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AP PHYSICS B 2004 SCORING GUIDELINES Question 1 15 points total Distribution of points (a) i. 1 point For correctly locating point P at the low point between the hill and the loop 1 point ii. 3 points For any indication that energy is conserved 1 point Setting the kinetic energy at P equal to the potential energy at A: max 1 2 A m m u gy max 2 A gy u For correct substitution 1 point 2 max 2 9.8 m s 90 m u For the correct answer 1 point u (or 42.4 m s using 2 10 m s g ) A maximum of 2 points could be earned for applying the kinematics equation without an explicit statement that since energy is conserved, anything falling from A to P will achieve the same speed as something that is dropped. 2 2 max 2 A a y u u D Copyright © 2004 by College Entrance Examination Board. All rights reserved. Visit apcentral.collegeboard.com (for AP professionals) and www.collegeboard.com/apstudents (for AP students and parents). 3

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Page 1: AP PHYSICS B 2004 SCORING GUIDELINESscarlsonphysics.weebly.com/uploads/1/6/8/6/1686828/mechanics_ii...AP PHYSICS B 2004 SCORING GUIDELINES Question 1 (continued) Distribution ... *Kh"c"uqnwvkqp"uvctvgf"ykvj"vjku"gzrtguukqp"dwv"wugf"cp"kpeqttgev"pgv"hqteg."qpg

AP PHYSICS B2004 SCORING GUIDELINES

Question 115 points total Distribution

of points(a)

i. 1 point

For correctly locating point P at the low point between the hill and the loop 1 point

ii. 3 points

For any indication that energy is conserved 1 point

Setting the kinetic energy at P equal to the potential energy at A:

max1

2 Am mu gy

max 2 Agyu

For correct substitution 1 point2

max 2 9.8 m s 90 mu

For the correct answer 1 point

u (or 42.4 m s using2

10 m sg )

A maximum of 2 points could be earned for applying the kinematics equation

without an explicit statement that since energy is conserved,

anything �falling� from A to P will achieve the same speed as something that is

dropped.

2 2max 2A a yu u D

Copyright © 2004 by College Entrance Examination Board. All rights reserved.

Visit apcentral.collegeboard.com (for AP professionals) and www.collegeboard.com/apstudents (for AP students and parents).

3

Page 2: AP PHYSICS B 2004 SCORING GUIDELINESscarlsonphysics.weebly.com/uploads/1/6/8/6/1686828/mechanics_ii...AP PHYSICS B 2004 SCORING GUIDELINES Question 1 (continued) Distribution ... *Kh"c"uqnwvkqp"uvctvgf"ykvj"vjku"gzrtguukqp"dwv"wugf"cp"kpeqttgev"pgv"hqteg."qpg

AP PHYSICS B2004 SCORING GUIDELINES

Question 1 (continued)Distribution

of points

(b) 3 points

For any indication that energy is conserved 1 point

Equating the total energy at point B to the potential energy at point A:

1

2 B B Am mgy mgu y

Solving for the speed at point B:

2B A Bg y yu

For correct substitution 1 point22 9.8 m s 90 m 50 mBu

For the correct answer 1 point

Bu (or 2 using8.3 m s2

10 m sg )

As in (a) ii above, a maximum of 2 points could be earned for using the

kinematics equation.

(c)

i. 3 points

For each correctly drawn and labeled vector 1 pt each

For no extraneous vectors, given that the two vectors above are drawn correctly 1 point

ii. 3 points

For determining the correct value of the weight 1 point2700 kg 9.8 m smg

6860 Nmg (or 7000 N using2

10 m sg )

For indicating there is a centripetal force on the car, either separately or by setting

the sum of the forces equal to the centripetal force

1 point

BmN mg

r

u

22700 kg 28 m s

6860 N20 m

BmN mg

r

u

For the correct answer 1 point

20,580 NN (or 21,000 N using 210 m sg )

Copyright © 2004 by College Entrance Examination Board. All rights reserved.

Visit apcentral.collegeboard.com (for AP professionals) and www.collegeboard.com/apstudents (for AP students and parents).

