Work by a Spring A block with a mass of m is attached to a horizontal spring with a spring constant of k. The block is pulled a distance d away from its equilibrium position and released from rest. A short time later, the block is moving at speed and is a distance of away from its equilibrium position. Ignore friction. 5 k llllll m 6 m k 1.94kg 19.7 N d 36.9cm υ x 85.0 cm m S _cm (no answer) Correct Answer: 25.5 m k d υ Ꮖ. 1.99kg ZE N 37.5cm 80.5 cm 27.7cm m S (no answer)

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Solution:
Work-KE equation with initial velocity of zero (released from
rest):
W = 1mv² - 1m (0)2
The spring is the only force which does work (no friction).
Formula for work done by a spring:
WS
V spring = ½kx² - 1/kx²
Plug in xi
=
d and x f
= x:
W
/spring = ½½kd² - 1/kx²
Plug into the work-KE equation:
1½ kd² - 1½ kx² = 1/mv²
Transcribed Image Text:Solution: Work-KE equation with initial velocity of zero (released from rest): W = 1mv² - 1m (0)2 The spring is the only force which does work (no friction). Formula for work done by a spring: WS V spring = ½kx² - 1/kx² Plug in xi = d and x f = x: W /spring = ½½kd² - 1/kx² Plug into the work-KE equation: 1½ kd² - 1½ kx² = 1/mv²
Work by a Spring
A block with a mass of m is attached to a horizontal spring
with a spring constant of k. The block is pulled a distance d
away from its equilibrium position and released from rest. A
short time later, the block is moving at speed v and is a
distance of x away from its equilibrium position. Ignore
friction.
5
еееее
m
6
m
k
d
v
1.94kg
19.7 N
36.9cm
85.0
m
cm
S
Х
(no answer)
Correct Answer: 25.5
X
cm
m
k
d
v
X
N
1.99kg
37.5cm
80.5
cm
S
27.7cm
m
☑ (no answer)
Correct Answer: 20.2
Transcribed Image Text:Work by a Spring A block with a mass of m is attached to a horizontal spring with a spring constant of k. The block is pulled a distance d away from its equilibrium position and released from rest. A short time later, the block is moving at speed v and is a distance of x away from its equilibrium position. Ignore friction. 5 еееее m 6 m k d v 1.94kg 19.7 N 36.9cm 85.0 m cm S Х (no answer) Correct Answer: 25.5 X cm m k d v X N 1.99kg 37.5cm 80.5 cm S 27.7cm m ☑ (no answer) Correct Answer: 20.2
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