Physics for You p.147
a) Momentum = mv
Momentum = (2+6) x 8
Momentum = 64 kgm/s
b) See exercise book
c) KE is not conserved it is converted and wasted as other forms of energy.
1.22
Tuesday, July 06, 2010
3:04 PM
· 1.22 use the conservation of momentum to calculate the mass, velocity or momentum of objects
Momentum conserved in collisions
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Momentum conserved in explosions
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| <<N3L - Every action has a Gun fire.mpeg>> | ||
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Example - Pearson, p.41
Consider final momentum
Truck, plasticine and pellet
p = m x v
p = (0.1+0.002) x 0.8
p = 0.0816kgm/s
total final momentum = pf = 0.0816kgm/s
Principle of Conservation of Momentum tells us:
total initial momentum = total final momentum
Σpi = Σpf
so total initial momentum = pi = 0.0816kgm/s
Consider initial momentum
Truck and plasticine
p = m x v
p = 0.1 x 0
p = 0kgm/s
Pellet
p = m x v
0.0816 = 0.002 x v
v = 40.8m/s
1.22 animation
14 March 2012
15:49
Website:
http://www.walter-fendt.de/ph14e/collision.htm
Embed code for your blog:
Example:
http://maddog11physics.posterous.com/conservation-of-momentum-animation#
Starter - Spot the mistakes!
13 March 2012
16:35
· http://sites.google.com/site/winfailphysics/all-videos/roadrunner-human-cannonball
· http://sites.google.com/site/winfailphysics/all-videos/roadrunner-spring-punch
· You know that these situations are wrong, but why are they wrong?!
Guided discovery - Investigating Momentum
14 March 2012
07:20
When we collide two gliders on the
air track, what happens?
Situation 1: Elastic collision with a stationary glider
Initial
Initial speed of LH glider = ul = 1m/s
Initial speed of RH glider = ur = 0m/s
Final
Final speed of LH glider = vl = 0m/s
Final speed of RH glider = vr = 1m/s
We can represent this graphically as
Initial
Final
Conclusion
· It appears that the speed is "transferred" to the RH glider
Situation 2: Inelastic collision with a stationary glider
Initial
Initial speed of LH glider = ul = 1m/s
Initial speed of RH glider = ur = 0m/s
Final
Final speed of LH glider = vl = 0.5m/s
Final speed of RH glider = vr = 0.5m/s
We can represent this graphically as
Initial
Final
Conclusion
· Speed is conserved in the collision
· Total Initial speed = Total Final speed
Situation 3: Head on collision
Initial
Initial speed of LH glider = ul = 1m/s
Initial speed of RH glider = ur = -1m/s
Final
Final speed of LH glider = vl = 0m/s
Final speed of RH glider = vr = 0m/s
We can represent this graphically as
Initial
Final
Conclusion
· Velocity is conserved in the collision
· Total Initial velocity = Total Final velocity
Situation 4: Head on collision with different masses
Initial
Initial speed of LH glider = ul = 1m/s
Initial speed of RH glider = ur = -1m/s
Final
Final speed of LH glider = vl = 0m/s
Final speed of RH glider = vr = 0m/s
Problem!
Our previous conclusion that
o Velocity is conserved in the collision
doesn't hold for this situation!
Why do they move off to the left?
Because the RH glider has twice the mass
What could I change about the LH glider to make both gliders stop after the collision?
o Double the mass (obvious)
o Double the initial velocity
We can represent this graphically as
Initial
Final
So something is conserved in the collision, but what is it?
What does the area of the rectangles represent?!
Time to label our axes!
Final Conclusion
· The area of the rectangles are mass x velocity
· Momentum = mass x velocity
· So momentum is conserved in collisions
1.20
Tuesday, July 06, 2010
3:04 PM
· 1.20 recall and use the relationship between momentum, mass and velocity:
momentum = mass × velocity
p = m × v
p = m × v
p = momentum (kgm/s)
m = mass (kg)
v = velocity (m/s)