Question

section 2: newton’s second law formula
newton’s second law explains the relationship between mass, force, and acceleration. recall mass is a measure of the amount of matter in an object, force is a push or a pull on an object, and acceleration is the rate of change of an object’s velocity. newton’s second law states the acceleration of an object is directly proportional to the net force and inversely proportional to the mass. net force is simply the sum of all forces acting on an object.
based on everyday phenomena, we can describe this law. here’s an example: two vehicles are stalled on the road - one is a very large pickup truck, and the other is a compact car that only seats two people. it takes four people to push the truck off the road and just one person to push the car off the road. that is newton’s second law in action! an object that is heavy, or has more mass, requires more effort to move than a lighter object.
mathematically, this law may be written as a net force (f_net) equals the product of the mass of the object (m) and the acceleration of the object (a), or: f_net = m a
this equation demonstrates that the magnitude of the net force acting on the object is directly proportional to the acceleration of the object. it is important to note that the acceleration of the object will be in the same direction as the direction in which the net force is applied.

segment 1: forces & motion scope 1: newton’s second law explain
respond to the question in the box below:

1. describe the relationship between force and acceleration. how does this connect to an example you read above or in the explore activity with the toy truck?

Explanation:

According to Newton's second - law ($F_{net}=ma$), force and acceleration are directly proportional when mass is constant. In the example of the vehicles, the pickup truck requires more people (more force) to move it compared to the compact car. This is because the truck has more mass. To achieve the same acceleration for the truck as for the car, a greater force is needed due to its larger mass.

Answer:

The force and acceleration are directly proportional when mass is constant. In the vehicle example, the more - massive truck requires more force to move, showing that for a given acceleration, more mass needs more force as per Newton's second law.