Exploring how multiple forces combine to determine the overall motion of an object.
Have you ever wondered why a heavy book stays perfectly still on a table, even though gravity is constantly pulling it toward the center of the Earth with immense force?
In the real world, objects rarely have just one force acting on them. A force is a push or a pull, measured in Newtons (N). When multiple forces act on an object simultaneously, we look at the Net Force (), which is the vector sum of all individual forces. Think of it like a mathematical 'tug-of-war.' If forces act in the same direction, we add them together. If they act in opposite directions, we treat one direction as positive and the other as negative, then combine them. The direction of the resulting net force determines which way the object will eventually move.
Two friends are pushing a car to the right. Friend A pushes with and Friend B pushes with .
Quick Check
If you pull a rope to the left with 10N and a friend pulls the same rope to the right with 15N, what is the net force?
Answer
5N to the right.
When the sum of all forces acting on an object equals zero (), we say the forces are balanced. This state is called mechanical equilibrium. An object in equilibrium experiences no change in its motion. If it was at rest, it stays at rest. If it was moving, it continues moving at a constant speed in a straight line. This is why a book stays on a table: the downward force of gravity is perfectly cancelled out by the upward normal force of the table. Because the forces are equal in size but opposite in direction, the net force is zero.
A shop sign weighing hangs from two vertical wires. Each wire pulls upward with a force of .
1. Upward forces: . 2. Downward force (gravity): . 3. Calculate net force: . 4. Result: The forces are balanced; the sign is in equilibrium and will not move.
Quick Check
True or False: An object moving at a constant speed in a straight line must have a net force of zero acting on it.
Answer
True
If the forces do not cancel out (), the forces are unbalanced. Unbalanced forces always cause a change in motion, known as acceleration. This means the object will either speed up, slow down, or change direction. The direction of the acceleration will always be the same as the direction of the net force. For example, if you are riding a bike and the force of your pedaling is greater than the force of air resistance and friction, you will accelerate forward.
A small model rocket is launched. The engine provides an upward thrust of . The force of gravity pulling down is , and air resistance (friction) pushes down with .
1. Total downward forces: . 2. Upward force: . 3. Calculate net force: . 4. Result: The net force is upward, so the rocket accelerates toward the sky.
A box is pushed to the left and to the right. What is the net force?
Which of the following describes an object with unbalanced forces acting on it?
If an object has a net force of 10N acting on it, its motion must be changing.
Review Tomorrow
In 24 hours, try to explain to a friend why a car traveling at a perfectly steady 60 mph on a straight highway is actually in a state of equilibrium.
Practice Activity
Look at a lamp in your room. Identify the two main forces acting on it and determine if they are balanced or unbalanced.