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course phy121

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005. `query 5

Physics I

10-02-2008

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13:03:43

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 -->

vF = v0 + (a * `dt)

`ds = v0 * `dt + .5a * `dt^2

confidence assessment: 3

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13:03:53

** 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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self critique assessment: 3

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13:07:13

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

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v0 and vF can give us vAve

vAve and `dt give you `ds

confidence assessment: 3

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13:07:23

** 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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self critique assessment: 3

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13:12:34

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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First I looked up the distance online since its not stated anywhere. 3.961km.

3961km / 10km/h = 396.1h

Divide distance by velocity to get `dt.

confidence assessment: 3

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13:13:10

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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That would have been Atlantic to Pacific Oceans, not state to state.

self critique assessment: 3

Eastern NY to western CA would probably roundoff to 2000 miles; NYC to LA would probably roundoff to 3000 miles.

I'm making a short visit to Vegas in two weeks to attend a family member's wedding. I remember looking up some distances and it's a bit over to 2500 miles from some NY town to Vegas.

However any reasonable estimate would be fine here. Exact numbers are necessary, only documentation of the assumption used for the distance is necessary.

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13:19:41

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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Number of days/year * hours/day = hours/year

365 * 24 = 8760

hours/year * min/hour = min/year

8760 * 60 = 525600

min/year * beats/min = beats/year

525600 * 66 = 34689600

beats/year * average life span = beats per life

34689600 * 70 = 2.428 x 10^9 beats/life

confidence assessment: 3

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13:19:52

** 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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self critique assessment: 3

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13:19:56

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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confidence assessment:

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13:19:59

** 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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self critique assessment:

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13:20:04

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

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self critique assessment:

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13:20:10

** 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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self critique assessment:

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&#Good work. See my notes and let me know if you have questions. &#