(Solved): If forces are vectors, we can denote combinations of forces such as those applied to the cart above ...

If forces are vectors, we can denote combinations of forces such as those applied to the cart above, as \[ \sum \vec{F}=\vec{F}_{1}+\vec{F}_{2} \] where \( \sum \vec{F} \) represents the vector sum of two (or more) forces. Some textbooks refer to a combination of forces or a combined force as a net force. Other text authors write about the resultant force. Combined, resultant or net force all refer to the same thing. You should recall that velocities and accelerations are also vectors. They also have magnitudes and directions. c. Compare the two cases below - the top model has a single force. The bottom model has two forces, with the same magnitude and direction as the first. As you consider these two scenarios, describe how the velocity and acceleration compare to the cart with just one spring seale and the cart with two spring scales attached. If forces add as vectors, what value would you expect for tho magnitude and direction of the combination of forces applied by both spring scales on the cart? What do you suppose would be the effect of the combination of the two forces on the motion of the cart?