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4/6
Week 02 Β· Pushes, Pulls and Balanced Forces

Thursday

Reading a force table
// What changes a motion, and what leaves it alone
⏱ about 20 min

Thursday: Reading a Force Table

Raven lays two printed pages on the picnic table. "NASA's three laws of motion, and a wagon from a physics text."

Rocket reads the wagon page. "Two children push a wagon with a third child inside. It moves at a steady speed."

"What do you notice about the forces listed?" Raven asks.

"Five of them!" Rocket says. "Two pushes, friction, weight and the ground pushing up. And the wagon still goes steady?"

Nova hovers over the page. "Steady speed. What does the first law say about the net force?"

"Zero," Rocket says slowly. "So all five add up to nothing."

Raven nods. "Five forces, perfectly balanced. Let us read them one at a time."

NASA's three laws

NASA Glenn Research Center publishes a review table of Newton's three laws of motion. Here it is in plain words.

This week is about the first law. The second law comes next week, and the third law comes in week 9.

LawWhat NASA says
First law (inertia)An object at rest remains at rest, and an object in motion remains in motion at constant speed and in a straight line unless acted on by an unbalanced force.
Second law (force)The acceleration of an object depends on the mass of the object and the amount of force applied.
Third law (action and reaction)Whenever one object exerts a force on another object, the second object exerts an equal and opposite force on the first.

Five forces on one wagon

The OpenStax physics text describes two children pushing a third child in a wagon at a constant velocity.

The wagon and its rider are the system. Five external forces act on that system.

Because the wagon moves at a constant velocity, all of the forces must add up to zero.

Force on the wagon systemDirectionWhere it comes from
Push from the first childforwardthe first child's hands
Push from the second childforwardthe second child's hands
Frictionagainst the motionthe wheel axles and the ground
WeightdownEarth's gravity
Normal forceupthe ground pushing back
USE THE TABLES
  • Read the question.
  • Tap your answer.
Which law in NASA's table is this week about?
In the wagon table, how many forces point forward?
The wagon moves at a constant velocity. What does that say about its net force?

Up and down, forward and back

OpenStax points out that the wagon does not move up or down. So the normal force from the ground balances the weight.

Forward and back, the two pushes together must balance the friction. Otherwise the wagon would speed up or slow down.

Pairs of forces can balance in each direction separately. That is how five forces add to zero.

OpenStax also explains free body diagrams. The object is drawn as a point, and each force is an arrow.

The length of each arrow shows the strength of the force. Equal arrows pointing opposite ways cancel.

In the wagon example, the weight is balanced by the ____ force from the ground.
The two forward pushes are balanced by ____.
StatementTrue or false?
The wagon has five forces on it and still moves at constant velocity.?
In a force diagram, a longer arrow means a stronger force.?
The weight of the wagon points forward.?
Equal arrows pointing in opposite directions cancel.?
WHY THIS EXERCISEReading forces in pairs turns a confusing picture into a simple sum.
How many forces does the OpenStax text list on the wagon system? Type a number.
WHY THIS EXERCISEEven five forces give a net force of zero when they balance.
DRAW A FORCE DIAGRAM
  • Tap a card.
  • Then tap its spot.
1First
2Second
3Third
4Fourth
Try it
Set a book on a table. Draw its force diagram: a point, weight down, normal force up.
Now slide the book gently and let it stop. Add a friction arrow to a second diagram.
Draw the wagon as a point with five arrows, labeled with the five forces from the table.

Excellent reading. Tomorrow you will find balanced and unbalanced forces all over sport, and review the week.

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