The magnitude of the net force on an object is the product of its mass, m, and its acceleration, a. The formula for this relationship is shown.
F=m⋅a
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Different forces exerted on the same mass produce different accelerations. Two children push a wagon with a child in it. Arrows representing all external forces are shown. The system of interest is the wagon and its rider. The weight w of the system and the support of the ground N are also shown for completeness and are assumed to cancel. The vector f represents the friction acting on the wagon, and it acts to the left, opposing the motion of the wagon.
- All of the external forces acting on the system add together to produce a net force, Fnet.
- The free-body diagram shows all of the forces acting on the system of interest.
- The dot represents the center of mass of the system.
- Each force vector extends from this dot.
- Because there are two forces acting to the right, we draw the vectors collinearly.
- A larger net external force produces a larger acceleration (a′ > a) when an adult pushes the child.
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