ap physics b 2003 scoring guidelines question...

15
AP PHYSICS B 2003 SCORING GUIDELINES Question 1 15 points total Distribution of points Copyright 2003 by College Entrance Examination Board. All rights reserved. Available at apcentral.collegeboard.com. 2 (a) 3 points For a free body diagram that includes any one of the three forces on Student A (weight, normal, or tension) 1 point For correctly including the other two forces on Student A 1 point For a correct free-body diagram for Student B (including both weight and tension) 1 point One point was deducted for each extraneous vector, up to a maximum of the number of point already earned (b) 3 points For equating the tension in the rope to the weight of Student B 1 point B T mg For a correct expression for the sum of the forces on Student A 1 point 0 A A F T N mg Eliminating T and solving for N A B N mg mg 2 70 kg 60 kg 9.8 m s 686 N 588 N N For the correct answer 1 point 98 N N (or 100 N using 2 10 m s g )

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AP PHYSICS B2003 SCORING GUIDELINES

Question 115 points total Distribution

of points

Copyright 2003 by College Entrance Examination Board. All rights reserved.

Available at apcentral.collegeboard.com.

2

(a) 3 points

For a free body diagram that includes any one of the three forces on Student A (weight,

normal, or tension)

1 point

For correctly including the other two forces on Student A 1 point

For a correct free-body diagram for Student B (including both weight and tension) 1 point

One point was deducted for each extraneous vector, up to a maximum of the number of point

already earned

(b) 3 points

For equating the tension in the rope to the weight of Student B 1 point

BT m g

For a correct expression for the sum of the forces on Student A 1 point

0A AF T N m g

Eliminating T and solving for N

A BN m g m g

270 kg 60 kg 9.8 m s 686 N 588 NN

For the correct answer 1 point

98 NN (or 100 N using 210 m sg )

AP PHYSICS B2003 SCORING GUIDELINES

Question 1 (continued)Distribution

of points

Copyright 2003 by College Entrance Examination Board. All rights reserved.

Available at apcentral.collegeboard.com.

3

(c) 3 points

For applying Newton�s 2nd

law to Student B 1 point

B BF m a

For a correct expression for the sum of the forces on Student B 1 point

B BF T m g

Solving for T and substituting:2

588 N 60 kg 0.25 m sB BT m g m a

For the correct answer 1 point

603 NT (or 615 N using 210 m sg )

(d) 2 points

For a correct response of �No� 1 point

For a reasonable explanation 1 point

Example: To lift student A off the floor, the tension must be greater than the students� weight

of (70 kg)g

An answer of �Yes� was acceptable IF the answer to (c) was greater than the weight of

Student A AND the justification was consistent.

(e) 3 points

For applying Newton�s 2nd

Law to Student B 1 point

B BF m a

For a correct expression for the sum of the forces on Student B 1 point

B BF T m g

Solving for a

b

Ta g

m

The minimum tension required to lift Student A is the student�s weight

Substituting:

2686 N9.8 m s

60 kga

For the correct answer 1 point21.63 m sa (or 1.67 m/s

2 using 210 m sg )

For indicating correct units in parts (b), (c) and (e) 1 point

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