Chapter 6 Section 1
Explain the effect of gravity and air resistance on falling objects
Explain
why objects in orbit are in free fall and appear to be weightless
Describe
how projectile motion is affected by gravity
The
rate at which objects fall…
Galileo
questioned Aristotle’s idea about falling objects…
Mass
does NOT affect the time the object takes to fall to the ground
He
changed people’s understanding about gravity and falling objects
Objects fall at the same rate because:
Acceleration
all objects!
due to gravity is the same for
Heavier
objects experience greater gravitational force
Heavier
objects are also harder to accelerate
Acceleration
= the rate at which velocity changes over time
All
objects accelerate to the Earth at a rate of 9.8 m/s²
For
every second an object falls, its downward velocity increases by 9.8m/s²
You
can calculate the change in velocity (∆V) of a falling object using: ∆V = g • t
g t
= 9.8m/s² = time it takes to fall (seconds)
Math
focus pg. 151 in text:
• Calculating the Velocity of Falling Objects • Sample problem… Now
it’s your turn… #1-4
Air
resistance = the force that opposes the motion of objects through air
Depends
on the size, shape, and speed of the object
As the speed of a falling object increases, air resistance increases
The
upward force of air resistance continues to increase until it is = the downward force of gravity
Net
force = 0; and the object stops accelerating
The
object then falls at a constant velocity: Terminal Velocity
http://www.iop.org/activity/education/Projects/Teaching %20Advanced%20Physics/Mechanics/Images %20200/img_mid_4140.gif
An
object is in free fall only if gravity is pulling it down and no other forces are acting on it
Can
only occur when there is no air! (space & a vacuum)
Astronauts
float in orbiting spacecrafts because of free fall
Orbiting
= when an object is traveling around another object
When
a spacecraft orbits Earth, it is moving forward, but the spacecraft is also in free fall toward Earth
Space
shuttle is always falling while it is in orbit (Figure 7, pg. 154)
Astronauts
don’t hit their heads because they are also falling
They
float! (free fall with the spacecraft)
Circular
paths of orbits
Constantly
changing direction
The
unbalanced force acting on the object causing it to move in a circular path is called: centripetal force
Gravity
provides this force
http://www.mansfieldct.org/schools/mms/staff/hand/lawsCentripetalForce_files/image002 .jpg
Projectile motion: The curved path an object follows when it is thrown or propelled near the Earth’s surface
2
Components:
• Horizontal motion • Vertical motion
When the 2 motions are combined a curved path is formed
A
frog leaping Water sprayed by a sprinkler A swimmer diving into water Balls being juggled An arrow shot by an archer…
http://www.cartoonstock.com/lowres/cal0008l.jpg
http://blog.dotphys.net/wp-content/uploads/2008/09/graph.jpg
After the object is propelled, the object’s horizontal velocity is constant
The
object’s vertical velocity increases because gravity causes it to accelerate downward
The
two motions combine to form a curved path
Perpendicular
to the ground
At
an acceleration rate of 9.8m/s² (ignoring air resistance)
Acceleration
on a thrown object and a falling object are the same
Aim
above a target!
Why
do you have to aim above a target that you want to hit with a thrown object?
When
does an object reach its terminal velocity?