ne of your classmates is tra ackyard and jumped off her rain. The student weighs 12 ne roof's height is h = 25 ft. vill bottom out (meaning th dequate value of ht?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Dne of your classmates is training for American Ninja Warrior, so she set up a trampoline in her
packyard and jumped off her roof, you know, because that's what Ninja Warriors do when they
train. The student weighs 120 Ibs. and the coefficient elasticity of the trampoline is k = 50 lb/in. If
the roof's height is h = 25 ft. and the height of the trampoline is h = 3 ft, figure out if the trampoline
will bottom out (meaning that the student will actually touch the ground). If so, what should be the
adequate value of ht?
%3D
FBD
120
32-2
W=120 16=
K- 30 ib
12h
in
Ft
hE=3Ft
KEz+RER=KEL t PEg + Wnc
Transcribed Image Text:Dne of your classmates is training for American Ninja Warrior, so she set up a trampoline in her packyard and jumped off her roof, you know, because that's what Ninja Warriors do when they train. The student weighs 120 Ibs. and the coefficient elasticity of the trampoline is k = 50 lb/in. If the roof's height is h = 25 ft. and the height of the trampoline is h = 3 ft, figure out if the trampoline will bottom out (meaning that the student will actually touch the ground). If so, what should be the adequate value of ht? %3D FBD 120 32-2 W=120 16= K- 30 ib 12h in Ft hE=3Ft KEz+RER=KEL t PEg + Wnc
train. The student weighs 120 lbs. and the coe
the roof's height is h 25 ft. and the height o
will bottom out (meaning that the student w
adequate value of h;?
田
In
Transcribed Image Text:train. The student weighs 120 lbs. and the coe the roof's height is h 25 ft. and the height o will bottom out (meaning that the student w adequate value of h;? 田 In
Expert Solution
Step 1: Introduction

The above given question is based upon energy balance of the system at different positions.

So, to obtain the correct solution to the given question, we must balance the energies of the student at point1 (at height h) and point 2(after being hit to the trampoline). It can be clearly seen from the figure that the student possess only potential energy at point 1 and this energy is being absorbed by the trampoline when the student hits it.

So, we just need to calculate the resultant potential energy of the student with respect to trampoline at point 1 and equate it to the elastic energy of the trampoline at point 2 and we will reach to the correct solution.

So, let us begin with our calculation in the next step as give below.

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