Example 1: using F = ma
A 40 kg box is pushed with 100 N; friction is 20 N. Find its acceleration.
- Resultant force = 100 − 20 = 80 N.
- a = F ÷ m = 80 ÷ 40 = 2 m/s².
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Why do passengers lurch forwards when a bus brakes? How does a rocket push itself into space? Why does an empty trolley speed up more easily than a full one? More than 300 years ago, Isaac Newton described three simple laws that answer all these questions and still guide the design of every car, aircraft and spacecraft.
Recommended for MYP 3 · About 3 lessons · Criteria A, B, C and D
By the end of this topic you should be able to:
You will use these skills. If any feel shaky, review them first.
Newton's first law says an object stays at rest or keeps moving at a constant velocity unless a resultant force acts on it. This tendency to keep doing the same thing is called inertia, and it is why seatbelts are needed.
Newton's second law says the resultant force on an object equals its mass times its acceleration: F = ma. A bigger force gives a bigger acceleration; a bigger mass gives a smaller acceleration for the same force.
Newton's third law says that when object A pushes or pulls object B, B pushes or pulls A with an equal force in the opposite direction. These force pairs act on different objects, which is how rockets, swimmers and walkers move.
Engineers use these laws to calculate braking forces, design safety features such as seatbelts and crumple zones, and launch spacecraft.
Newton's laws link to speed and acceleration, momentum, pressure and energy in physics, and later to gravity, orbits and circular motion.
Seatbelts, airbags and child car seats protect people because of inertia. Truck brakes must provide huge forces because of their large mass. Rockets launched from spaceports around the world rely on the third law.
A 40 kg box is pushed with 100 N; friction is 20 N. Find its acceleration.
A person pushes a wall with 50 N. What does the wall do?
Questions on Newton's laws often use free-body diagrams, calculations and everyday situations. Expect to:
Common mistakes: using the driving force instead of the resultant force in F = ma; thinking a moving object needs a resultant force to keep moving; calling two balanced forces on one object a third law pair; and forgetting units (N, kg, m/s²).
Quick questions on the ideas above. Try each one before using a hint.
Partially guided investigation · about 45 minutes · groups
Safety. Drop from a safe, stable position (an adult should hold any step or stool) and keep the area below clear.
Then evaluate: how could light gates or a video make the timing more accurate?
Harder problems in unfamiliar contexts. Plan before you calculate.
Five questions picked at random from the whole topic. Take a new set whenever you like.
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