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PostLab Instructions You are a professional witness in a lawsuit. What do you te

ID: 1267446 • Letter: P

Question

PostLab Instructions

You are a professional witness in a lawsuit. What do you tell the judge? What do you tell the Physicist (Read the following scenario.) You are on an RTD Stretch Bus (the long busses with the accordion in the middle. (This is called an articulating bus.)) The bus is fully loaded with fuel and people. You are traveling at 30 [mph] when a mini-Van in front of the bus pulls in front of the bus as it travels in a similar direction; the van is traveling 20 [mph]. The bus driver slams on the brakes, but there is black ice so the bus gracefully slides right into the van sending the van flying ahead. Three passengers riding the public transit bus, upon realizing their opportunity to make some quick cash, start crying of back and neck pain. Mass of bus + passengers + fuel is about 66,600 [lb] or 30,200 [kg]. Mass of van is about 2,000 [kg]. Please Note: A few students have contacted me and said that I made an error converting from pounds to kilograms. Here are my conversion notes: 66600*4.4492454 /9.8 = 30236.709 #[lb] * 4.4492454[N] / 1 [lb] / 9.8[m/s/s]---> kg 66600*0.454 = 30236.400 #[lb] * 0.454...[kg] / 1 [lb] ---> kg See Wolfram Alpha for more information. 1 pound is about 4.45 Newton. Forensics estimates from the bending of the light-pole that the van was moving at an uninhibited speed of about 35 [mph] when it hit the pole after sliding on ice. You are a professional witness; what is your statement to the judge and why? (Three other bus passengers tell the judge they didn't even feel the collision. They heard it and saw the van fly forward; but they claim they felt nothing.) You are a professional witness; what is your statement to the Physicist and why? Your paper needs to address both the Judge (jury) and the Physicist. Treat each separately. 1) The Judge needs terms that are easy to understand. You need to include some "real world" examples to drive home your answer. The Judge needs to see concepts of momentum exchange and a final answer for change in speed for the bus in mph. 2) The Physicist needs to see calculations for momentum exchange and a final answer for change in velocity for the bus in m/s. Some students will want to address peak force (not required, but interesting.) In order to find peak force we need to know the time of the collision. Do some research to find some values for the time of collisions and calculate max and min force based upon your time range. I called RTD and spoke with a trainer. He told me the Articulator holds 163 passengers, 183 gallons of fuel and weighs in at 66,600[lb] when fully loaded. I (John Martinez) was on a bus when this happened. We were traveling westward on East Colfax just west of Peoria Street. The van flew ahead of us and crashed through a bunch of fence posts. People on the bus did make claims that they were seriously injured. These types of claims are common on RTD busses. PostLab Instructions In a formal, word-processed paper*, answer as a discussion with full thoughts and numerical calculations the discussion question listed above about the RTD bus**. Hand this in on paper (with a proper header including what is below) at beginning of next week's class. Proper Header: Momentum PostLab Name(s) Lab Time: (Day and start time, W8 would be a Wednesday class that starts at 8am) The Header should be in upper left of paper. *The post lab cannot be more than one sheet of paper. You may print two-sided. **Your discussion needs to have two major emphases: Your paper needs to address both the Judge (jury) and the Physicist. Treat each separately. 1) The Judge needs terms that are easy to understand. You need to include some "real world" examples to drive home your answer. The Judge needs to see concepts of momentum exchange and a final answer for change in speed for the bus in mph. 2) The Physicist needs to see calculations for momentum exchange and a final answer for change in velocity for the bus in m/s. Some students will want to address peak force (not required, but interesting.) In order to find peak force we need to know the time of the collision. Do some research to find some values for the time of collisions and calculate max and min force based upon your time range.

