Asst_20_query

course PHY201

Hello Professor, I submitted a lab from assignment 13 several days ago that has not appeared in my work portfolio yet. Several assignments submitted later (including a second lab from assignment 13) have appeared. Did you receive the 'Uniformity of Acceleration for a Ball on a Ramp' lab that I submitted several days ago? Thanks and Regards, Chris

Your note prompted me to check and I discovered several submissions that weren't posted for a handful of students. That lab should now be posted, just preceding this posting.

020. `query 20

Physics I

04-10-2008

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23:48:32

Explain how we get the components of the resultant of two vectors from the components of the original vectors.

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RESPONSE -->

By using the following equations:

x = L * cos(theta)

y = L * sin(theta)

confidence assessment: 2

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23:50:19

** If we add the x components of the original two vectors we get the x component of the resultant.

If we add the y components of the original two vectors we get the y component of the resultant. **

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RESPONSE -->

I had a hard time understanding the wording of the original question. I understand the premise of adding the x and y components however.

self critique assessment: 2

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23:51:59

Explain how we get the components of a vector from its angle and magnitude.

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RESPONSE -->

By using the following equations:

x = L * cos(theta)

y = L * sin(theta)

confidence assessment: 2

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23:52:13

** To get the y component we multiply the magnitude by the sine of the angle of the vector (as measured counterclockwise from the positive x axis).

To get the x component we multiply the magnitude by the cosine of the angle of the vector (as measured counterclockwise from the positive x axis). **

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RESPONSE -->

self critique assessment: 3

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23:54:42

prin phy, gen phy 7.02. Const frict force of 25 N on a 65 kg skiier for 20 sec; what is change in vel?

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RESPONSE -->

a = F/m

a = -25 N/65 kg = -.385 m/s^2

`dv = a*`dt = -.385 m/s^2 * 20 s = -7.7 m/s

confidence assessment: 2

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23:56:32

If the direction of the velocity is taken to be positive, then the directio of the frictional force is negative. A constant frictional force of -25 N for 20 sec delivers an impulse of -25 N * 20 sec = -500 N sec in the direction opposite the velocity.

By the impulse-momentum theorem we have impulse = change in momentum, so the change in momentum must be -500 N sec.

The change in momentum is m * `dv, so we have

m `dv = impulse and

`dv = impulse / m = -500 N s / (65 kg) = -7.7 N s / kg = -7.7 kg m/s^2 * s / kg = -7.7 m/s.

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RESPONSE -->

self critique assessment: 3

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00:02:46

gen phy #7.12 23 g bullet 230 m/s 2-kg block emerges at 170 m/s speed of block

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RESPONSE -->

p1 = mv = .023 kg * 230 m/s = 5.29 kg m/s

p2 = 170 m/s * .023 kg = 3.91 kg m/s

`dp = 5.29 kg m/s - 3.91 kg m/s = 1.38 kg m/s

1.38 kg m/s = 2 kg * vblock

vblock = .69 m/s

confidence assessment: 2

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00:03:21

**STUDENT SOLUTION: Momentum conservation gives us

m1 v1 + m2 v2 = m1 v1' + m2 v2' so if we let v2' = v, we have

(.023kg)(230m/s)+(2kg)(0m/s) = (.023kg)(170m/s)+(2kg)(v). Solving for v:

(5.29kg m/s)+0 = (3.91 kg m/s)+(2kg)(v)

.78kg m/s = 2kg * v

v = 1.38 kg m/s / (2 kg) = .69 m/s.

INSTRUCTOR COMMENT:

It's probably easier to solve for the variable v2 ':

Starting with m1 v1 + m2 v2 = m1 v1 ' + m2 v2 ' we add -m1 v1 ' to both sides to get

m1 v1 + m2 v2 - m1 v1 ' = m2 v2 ', then multiply both sides by 1 / m2 to get

v2 ` = (m1 v1 + m2 v2 - m1 v1 ' ) / m2.

Substituting for m1, v1, m2, v2 we will get the result you obtained.**

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RESPONSE -->

self critique assessment: 3

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00:03:33

**** Univ. 8.70 (8.68 10th edition). 8 g bullet into .992 kg block, compresses spring 15 cm. .75 N force compresses .25 cm. Vel of block just after impact, vel of bullet?

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RESPONSE -->

not univ phy

confidence assessment: 3

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00:03:40

** The spring ideally obeys Hook's Law F = k x. It follows that k = .75 N / .25 cm = 3 N / cm.

At compression 15 cm the potential energy of the system is PE = .5 k x^2 = .5 * 3 N/cm * (15 cm)^2 = 337.5 N cm, or 3.375 N m = 3.375 Joules, which we round to three significant figures to get 3.38 J.

The KE of the 1 kg mass (block + bullet) just after impact is in the ideal case all converted to this PE so the velocity of the block was v such that .5 m v^2 = PE, or v = sqrt(2 PE / m) = sqrt(2 * 3.38 J / ( 1 kg) ) = 2.6 m/s, approx.

The momentum of the 1 kg mass was therefore 2.6 m/s * .992 kg = 2.6 kg m/s, approx., just after collision with the bullet. Just before collision the momentum of the block was zero so by conservation of momentum the momentum of the bullet was 2.6 kg m/s. So we have

mBullet * vBullet = 2.6 kg m/s and vBullet = 2.6 kg m/s / (.008 kg) = 330 m/s, approx. **

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RESPONSE -->

self critique assessment: 3

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Your work looks very good. Let me know if you have any questions. &#