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Lecture 4 Force and Motion Gravitation. Chapter 2.7  2.15. Outline. Laws of Motion Mass and Weight Gravitation. The law of gravity – 1666, 3 laws of motion – 1686 . If no net force acts on it, then. First Law of Motion. A force is needed to start motion or change its velocity

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lecture 4 force and motion gravitation
Lecture 4Force and MotionGravitation

Chapter 2.7  2.15

Outline

  • Laws of Motion
  • Mass and Weight
  • Gravitation

The law of gravity – 1666, 3 laws of motion – 1686

first law of motion
If no net force acts on it, thenFirst Law of Motion

A force is needed to start motion or change its velocity

A force is any influence that can change the speed or direction of motion of an object

an object remains at rest

an object in motion remains in motion

An object continues to be accelerated as long as a net force acts upon it

slide3
Mass

The reluctance of an object to change its state of rest or of uniform motion in a straight line is inertia

Mass is a property of matter that shows itself as inertia

The SI unit of mass is kilogram (kg)

1 liter (0.26 gallon) has a mass of 1 kg

1 liter = 10cm x 10cm x 10cm

More about mass and inertia

second law of motion
Second Law of Motion

The more mass an object has, the less its acceleration for a given force.

F = net force

m = mass

a = acceleration

F

a = ---

m

F=ma

The net force on an object equals to the product of the mass and the acceleration of the object.

The direction of the force is the same as that of the acceleration.

the newton
The Newton

The second law of motion defines the unit of force.

F=ma, [m]=kg, [a]=m/s2 [F]=kg m/s2 = newton (N)

1 lb = 0.453 kg x 9.8 m/s2 = 4.45 N  1 N = 0.225 lb

mass and weight
Mass and Weight

The weight of an object is the force it is attracted by the earth’s gravitational pull.

Mass is a measure of the amount of matter included in an object.

F=ma

w=mg

third law of motion
Third Law of Motion

When an object exerts a force on a second object, the second object exerts an equal force in the opposite direction on the first object.

Action force is equal to reaction force

gravitation
Gravitation

Centripetal force is an inward force on an object moving in a curved path

mv2

Fc = ---- r is the radius of a circle

r

The centripetal force always points toward the center of curvature of the object’s path.

mass of the earth
Mass of the Earth

The Earth’s mass can be found from the law of gravity.

Weight of an object F = mg

G m M

F = ----------

R2

Gravitational force on an object

G = 6.67 10-11 N m2/kg2

gR2

M = ------ = 6 1024 kg

G

R = 6378 km = 6.38 106 m

g = 9.8 m/s2

orbiting the earth
Orbiting the Earth

In order to launch a satellite, the gravitational force has to be overcome.

Centripetal force = gravitational force

mv2

------ = mg  v2 = rg  v = rg

r

Minimal orbital speed

Escape speed (ve): the speed required to leave the gravitational influence of a body.

For the Earth: v = 28,400 km/h, ve=40,000 km/h

summary
The three Newton’s laws of motion and the law of gravity represent the foundation of the classic or Newtonian mechanics.Summary
  • They hold everywhere in the Universe, when an object’s speed is much less than the speed of light.
  • Mass is a measure of an object’s inertia, while weight is the gravitational force on an object.