  You are a professional witness in a lawsuit. What do you tell  the judge? What do you tell the Physicist (Read the following scenario.)              You are on an RTD Stretch Bus (the long busses with the accordion in  the middle. (This is called an articulating bus.)) The bus is fully  loaded with fuel and people. You are traveling at 30 [mph] when a  mini-Van in front of the bus pulls in front of the bus as it travels in  a similar direction; the van is traveling 20 [mph]. The bus driver slams  on the brakes, but there is black ice so the bus gracefully slides  right into the van sending the van flying ahead.  Three passengers riding the public transit bus,  upon realizing their opportunity to make some quick cash,  start crying of back and neck pain.    Mass of bus + passengers + fuel is about 66,600 [lb] or 30,200 [kg].  Mass of van is about 2,000 [kg].    Please Note: A few students have contacted me and said   that I made an error converting from pounds to kilograms.  Here are my conversion notes:  66600*4.4492454 /9.8 = 30236.709  #[lb] * 4.4492454[N] / 1 [lb] / 9.8[m/s/s]---> kg    66600*0.454 = 30236.400  #[lb] * 0.454...[kg] / 1 [lb] ---> kg     See Wolfram Alpha for more information.  1 pound is about 4.45 Newton.        Forensics estimates from the bending of the light-pole that the van was  moving at an uninhibited speed of about 35 [mph] when it hit the pole  after sliding on ice.    You are a professional witness; what is your statement to the judge  and why? (Three other bus passengers tell the judge they didn't even feel  the collision. They heard it and saw the van fly forward; but they  claim they felt nothing.)    You are a professional witness; what is your statement to the Physicist  and why?    Your paper needs to address both the Judge (jury) and the Physicist.   Treat each separately.     1) The Judge needs terms that are easy to understand.  You need to include some "real world" examples to drive home your answer.  The Judge needs to see concepts of momentum exchange and a final answer for change in  speed for the bus in mph.    2) The Physicist needs to see calculations for momentum exchange   and a final answer for change in velocity for the bus in m/s.    Some students will want to address peak force (not required, but interesting.)  In order to find peak force we need to know the time of the collision.  Do some research to find some values for the time of collisions and   calculate max and min force based upon your time range.    I called RTD and spoke with a trainer.  He told me the Articulator holds 163 passengers, 183 gallons of fuel  and weighs in at 66,600[lb] when fully loaded.      I (John Martinez) was on a bus when this happened. We were traveling westward on East  Colfax just west of Peoria Street. The van flew ahead of us and  crashed through a bunch of fence posts. People on the bus did make  claims that they were seriously injured. These types of claims are common on RTD busses.    

PostLab Instructions

In a formal, word-processed paper*, answer as a discussion with full thoughts and numerical calculations the discussion question listed above about the RTD bus**. Hand this in on paper (with a proper header including what is below) at beginning of next week's class. Proper Header: Momentum PostLab Name(s) Lab Time: (Day and start time, W8 would be a Wednesday class that starts at 8am) The Header should be in upper left of paper. *The post lab cannot be more than one sheet of paper. You may print two-sided. **Your discussion needs to have two major emphases: Your paper needs to address both the Judge (jury) and the Physicist. Treat each separately. 1) The Judge needs terms that are easy to understand. You need to include some "real world" examples to drive home your answer. The Judge needs to see concepts of momentum exchange and a final answer for change in speed for the bus in mph. 2) The Physicist needs to see calculations for momentum exchange and a final answer for change in velocity for the bus in m/s. Some students will want to address peak force (not required, but interesting.) In order to find peak force we need to know the time of the collision. Do some research to find some values for the time of collisions and calculate max and min force based upon your time range.

Explanation / Answer


Mass of the bus m1 = 30,200 kg

Mass of the van m2 = 2,000 kg
Initial speed of the bus u1 = 30 mph

Initial speed of the van u2 = 20 mph

The final speed of the van is v2 = 35 mph

As there is no froction acting while this collision happend, the collision be considered as elastic and according to the
principle of conservation of linear momentum,

m1u1+m2u2 = m1v1+m2v2

Where v1 is the final velocity of the bus after the collision

30,200 kg*30 mph + 2,000 kg*20 mph = 30,200 kg*v1 + 2000 kg*35 mph
v1 = 29 mph
The change in momentum of the bus is
m1u1-m1v1 = m1(u1-v1)
= 30,200 kg*(30 mph - 29 mph)
= 30,200 kg*0.447 m/s
= 13499.4 Ns
As the change in momentum and thus the force(Newton's second law) acting on the bus is very small compared to the
initial momentum of the bus,
the passangers in the bus do not feel any force acting them.
The passengers who are claimed to be injured are actuall do not fell any pain actually.
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