query assignment 20

course phy201

F˛Ą‰¤źw‰đ…ÝŐµ«ŚüÉ€îě’„‰±ůčOŤassignment #020

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020. `query 20

Physics I

10-23-2007

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20:32:50

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

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RESPONSE -->

Not sure i understand the question fully. But to get the compnents of the final vector from the compnents of other vectors you first add all the X and Y components to get to the two final X and Y components for the vector.

confidence assessment: 2

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20:33:16

** 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 -->

ok

self critique assessment: 3

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20:34:38

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

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RESPONSE -->

The magnitude is the length of the hyp. Knowing this and the angle we can use the sine and cosine funtions of the angle *hyp to get the magnitude of the X and Y components.

confidence assessment: 3

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20:34:52

** 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 -->

ok

self critique assessment: 3

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20:48:53

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 so -25N/65Kg = -.38 m/s^2 * 20 sec = -7.6m/s change in velocity

confidence assessment: 2

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20:51:57

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 -->

I got the right answer but used the laws of motion instead of energy. It's difficult to be sure exactly what is being looked for in any specific assignment.

self critique assessment: 2

This is a Chapter 7 problem and the topic is impulse-momentum.

In any case I believe you understand the solution.

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21:07:14

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 -->

the KE lost by the bullet will be transferred to the block.

KE before impact is 1/2 * .023kg*(230m/s)^2 = 608 J

KE after impact is 1/2*.023kg*(170m/s)^2=332 J

dKE = 608 - 332 = 276 J

276 J = 1/2* 2kg*v^2 so v = sqrt of 276 or 16.6 m/s

confidence assessment: 2

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21:14:06

**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 -->

Why did my method not work?

self critique assessment: 1

This situation involves nonconservative forces (mostly frictional forces as the bullet penetrates the wood). There is no reason to expect that kinetic energy will be conserved.

However the forces exerted by the bullet on the block and by the block on the bullet are equal and opposite, and they act for the same time, leading to equal and opposite changes in momentum.

The momentum of an isolated system remains constant. So does total energy. However energy can change from kinetic to potential, and kinetic energy can be dissipated by nonconservative forces.

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Your work looks good. See my notes. Let me know if you have any questions. &#