energy math
DESCRIPTION
Energy Math. Speed, McQueen - http://www.youtube.com/watch?v=Zb9KnXNYCiQ. Potential and Kinetic Energy. Potential Energy = Mass x Gravity x Height (PE = mgh) g = 9.8 m/s 2 Kinetic Energy = ½ Mass x Velocity 2 (KE = ½mv 2 ) Energy = joules Weight = newtons Height = meters - PowerPoint PPT PresentationTRANSCRIPT
Energy Math
Speed, McQueen - http://www.youtube.com/watch?v=Zb9KnXNYCiQ
Potential and Kinetic Energy• Potential Energy = Mass x Gravity x Height (PE = mgh)
g = 9.8 m/s2 • Kinetic Energy = ½ Mass x Velocity2 (KE = ½mv2)• Energy = joules• Weight = newtons• Height = meters• Mass = kilograms• Velocity = m/s
Pg. 29
Speed• Speed = distance/time (d/t)• Example– If a bicyclist covers 20 kilometers in 1 hour, her
speed is 20 km/h.–What if she runs 6 meters in 1 second?
• In science, the preferred unit of speed is meters per second (m/s)
Table Tennis - http://espn.go.com/video/clip?id=8180705 Bolt - http://www.livescience.com/22082-olympic-speed-usain-bolt.html
Megatron - http://espn.go.com/video/clip?id=7126233
Pg. 15
Average Speed• Average Speed = Total Distance covered Total travel time
• What is the average speed of a cheetah that sprints 100m in 4 seconds, stops for 10 seconds, and then sprints 200m in 10 seconds?
Average Speed• If you drove a car for 4 hours at 80 km/hr, then
stopped at the loo for 1 hour, what is your average speed?
16
Velocity• Velocity = distance/time (d/t) in a
specific direction• For example, if a vehicle travels at
60km/h, do we know the velocity?• How about if we say it moves at
60km/h to the north – do we know the velocity?
Determine if the following statements are speed or velocity…• A cruise ship traveling at 60 knots south. – Velocity
• A cyclist going 10 mph. – Speed
• A downhill skier going 40 mph. – Speed
• A person walking 4 mph on a treadmill. – Speed
• A jet traveling 600 mph taking-off headed northeast. – Velocity
Acceleration
• a = vf – vi
ta = accelerationvf = final velocityvi = initial velocityt = time
Pg. 17
• Acceleration is ANY change in motion.– When you are in a car and you step on the
“accelerator” the car accelerates.– When the brakes are applied, the car
accelerates.(called deceleration or negative acceleration)
Example
• A car steadily increases speed. Suppose that in 1 second, the velocity increases from 30 km/h to 35 km/h. In the next second, you go from 35 km/h to 40 km/h, and so on.
• The velocity changes by 5 kilometers per hour each second.
change of velocity 5km/hAcceleration = change in time = 1 s = 5km/h.s
Example 1
• A skater goes from a standstill to a speed of 6.7 m/s in 12 seconds. What is the acceleration of the skater?
change of velocity 6.7m/s - 0Acceleration = time = 12 s
a = 0.56 m/s2
Example 2
• During a race, a sprinter increases from 5.0 m/s to 7.5 m/s over a period of 1.25s. What is the sprinter’s average acceleration during this period?
change of velocity 7.5 m/s – 5.0 m/sAcceleration = time = 1.25 s
a = 2.0 m/s2
Gravity and Acceleration
• Acceleration of a free falling object is 9.8 m/s2
• For every second an object free falls, the velocity will increase by 9.8 m/s2
• Example: An object is dropped for 3 seconds9.8m/s2 = vf – 0 3 sec vf = 29.4 m/sec
Force• Force = Mass x Acceleration• F=ma• Force is measured in Newtons (N)• You push a friend sitting on a swing. She has a
mass of 50 kg and accelerates at a rate of 4 m/s2. Find the force you exerted.
F = 50kg x 4 m/s2 =F = 200 N
Force Videos• FSN Force - http://www.youtube.com/watch?v=A_wnt84iyMk
• NFL Impact - http://www.wired.com/wiredscience/2010/11/espn-sport-science-on-collisions-video-break-down
Work• Work = Force x Distance• W= F x d• Work is measured in Joules (J)Is the person doing work?
___ When pushing a 1000 N car 20 meters? ___ When lifting a rock off the ground? ___ When holding a book in their hands? ___ When pushing hard against a brick wall? ___ When walking up the stairs?
Work 2• More, Less, or the Same amount of Work? • ___ You use more force to move an object. • ___ You lift a 20 N object faster. • ___ You raise an object a shorter height. • ___ You move a lighter object. • ___ You move an object farther.
Work Example
• When a weightlifter lifts a barbell, he does work on the barbell
• When he is holding the barbell over his head, he does no work
Power
• Which are you more tired…• Walking a box up a flight of stairs or
running a box up a flight of stairs?• You are doing the same amount of
work, so why are you more tired?• POWER• Power is the measure of how fast work
is done
Power• Power = Work/Time• P = W/t• Power is measured in Watts (Joule per second)• One Watt (W) of power is used when one joule
of work is done in one second• Power is also the rate at which energy is
changed from one form to another
Power
• More or Less Power? • ___ An engine can lift an object faster. • ___ Someone takes more time to push a car. • ___ You take the same amount of time to do
more work. • ___ Same distance; same time; more force.