"Just-in-Time Teaching (JITT) with the World Wide Web"
Student Responses to Rocket Questions:
10/6/96,1835
sName,CM
sSection,110z M3
honor,on
Q1,M= total mass
delta m = fuel change
v= velocity of rocket
delta t = the short time that the rocket fires
vex = the velocity if the exhaust
This wouldn' tbe hard to figure out for a model rocket but for a huge intercontinental,
you would have to keep track of it when it reentered the atmosphere, too.
Q2,I am not sure what to do without the original velocity and because of that what
the change in velocity is. I am looking over page 243.
Q3,a
1D,SUBMIT HOMEWORK
10/6/96,2132
sName,MH
sSection,M1
honor,on
Q1,You would have to know the time of burning, the exhaust velocity, and the
thrust. This would be a very hard calculation for a model rocket due to its small mass,
small exhaust velocity, and and the thrust velocity would be hard to calculate. A huge
intercontinental missile would be much easier due to its extreme amounts of mass, thrust,
and velocity.
Q2,M dV/dT= -Vex dM/dT
2,000,000 16m/s = -4000m/s (x/1s)
8000kg or 17,636lbs
Q3,a
1D,SUBMIT HOMEWORK
10/7/96,1229
sName,TA
sSection,M1
honor,on
Q1,There would be a change in the velocity due to the smaller gravitational pull. In a
vacuum it would be even greater. It would work since the thrust pushes against the
shuttle and not the air.
Q2,The red ball is heavier since it kept closer to its original trajectory.
Q3,d
1D,SUBMIT HOMEWORK
10/7/96,1238
sName,TA
sSection,M1
honor,on
Q1,You would need to know the rate of fuel consumption, and the change in velocity
with time. The change in mass in velocity would be different numbers, but not larger
calculations.
Q2,about 4,000 kg of fuel is burnt
4000m/s = 2e6 kg * 8 M/s%5E2
Q3,a
1D,SUBMIT HOMEWORK
10/7/96,1426
sName,MF
sSection,M3A
honor,on
Q1,You would need to know either the change in mass, exhaust velocity, and thrust,
or the mass of the rocket, change in velocity, and thrust. An example is a model rocket
with Thrust of 100 N, a mass of .5 kg, and a change in velocity of 40 m/s, burns fuel in .2
s.
Q2,Using the equation (dm/dt)*Ve= m*dv/dt, to find the change in mass we change
the equatin so that it is dm=mdv/Ve. We then find dm to be 4000 kg.
Q3,a
1D,SUBMIT HOMEWORK
10/7/96,1611
sName,TB
sSection,M3A
honor,on
Q1,You would of course need to know masses,
and velocities. Also size may be of
importance because of drag. A large
rocket is affected more by drag then
a smaller rocket but the small one
may be affected more by wind then the
large one.
Q2,ma = Fext - Ve(dm/dt)
4000kg of fuel in the first second.
Q3,a
1D,SUBMIT HOMEWORK
10/7/96,2310
sName,RH/DM
sSection,M3A
Q1,We need to know the mass and the
final velocity. The model rocket would
not be a simple calculation it would be
the same as the huge missile and shuttle.
Q2,It burns 2000 kg of fuel per second.
Q3,a
1D,SUBMIT HOMEWORK
10/7/96,2341
sName,JD
sSection,M3A
Q1,need to know thrust change in exhaust velocity or mass and change in velocity.
Q2,dv/dt=a
dm/dt*ve=ma
dm=(2millkg*8*1)%5C4000m/s
4000kg
Q3,a
1D,SUBMIT HOMEWORK
10/7/96,2352
sName,DB
sSection,M1A
honor,on
Q1,We wouldn't hear it take off. The shuttle would accelerate faster because the
acceleratoin due to gravity would be less on the moon, and in a vacuum it would not
experience air resistance. The launch would still work in a vacuum because teh
propulsioin of a rocket stems from the expansion of molecules pushing against teh nozzel,
rather than molecules pushing against other particles.
Q2,The red ball has a greater mass because it's trajectory is chnged less after impact,
whereas teh blue ball is projected at a sharp angle to the initial propulsion of the red ball.
Q3,b
1D,SUBMIT HOMEWORK
10/8/96,0022
sName,BL
sSection,M3A
honor,on
Q1,you would have to know how quickly the rocket
burns its fuel and how much fuel it carries.
