A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position x; to position xp. Otheexpertta.com Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be x;=0. *spring =- kx / Correct! Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. W = - *k x dx v Correct! Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. W = - (1/2 ) kx a 7 8 9 HOME a d 1A^L 4 5 6 h k 3 P t END Vol BACKSPACE CLEAR DEL Submit Hint Feedback I give up!

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 44PQ: A student working on a school project modeled a trampoline as a spring obeying Hookes law and...
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A mass is sliding on a frictionless surface with a speed v. It runs into a linear
X
spring with a spring constant of k, which compresses from position x, to position xp.
X;
m
m
©theexpertta.com
Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the
spring to be x;=0.
= - kx v Correct!
Fspring
Part (b) Select the equation that correctly describes the work done by the spring to stop the mass.
W = -
w = - kx dx v Correct!
Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables.
W = - ( 1/2 ) k x2|
8
9
HOME
d
5
6.
a
h
j
1
2
3
P
END
-
Xf
Xị
VOI BACKSPACE
CLEAR
DEL
I give up!
Submit
Hint
Feedback
Hints: 1 for a 0% deduction. Hints remaining: 0
Feedback: 0% deduction per feedback.
|-What is the integral of x dx?
Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, xp= 68 cm, and k = 145 N/m.
W = - 33.5
W = -33.5
/ Correct!
Transcribed Image Text:A mass is sliding on a frictionless surface with a speed v. It runs into a linear X spring with a spring constant of k, which compresses from position x, to position xp. X; m m ©theexpertta.com Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be x;=0. = - kx v Correct! Fspring Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. W = - w = - kx dx v Correct! Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. W = - ( 1/2 ) k x2| 8 9 HOME d 5 6. a h j 1 2 3 P END - Xf Xị VOI BACKSPACE CLEAR DEL I give up! Submit Hint Feedback Hints: 1 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. |-What is the integral of x dx? Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, xp= 68 cm, and k = 145 N/m. W = - 33.5 W = -33.5 / Correct!
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