4 Newton's Second Law of Motion

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5

Newton’s Third Law of Motion

Main topics:

• Forces and Interaction

The heavy weight champion can hit the massive bag with considerable force. But with the same punch he can only exert a tiny force on the tissue paper in midair. Why is this?

• Newton’s Third Law of

Motion

• Summary of Newton’s

Three Laws

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Forces and Interaction

When you lean against a wall, you exert a force on the wall. The wall simultaneously exerts an equal and opposite force on you. Hence, you don’t topple over.

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• A force is not a thing in itself but makes up an interaction between one thing and another.

• These forces are equal in magnitude and opposite in direction and comprise a single interaction .

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An Example of the Boxer

He can hit the massive bag with considerable force.

But with the same punch he can exert only a tiny force on the tissue paper in midair.

• The boxer’s fist can only exert as much force on the tissue paper as the tissue paper can exert on the fist.

• The fist can’t exert any force at all unless what is being hit exerts the same amount of force back.

• An interaction requires a pair of forces acting on two objects.

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Other Examples of Forces and

Interactions

In the interaction between the hammer and the stake, each exerts the same amount of force on the other.

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The impact forces between the blue and yellow balls move the yellow ball and stop the blue ball.

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Which Exerts the Force and

Which Receives the Force?

 Isaac Newton’s answer:

– Neither force has to be identified as “exerter” or

“receiver”.

– Both objects must be treated equally. (Think about the hammer and stake.)

Newton’s Third Law of Motion

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Newton’s Third Law of Motion

Newton’s third law states:

Whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first.

– In any reaction there is an action and reaction pair of forces that are equal in magnitude and opposite in direction.

– Neither force exists without the other-forces come in pairs, one action and the other reaction.

– The action and reaction pair of forces makes up one interaction between two things.

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More Examples of Newton’s Third Law of Motion

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Action and reaction forces. Note that when action is

“A exerts force on B,” the reaction is then simply

“B exerts force on A.”

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Action and Reaction on Different

Masses

Which falls toward the other, A or B? Do the accelerations of each relate to their relative masses?

• The Earth is pulled up by the boulder with just as much force as the boulder is pulled downward by the Earth.

• Why do you only notice the object is accelerating but you don’t notice the acceleration of the earth? -

Newton’s 2nd law of motion!

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More Examples-Action and

Reaction on Different Masses

Use Newton’s 2nd Law:

The force exerted against the recoiling rifle is just as great as the force that drives the bullet. Why then, does the bullet accelerate more than the rifle?

• We must not only consider the force (net force) applied but also the mass involved.

• The acceleration of the bullet is given by F/m = a

The acceleration of the recoiling rifle is F/ m

= a

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Summaries of Newton’s Three Laws of

Motion

The first law:

– An object at rest tends to remain at rest; an object in motion tends to remain in motion at constant speed along a straight line.

– The tendency of objects to resist change in motion is called inertia .

– Mass is a measure of inertia.

– Objects will undergo changes in motion in the presence of a net force.

The second law:

– When a force acts on an object, the object will accelerate.

– The acceleration is directly proportional to the net force and inversely proportional to the mass , a = F/m.

The third law:

– Whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first.

– Forces come in pairs, one action and the other reaction, both of which comprise the interaction between one object and the other.

– Action and reaction always act on different objects.

– Neither force exists without the other.

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Homework

Chapter 5, Page 88-89, Exercises: #4, 15,

24.

The above problems are assigned from the

10 th edition of the textbook by Hewitt.

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