This would definitely be an easier calculation
for the model rocket.
Q2,It uses approximately 4000 kg of fuel.
Q3,c
1D,SUBMIT HOMEWORK
10/8/96,0057
sName,JM
sSection,M3
honor,on
Q1,You would have to know the time interval, the final and initial velocities over that
interval and the change in mass of the rocket. An intercontinental missle would be the
same data, but the mass would be much greater.
Q2,I tried using the formula in the book from page 244, ex 10-9, but ended up with it
only using 8.88 kg of fuel in 1 sec, which i know is way too little for that powerful of a
rocket. I think i may have the wrong formula.
Q3,a
1D,SUBMIT HOMEWORK
10/8/96,0908
sName,?M
sSection,M1
honor,on
Q1,I would have to know the mass of the rocket and the acceleration of the rocket; I
THINK that both calculations would be about as 'simple'
Q2,4000--seems too large
Q3,a
1D,SUBMIT HOMEWORK
10/8/96,0908
sName,LB
sSection,m1
honor,on
Q1,you would need to know Ve,the force exerted, and the time of burn
Q2,8900kg of fuel
Q3,c
1D,SUBMIT HOMEWORK
10/8/96,0914
sName,MK
sSection,m1a
honor,on
Q1,You would have to know the rockets thrust, velocity and weight. The calculation
would be the same for both of the rockets, just different values.
Q2,It would burn 1000kg a second.
Q3,a
1D,SUBMIT HOMEWORK
10/9/96,1438
sName,BH
sSection,
Q1,You would have to know the mass, exhaust velocity, and the acceleration. You
would also need to know what time interval you want to use. They would both be hard
calculations if you were supposed to figure out the exhaust velocity of each type of rocket.
Q2,About 4000 kg per second.
Q3,a
1D,SUBMIT HOMEWORK
10/9/96,1648
sName,RG
sSection,M1A
honor,on
Q1,Exhaust velocity and mass. Yes it would be a simple calculation ignoring drag.
With a huge intercontinetal missle you can ignore drag intialy (Much like the shuttle).
Q2,
Q3,a
1D,SUBMIT HOMEWORK
10/9/96,1854
sName,CL
sSection,M1A
honor,on
Q1,You would have to know the original mass, the exhaust velocity and the
acceleration. The acceleration of a huge missile would be slower than that of a small
model rocket, making the model rocket's acceleration calculation much more difficult.
Q2,using the conservation of momentum equation, the rocket burns about 400 kg per
second.
Q3,c
1D,SUBMIT HOMEWORK
10/9/96,2037
sName,?C
sSection,
honor,on
Q1,MASSi and MASSf
Ve
Vi Vf
yes
even easier, as it is with the space shuttle
Q2,About 1/10 of its supply, a little less
Q3,a
1D,SUBMIT HOMEWORK
10/9/96,2050
sName,?M
sSection,T1
honor,on
Q1,You need to know the exhaust velocity, mass (including feul), the acceleration,
and the time incriment. then solve for dm (change in mass, which is the mass of the fuel
that burned.) It would be easier to calculate for a large missle because the fuel doens't
burn off as quickly, comparitvley speaking.
Q2,ma = (dm/dt) Ve
(2.0x10%5E6)(8) = (dm/1) (4000)
dm = 4000 kg
Q3,a
1D,SUBMIT HOMEWORK
10/9/96,2134
sName,OE
sSection,
honor,on
Q1,You would need to know the mass of the rocket at each interval of time you
wanted to calculate because for a model rocket the mass changes very rapidly. Therefore
the calculation would be relatively difficult. For a large intercontinental missle the change
in mass would not be a dramatic therefor the calculation would be considerably simpler.
Q2,I need help with this one. I'm sure it's obvious, but I can't see it right now.
Q3,a
1D,SUBMIT HOMEWORK
10/9/96,2251
sName,ND
sSection,M-3/4 A
honor,on
Q1,The velocity of the exhaust, the mass of the
rocket, the change of time, and the acceleration
of the rocket. It would be hard because
the acceleration of the rocket is hard
to calculate. THe intercontinental rocket
would be much easier.
