2. Work, Energy, Power, and Energy Conservation. In Doctor Stranger Episode 13. A heart surgery was performed. In an actual setting. A surgeon is using material from a donated heart to repair a patient's damaged aorta and needs to know the elastic characteristies of this aortal material. With that having said, test must be performed/assessed. This test was carried out on a 16.0 em strip of the donated aorta reveal that it stretches 3.75 cm when a 1.50-N pull is exerted on it. (a) What is the force constant of this strip of aortal material? (b) If the naximum distance it will be able to stretch when it replaces the aorta in the damaged heart is 1.14 cm, what is the greatest force it will be able to exert there? (c) With all the conditions stated in the previous parts of the problem, what is the work done that it can exert? (d) What is the power that it can exert for an hour of heart beat (assume 80 beats per minute)?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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2. Work, Energy, Power, and Energy Conservation. In Doctor
Stranger Episode 13. A heart surgery was performed. In an
actual setting. A surgeon is using material from a donated heart
to repair a patient's damaged aorta and needs to know the elastic
characteristies of this aortal material. With that having said, test
must be performed/assessed. This test was carried out on a 16.0
cm strip of the donated aorta reveal that it stretches 3.75 cm
when a 1.50-N pull is exerted on it. (a) What is the force
constant of this strip of aortal material? (b) If the maximum
distance it will be able to stretch when it replaces the aorta in the damaged heart is 1.14 cm, what is the
greatest force it will be able to exert there? (c) With all the conditions stated in the previous parts of the
problem, what is the work done that it can exert? (d) What is the power that it can exert for an hour of
heart beat (assume 80 beats per minute)? (
Transcribed Image Text:2. Work, Energy, Power, and Energy Conservation. In Doctor Stranger Episode 13. A heart surgery was performed. In an actual setting. A surgeon is using material from a donated heart to repair a patient's damaged aorta and needs to know the elastic characteristies of this aortal material. With that having said, test must be performed/assessed. This test was carried out on a 16.0 cm strip of the donated aorta reveal that it stretches 3.75 cm when a 1.50-N pull is exerted on it. (a) What is the force constant of this strip of aortal material? (b) If the maximum distance it will be able to stretch when it replaces the aorta in the damaged heart is 1.14 cm, what is the greatest force it will be able to exert there? (c) With all the conditions stated in the previous parts of the problem, what is the work done that it can exert? (d) What is the power that it can exert for an hour of heart beat (assume 80 beats per minute)? (
Given:
1 = 16 cm = 0. 16 m
Ax = 3. 75 cm = 3.75 * 10-² m
F = 1. 50 N
X max = 1. 14 cm = 1. 14 * 10-2 m
t = 1 hr
(a)
using, Hook's Law;
F = kAx
here k is force cons tan t
k =
1.50 N
k =
3.75 10 m
K = 40 N/m
(b)
F,
"max = Kxmar
Fmax = 40 * 1. 14 * 10-2
F,
= 0.456 N
max
(c)
work done:
by conservation of energy
W = įkx?
%3D
W = * 40 * (1. 14 * 10-2)²
W = 2.6 * 10-3 J
%3D
(d)
P = W/t
2.6*10~°/
2.6*10~°s
3600 sec
P =
%3D
Ihr
P = 7.22 * 10-7
watt
Transcribed Image Text:Given: 1 = 16 cm = 0. 16 m Ax = 3. 75 cm = 3.75 * 10-² m F = 1. 50 N X max = 1. 14 cm = 1. 14 * 10-2 m t = 1 hr (a) using, Hook's Law; F = kAx here k is force cons tan t k = 1.50 N k = 3.75 10 m K = 40 N/m (b) F, "max = Kxmar Fmax = 40 * 1. 14 * 10-2 F, = 0.456 N max (c) work done: by conservation of energy W = įkx? %3D W = * 40 * (1. 14 * 10-2)² W = 2.6 * 10-3 J %3D (d) P = W/t 2.6*10~°/ 2.6*10~°s 3600 sec P = %3D Ihr P = 7.22 * 10-7 watt
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