will have an acceleration of:
a2 = F/m2 = 200 N / 50 kg = 4 m/s²
Comparing the accelerations, we can see that the cart with a mass of 50 kg will experience twice the acceleration of the cart with a mass of 100 kg. Hence, the cart with a mass of 50 kg is expected to move faster than the cart with a mass of 100 kg.
However, it's important to note that this analysis assumes frictionless conditions. In reality, factors such as friction, air resistance, and the smoothness of the surface can affect the actual movement of the cars.