Q2,dm/dt ve=m dv/dt
dm/1 4000=(2000000)8
dm =4000
Q3,a
1D,SUBMIT HOMEWORK
10/9/96,2306
sName,JK
sSection,M1A
honor,on
Q1,you would have to know the exhaust velocity, the mass of the rocket and
the speed of the rocket
it would be a simple calculation for a model rocket and for a huge intercontinental
missile
Q2,shuttles velocity = 8 m/s
exhaust velocity = 4000 m/s
shuttles mass = 2.0 x 10%5E6 kg
8 m/s divided by 4000 m/s = .002 m/s
ln(Mi/Mf) = .002
2.0 x 10%5E6 / Mf = e%5E.002
Mf = 1.996 x 10%5E6 kg in fuel burned during the first second
Q3,a
1D,SUBMIT HOMEWORK
10/9/96,2342
sName,CM
sSection,M 1/2 A
honor,on
Q1,You would have to know the change in mass (easy), the velocity (harder), and the
velocity of exhaust from the rocket (hard). To find the amount of fuel burned it would be
easiest to weigh the rocket before and after the launch, to get the mass of fuel lost. You
could do the same for the missile.
Q2,about 39,240 kg.
maam, doesn't this next problem depend on whether or not the boosters are still
providing thrust when they seperate, and how much???
Q3,d
1D,SUBMIT HOMEWORK
10/10/96,0023
sName,SC
sSection,M3
honor,on
Q1,You would need to know the rockets initial mass and the exhaust velocity. No, it
would probably be hard to determine the exhaust velocity. The exhaust velocity should
already be known for the missle which would make the calculations easier.
Q2,3995.58 kg
Q3,c
1D,SUBMIT HOMEWORK
10/10/96,0035
sName,RH
sSection,M1A
honor,on
Q1,You would have to know the change of the speed of the rocket, the velosity of
the exaust, mass of the rocket. For a model rocket, it would accelerate at 4m/s%5E2,
with the exaust moving at 2m/s, and have a mass of 1.5 kg. That will give a chang in mass
of 1 kg/s. For a big missle, it will accelerate at 4 m/s%5E2, with exaust moving at 500
m/s, and have a weight of 700,000kg. This would make it loose 5600 kg/s.
Q2,4000
Q3,b
1D,SUBMIT HOMEWORK
10/10/96,0048
sName,CA
sSection,m3a
honor,on
Q1,to find the change in time you would need to know the change in mass, the
exhaust velocity, and the time. this would be relatively easy to find using a model rock
because you can see all of its motions. for the same reason it would be much harder to
make this calculation for an icbm.
Q2,50,000 kg
Q3,b
1D,SUBMIT HOMEWORK
10/10/96,0057
sName,JB
sSection,M1/2
honor,on
Q1,I would have to know the mass of the rocket and the time . For the model rocket
this would be a simple calculation because it is relatively small and does not have that
great a mass change, also its flight is not very long. For the ICBM would this equation
would be difficult to use becaue there is such a large change.
Q2,I know I would have to solve for change in mass, but I'm not really sure how to.
Q3,d
1D,SUBMIT HOMEWORK
10/10/96,0104
sName,DB
sSection,M1A
honor,on
Q1,We would have to know the rocket's exhaust velocity and starting mass, and be
able to calculate the changes in velocity and mass with respect to time. This would not be
easy to calculate for our model because the mass changes so rapidly we'd have to be
extremely precise. The ICBM would be more forgiving (get a fairly close answer to the
actual) if our changes in mass and velocity over a certain time were a little off (not
precise).
Q2,4000 kg
I found this by plugging into the equation M Dv/Dt = -Vex DM/Dt
Q3,a
1D,SUBMIT HOMEWORK
10/10/96,0111
sName,BF
sSection,M3A
Q1,You would have to know the initial mass of the total rocket, as well as the mass
of the fuel. The calculations would be the same for the model and the missle.
Q2,500kg
Q3,b
1D,SUBMIT HOMEWORK
10/10/96,0150
sName,RK
sSection,M3A
honor,on
Q1,You would need to know the velocity, the time of flight, the initial mass and the
final mass. You would need to know how much fuel the rocket can hold. This calculation
if fairly simple for a model rocket, and a huge intercontinental missle should follow the
same basic guidelines, however there will be more complex external and internal factors
involving it.
Q2,Using the equation M*(delta v/delta t)= -vex * (delta M/delta t), you can find the
change in mass. Approximately 4000 kg of fuel are burned in the first second.
Q3,a
1D,SUBMIT HOMEWORK