Scenario Consider a cone made of a material for which friction may be neglected. The sides of the cone make an angle 0 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 with initial motion so that the block travels with constant speed along the dotted circular path. Cas Busbu Data Analysis In Case 1, the block is released from rest. Is the block accelerating? X Yes No Explain, and if yes, determine the direction of the acceleration. It B in a diretiun downnards parallel to the Stele ot the coner In Case 2, the block is released so that it travels with a constant speed along the dotted circular path. Is the block accelerating? X No Yes Explain, and if es, determine the direction of the acceleration. Since it ts a canstanit spered, Tit i3 not accelerating

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Chapter1: Units, Trigonometry. And Vectors
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Part C and D, please, not A and B ( I have A and B already)

Corl
UNIT
3)
Circular Motion and Gravitation 3.J Centripetal ys. Linear Acceleration
DATE
NAME
Scenario
Consider a cone made of a material for which friction may be neglected.
The sides of the cone make an angle 0 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 with initial motion so that the
block travels with constant speed along the dotted circular path.
my case
mgs
Data Analysis
PART A: In Case 1, the block is released from rest. Is the block accelerating?
メ Yes
No
Explain, and if yes, determine the direction of the acceleration.
barallel. to the
It B in a direction downmards
stele of thecone
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.
Since it is a canstant speed, it is
hot accelerating
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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Transcribed Image Text:Corl UNIT 3) Circular Motion and Gravitation 3.J Centripetal ys. Linear Acceleration DATE NAME Scenario Consider a cone made of a material for which friction may be neglected. The sides of the cone make an angle 0 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 with initial motion so that the block travels with constant speed along the dotted circular path. my case mgs Data Analysis PART A: In Case 1, the block is released from rest. Is the block accelerating? メ Yes No Explain, and if yes, determine the direction of the acceleration. barallel. to the It B in a direction downmards stele of thecone 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. Since it is a canstant speed, it is hot accelerating 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
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.
8'
Case 2
Case 1
EF=ma
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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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. 8' Case 2 Case 1 EF=ma 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
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