Scenario Consider a cone made of a material for which friction may be neglected. The sides of the cone make an angle e with the horizontal plane. A small block is placed at point P. In Case 1, the block is released from rest and slides doun the side of the cone toward the point at the bottom. In Case 2, the block is released with initial motion so that the block travels with constant speed along the dotted circular path. Data Analysis PART A: In Case 1, the block is released from rest. Is the block accelerating? Yes No Explain, and if yes, determine the direction of the acceleration. In Case 2, the block is released so that it travels with a constant speed along the dotted circular path. Is the block accelerating? Yes No Explain, and if yes, determine the direction of the acceleration. Using Representations PART In both diagrams below, the weight F_of the block is drawn. Draw the normal force exerted in each case on the coresponding diagram. Use the grids provided to make each normal force have the proper length. (In each case, breaking one of the forces into components will help you find the direction of the acceleration.) Case 1 Case 2

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UNIT
Circular Motion and Gravitation 3.J Centripetal vs. Linear Acceleration
NAME
DATE
Scenario
Consider a cone made of a material for which friction may be neglected.
The sides of the cone make an angle e with the horizontal plane.
A small block is placed at point P. In Case 1, the block is released
from rest and slides down the side of the cone toward the point at the
bottom. In Case 2, the block is released uwith initial motion so that the
block travels with constant speed along the dotted circular path.
Data Analysis
PART A: In Case 1, the block is released from rest. Is the block accelerating?
Yes
No
Explain, and if yes, determine the direction of the acceleration.
In Case 2, the block is released so that it travels with a constant speed along the dotted circular
path. Is the block accelerating?
Yes
No
Explain, and if yes, determine the direction of the acceleration.
Using Representations
PART B: In both diagrams below, the weight F_of the block is drawn. Draw the normal force exerted in
each case on the corresponding diagram. Use the grids provided to make each normal force have
the proper length. (In each case, breaking one of the forces into components will help you find
the direction of the acceleration.)
Case 1
Case 2
78
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2019 Colege Board
Transcribed Image Text:UNIT Circular Motion and Gravitation 3.J Centripetal vs. Linear Acceleration NAME DATE Scenario Consider a cone made of a material for which friction may be neglected. The sides of the cone make an angle e with the horizontal plane. A small block is placed at point P. In Case 1, the block is released from rest and slides down the side of the cone toward the point at the bottom. In Case 2, the block is released uwith initial motion so that the block travels with constant speed along the dotted circular path. Data Analysis PART A: In Case 1, the block is released from rest. Is the block accelerating? Yes No Explain, and if yes, determine the direction of the acceleration. In Case 2, the block is released so that it travels with a constant speed along the dotted circular path. Is the block accelerating? Yes No Explain, and if yes, determine the direction of the acceleration. Using Representations PART B: In both diagrams below, the weight F_of the block is drawn. Draw the normal force exerted in each case on the corresponding diagram. Use the grids provided to make each normal force have the proper length. (In each case, breaking one of the forces into components will help you find the direction of the acceleration.) Case 1 Case 2 78 Return to Table of Contents 2019 Colege Board
3.J Centripetal vs. Linear Acceleration
Quantitative Analysis
PART C: Derive an expression for the magnitude of the normal force exerted on the object in each case in
terms of F, 0, and physical constants as necessary.
Case 1
Case 2
PART D: Use the diagrams in Part B to explain why the normal force is greater in Case 2. Then use your
equations in Part C to explain why the normal force is greater in Case 2.
| 79
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2019 Colege Board
Transcribed Image Text:3.J Centripetal vs. Linear Acceleration Quantitative Analysis PART C: Derive an expression for the magnitude of the normal force exerted on the object in each case in terms of F, 0, and physical constants as necessary. Case 1 Case 2 PART D: Use the diagrams in Part B to explain why the normal force is greater in Case 2. Then use your equations in Part C to explain why the normal force is greater in Case 2. | 79 Return to Table of Contents 2019 Colege Board
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