4

Page 3: AP PHYSICS B 2004 SCORING GUIDELINESscarlsonphysics.weebly.com/uploads/1/6/8/6/1686828/mechanics_ii...AP PHYSICS B 2004 SCORING GUIDELINES Question 1 (continued) Distribution ... *Kh"c"uqnwvkqp"uvctvgf"ykvj"vjku"gzrtguukqp"dwv"wugf"cp"kpeqttgev"pgv"hqteg."qpg

AP PHYSICS B2004 SCORING GUIDELINES

Question 1 (continued)Distribution

of points

(d) 2 points

For any clear description of both a modification that will lower the height of

point B and a correct justification

2 points

For example: Flatten out the track on either side of the loop so the bottom of the

loop is on the ground, and thus point B is lower. The work done by friction will

reduce the total mechanical energy available at point B, so if the kinetic energy at

point B is to remain the same, the potential energy at that point must be reduced.

Only one point was awarded for an answer that showed some understanding but was

not totally clear or complete.

Copyright © 2004 by College Entrance Examination Board. All rights reserved.

Visit apcentral.collegeboard.com (for AP professionals) and www.collegeboard.com/apstudents (for AP students and parents).

5

Page 4: AP PHYSICS B 2004 SCORING GUIDELINESscarlsonphysics.weebly.com/uploads/1/6/8/6/1686828/mechanics_ii...AP PHYSICS B 2004 SCORING GUIDELINES Question 1 (continued) Distribution ... *Kh"c"uqnwvkqp"uvctvgf"ykvj"vjku"gzrtguukqp"dwv"wugf"cp"kpeqttgev"pgv"hqteg."qpg

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Page 5: AP PHYSICS B 2004 SCORING GUIDELINESscarlsonphysics.weebly.com/uploads/1/6/8/6/1686828/mechanics_ii...AP PHYSICS B 2004 SCORING GUIDELINES Question 1 (continued) Distribution ... *Kh"c"uqnwvkqp"uvctvgf"ykvj"vjku"gzrtguukqp"dwv"wugf"cp"kpeqttgev"pgv"hqteg."qpg

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Page 6: AP PHYSICS B 2004 SCORING GUIDELINESscarlsonphysics.weebly.com/uploads/1/6/8/6/1686828/mechanics_ii...AP PHYSICS B 2004 SCORING GUIDELINES Question 1 (continued) Distribution ... *Kh"c"uqnwvkqp"uvctvgf"ykvj"vjku"gzrtguukqp"dwv"wugf"cp"kpeqttgev"pgv"hqteg."qpg

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Page 7: AP PHYSICS B 2004 SCORING GUIDELINESscarlsonphysics.weebly.com/uploads/1/6/8/6/1686828/mechanics_ii...AP PHYSICS B 2004 SCORING GUIDELINES Question 1 (continued) Distribution ... *Kh"c"uqnwvkqp"uvctvgf"ykvj"vjku"gzrtguukqp"dwv"wugf"cp"kpeqttgev"pgv"hqteg."qpg

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7

Page 18: AP PHYSICS B 2004 SCORING GUIDELINESscarlsonphysics.weebly.com/uploads/1/6/8/6/1686828/mechanics_ii...AP PHYSICS B 2004 SCORING GUIDELINES Question 1 (continued) Distribution ... *Kh"c"uqnwvkqp"uvctvgf"ykvj"vjku"gzrtguukqp"dwv"wugf"cp"kpeqttgev"pgv"hqteg."qpg

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( NMGLR

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8

Page 19: AP PHYSICS B 2004 SCORING GUIDELINESscarlsonphysics.weebly.com/uploads/1/6/8/6/1686828/mechanics_ii...AP PHYSICS B 2004 SCORING GUIDELINES Question 1 (continued) Distribution ... *Kh"c"uqnwvkqp"uvctvgf"ykvj"vjku"gzrtguukqp"dwv"wugf"cp"kpeqttgev"pgv"hqteg."qpg
Page 20: AP PHYSICS B 2004 SCORING GUIDELINESscarlsonphysics.weebly.com/uploads/1/6/8/6/1686828/mechanics_ii...AP PHYSICS B 2004 SCORING GUIDELINES Question 1 (continued) Distribution ... *Kh"c"uqnwvkqp"uvctvgf"ykvj"vjku"gzrtguukqp"dwv"wugf"cp"kpeqttgev"pgv"hqteg."qpg