What happens when two forces act in the same direction on an object in terms of net force and motion...

When two forces act on an object in the same direction, the net force on the object is the sum of the magnitudes of the two forces. This is because forces are vector quantities, which means they have both magnitude and direction. When vectors point in the same direction, their magnitudes add up.

Let's denote the two forces as $F_1$ and $F_2$, with both forces acting in the same direction. To find the net force ($F_{net}$) acting on the object, we simply add the magnitudes of $F_1$ and $F_2$:

$$F_{net}=F_1+F_2$$

This net force will cause the object to accelerate in the direction of the forces, according to Newton's second law of motion, which states that the acceleration ($a$) of an object is directly proportional to the net force acting on it and inversely proportional to its mass ($m$), given by the formula:

$$a=\frac{F_{net}}{m}$$

The direction of the acceleration will be the same as the direction of the net force and, consequently, the same as the direction of the individual forces.

Let's consider an example to illustrate this. Suppose we have two forces, $F_1=10$ N and $F_2=15$ N, acting on a 5 kg object in the same direction. To find the net force, we add the two forces:

$$F_{net}=F_1+F_2=10\text{N}+15\text{N}=25\text{N}$$

Now, using Newton's second law, we can find the acceleration of the object:

$$a=\frac{F_{net}}{m}=\frac{25\text{N}}{5\text{kg}}=5{\text{m/s}}^2$$

This means the object will accelerate in the direction of the forces at $5{\text{m/s}}^2$.

In summary, when two forces act in the same direction on an object, the net force is the sum of the forces, and this net force determines the acceleration of the object according to Newton's second law. The object will move in the direction of the forces with an acceleration proportional to the net force and inversely proportional to its mass.