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akhl

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akhl

Joined: 30 March 2007

Posts: 5233

Posted: 09 February 2009 at 10:50pm | IP Logged
2. Find the density of a cup of coffee that has a mass of (175.14 +/-  0.05)g and a volume of (180 +/- 5)mL.
 
Let p = density,
M = mass,
V = volume,
deltap = uncertainty in density,
deltaM = uncertainty in mass,
deltaV = uncertainty in volume
 
Without uncertainty:-
M = 175.14 g
deltaM = 0.05 g
V = 180 mL
deltaV = 5 mL
 p = M/V = 175.14/180 = 0.973 g/mL
deltap/p = deltaM/M + deltaV/V
deltap/0.973 = 0.05/175.14 + 5/180
deltap = (0.05/175.14 + 5/180) * 0.973
deltap = 0.0027 g/mL
Density = 0.973 +/- 0.027 g/mL
 


Edited by akhl - 10 February 2009 at 3:15am

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akhl

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akhl

Joined: 30 March 2007

Posts: 5233

Posted: 09 February 2009 at 10:57pm | IP Logged
3. What is the average speed of a sprinter when he runs (100.000 +/- 0.002)m in time of (9.12 +/- 0.01)s ? 
Let X = distance,
t = time,
v = average speed,
deltaX = uncertainty in distance,
deltat = uncertainty in time,
deltav = uncertainty in average speed
 
Without uncertainty:-
X = 100.000 m
t = 9.12 s
v = X/t = 100.000/9.12 = 10.96 m/s
 
Uncertainties:-
deltaX = 0.002 m
deltat = 0.01 s
deltav/v = deltaX/X + deltat/t
deltav/10.96 = 0.002/100.000 + 0.01/9.12
deltav/10.96 = 0.00112
deltav = 10.96 * 0.00112
deltav = 0.01 m/s
Average speed = 10.96 +/- 0.01 m/s


Edited by akhl - 09 February 2009 at 11:51pm

-Grace-

IF-Rockerz

-Grace-

Joined: 06 June 2008

Posts: 8309

Posted: 20 March 2009 at 4:05pm | IP Logged
i need to know:
how to find
Gravitational force, net force and nausea force of a roller coaster
[in short we are suppose to derive with three diff equations]
 
p.s. its a model of a roller coaster.

akhl

IF-Rockerz

akhl

Joined: 30 March 2007

Posts: 5233

Posted: 22 March 2009 at 6:02am | IP Logged
Originally posted by blushpink13

i need to know:
how to find
Gravitational force, net force and nausea force of a roller coaster
[in short we are suppose to derive with three diff equations]
 
p.s. its a model of a roller coaster.


Nausea force? Do you mean normal force?
You can find expressions for all these using free body diagrams. The gravitational force, as usual, is mass * g, where g is acceleration due to gravity.
The component of total force towards the center = m*v^2/r,
where m = mass, v = speed, r = radius of path

If you make the question more specific, then I can give specific answers. What is the shape of the roller coaster? Is it vertical? What all information are given?

-Grace-

IF-Rockerz

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Joined: 06 June 2008

Posts: 8309

Posted: 24 March 2009 at 5:03pm | IP Logged
@akhl:thank you so much.its actualy my frnd's project...so yea...thanks for helping this is enuf=]

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