A clever engineer designs a "sprong" that obeys the force law F₂ = -q(x-x)³, where is the equilibrium position of the end of the sprong and q is the sprong constant. For simplicity, we'll let x=0 m. Then F₂ = −qx³

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 85PQ
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A clever engineer designs a "sprong" that obeys the
force law F₂ = -q(x - x)³, where x is the
equilibrium position of the end of the sprong and q
is the sprong constant. For simplicity, we'll let
xe =0 m. Then F₂ =-qx³
Transcribed Image Text:A clever engineer designs a "sprong" that obeys the force law F₂ = -q(x - x)³, where x is the equilibrium position of the end of the sprong and q is the sprong constant. For simplicity, we'll let xe =0 m. Then F₂ =-qx³
Part A
What are the units of q?
N
N/m
N/m²
ⒸN/m³
Submit Previous Answers
Correct
Part B
Find an expression for the potential energy of a stretched or compressed sprong.
Express your answer in terms of the variables g and z.
U(z)= qr¹
Submit Previous Answere
Correct
Part C
A sprong-loaded toy gun shoots a 24 g plastic ball. What is the launch speed if the sprong constant is 4.6x10 N/m³ and the sprong is compressed 13 cm? Assume the barrel is frictionless.
Express your answer with the appropriate unite.
- 32
m
S
Submit Previous Answers Request Answer
?
* Incorrect; Try Again; 8 attempts remaining
Transcribed Image Text:Part A What are the units of q? N N/m N/m² ⒸN/m³ Submit Previous Answers Correct Part B Find an expression for the potential energy of a stretched or compressed sprong. Express your answer in terms of the variables g and z. U(z)= qr¹ Submit Previous Answere Correct Part C A sprong-loaded toy gun shoots a 24 g plastic ball. What is the launch speed if the sprong constant is 4.6x10 N/m³ and the sprong is compressed 13 cm? Assume the barrel is frictionless. Express your answer with the appropriate unite. - 32 m S Submit Previous Answers Request Answer ? * Incorrect; Try Again; 8 attempts remaining
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