A block of mass m = 3.98 kg is attached to a spring, which F (N) 64 is resting on a horizontal frictionless table. The block is 5- pushed into the spring, compressing it by 5.00 cm, and is then released from rest. The spring begins to push the 3- block back toward the equilibrium position at e = 0 cm. The graph shows the component of the force (in Newtons) exerted by the spring on the block versus the position of 2- x (ст) the block (in centimeters) relative to equilibrium. Use the -5 -4 -3 -2 –1 4 graph to answer the questions. -2 -3 - How much work is done by the spring in pushing the block -4 from its initial position at æ = -5.00 cm to a = 2.86 cm? --5- -6- work: 19.9 What is the speed of the block when it reaches x = 2.86 cm? speed: 2.25 m/s What is the maximum speed of the block? maximum speed: 2.75 m/s

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 block of mass m = 3.98 kg is attached to a spring, which
F (N)
64
is resting on a horizontal frictionless table. The block is
5-
pushed into the spring, compressing it by 5.00 cm, and is
then released from rest. The spring begins to push the
3-
block back toward the equilibrium position at e = 0 cm.
The graph shows the component of the force (in Newtons)
exerted by the spring on the block versus the position of
2-
x (ст)
the block (in centimeters) relative to equilibrium. Use the
-5
-4 -3 -2 –1
4
graph to answer the questions.
-2
-3 -
How much work is done by the spring in pushing the block
-4
from its initial position at æ = -5.00 cm to a = 2.86 cm?
--5-
-6-
work:
19.9
What is the speed of the block when it reaches
x = 2.86 cm?
speed: 2.25
m/s
What is the maximum speed of the block?
maximum speed: 2.75
m/s
Transcribed Image Text:A block of mass m = 3.98 kg is attached to a spring, which F (N) 64 is resting on a horizontal frictionless table. The block is 5- pushed into the spring, compressing it by 5.00 cm, and is then released from rest. The spring begins to push the 3- block back toward the equilibrium position at e = 0 cm. The graph shows the component of the force (in Newtons) exerted by the spring on the block versus the position of 2- x (ст) the block (in centimeters) relative to equilibrium. Use the -5 -4 -3 -2 –1 4 graph to answer the questions. -2 -3 - How much work is done by the spring in pushing the block -4 from its initial position at æ = -5.00 cm to a = 2.86 cm? --5- -6- work: 19.9 What is the speed of the block when it reaches x = 2.86 cm? speed: 2.25 m/s What is the maximum speed of the block? maximum speed: 2.75 m/s
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