Query 5

course Phy 201

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005. `query 5

Physics I

05-28-2007

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08:12:59

Intro Prob 6 Intro Prob 6 How do you find final velocity and displacement given initial velocity, acceleration and time interval?

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RESPONSE -->

You can use the formula vf=vo+a*'dt

confidence assessment: 3

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08:13:13

** To find final velocity from the given quantities initial velocity, acceleration and `dt:

Multiply `dt by accel to get `dv.

Then add change in velocity `dv to init vel , and you have the final velocity**

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RESPONSE -->

I understand.

self critique assessment: 3

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08:23:03

Describe the flow diagram we obtain for the situation in which we know v0, vf and `dt.

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RESPONSE -->

Knowing these three allows us to solve for 'ds using the formula (vf+vo)/2*'dt

Knowing 'ds then allows us to sovle for a, since all of the variables in the equation 'ds=vo*'dt+.5a'dt^2 would be filled except a.

confidence assessment: 1

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08:24:00

** The flow diagram shows us the flow of information, what we get from what, usually by combining two quantites at a time. How we get each quantity may also be included.

From vf and v0 we get `dv, shown by lines from vf and v0 at the top level to `dv. From vf and v0 we also get and vAve, shown by similar lines running from v0 and vf to vAve.

Then from vAve and `dt we get `ds, with the accompanying lines indicating from vAve and `dt to `ds, while from `dv and `dt we get acceleration, indicated similarly. **

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RESPONSE -->

I didn't think about average velocity, but of course after averaging initial and final velocities, the average velocity can be calculated. As for the other things I understand how the flow chart works for them.

self critique assessment: 2

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08:32:37

Principles of Physics and General College Physics Students: Prob. 1.26: Estimate how long it would take a runner at 10 km / hr to run from New York to California. Explain your solution thoroughly.

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RESPONSE -->

I used map quest and found out that the general distance is about 2800 miles from one state to the other. Since the distance was given in miles, I have to change miles to Km. 2800 miles=4,506 km

So, now we know distance and vAve, from which we can calculate time.

10km/hr=4506km/'dt

10*'dt=4506

'dt=4506/10

'dt=450.6 hours

confidence assessment: 2

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08:32:59

It is about 3000 miles from coast to coast. A km is about .62 mile, so 3000 miles * 1 km / (.62 miles) = 5000 km, approximately.

At 10 km / hr, the time required would be 5000 km / (10 km / hr) = 500 km / (km/hr) = 500 km * (hr / km) = 500 (km / km) * hr = 500 hr.

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RESPONSE -->

I understand.

self critique assessment: 3

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08:41:32

All Students: Estimate the number heartbeats in a lifetime. What assumptions did you make to estimate the number of heartbeats in a human lifetime, and how did you obtain your final result?

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RESPONSE -->

The average heart beats about 70 beats per minute. That means a heart beats 70*60=4200 times per hour.

4200*24=100,800 times a day

100800*365=36792000 times a year

Then, let's say the average person lives to be 75

36792000*75=2759400000 times in a lifetime

confidence assessment: 3

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08:41:53

** Typical assumptions: At 70 heartbeats per minute, with a lifetime of 80 years, we have 70 beats / minute * 60 minutes/hour * 24 hours / day * 365 days / year * 80 years = 3 billion, approximately. **

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RESPONSE -->

I understand. My assumptions were slightly different.

self critique assessment: 3

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08:42:06

University Physics Students Only: Problem 1.52 (i.e., Chapter 1, Problem 52): Angle between -2i+6j and 2i - 3j. What angle did you obtain between the two vectors?

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RESPONSE -->

I am not in University Physics.

confidence assessment:

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08:42:10

** For the given vectors we have

dot product =-2 * 2 + 6 * (-3) = -22

magnitude of first vector = sqrt( (-2)^2 + 6^2) = sqrt(40)

magnitude of second vector = sqrt( 2^2 + (-3)^2 ) = sqrt(13)

Since dot product = magnitude of 1 st vector * magnitude of 2d vector * cos(theta) we have

cos(theta) = dot product / (magnitude of 1 st vector * magnitude of 2d vector) so that

theta = arccos [ dot product / (magnitude of 1 st vector * magnitude of 2d vector) ]

= arccos[ -22 / ( sqrt(40) * sqrt(13) ) ] = arccos ( -.965) = 164 degrees, approx.. **

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RESPONSE -->

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self critique assessment:

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08:42:29

Add comments on any surprises or insights you experienced as a result of this assignment.

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RESPONSE -->

The practice with the use of the formulas was helpful.

self critique assessment: 3

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08:42:38

** I had to get a little help from a friend on vectors, but now I think I understand them. They are not as difficult to deal with as I thought. **

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RESPONSE -->

self critique assessment: 3

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Very good. Let me know if you have questions.