13. You learned in Science that Energy is conserved, that Potential Energy must balance Kinetic energy. Mathematically, that means: mgh = – nv², where mgh is Potential Energy 2 1 %3D and -mv² is Kinetic energy. Reminder that m is mass, g is the acceleration due to gravity, h is height and v is velocity. a) Balance this equation such that the sum of Potential and Kinetic Energy is zero (hint: gravity is negative). b) Solve this equation for v; again, you only need the Algebra you've learned! (hint: don't worry about the negative at the end!) Show your work!

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter25: Electric Potential
Section: Chapter Questions
Problem 25.3CQ: When charged particles are separated by an infinite distance, the electric potential energy of the...
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13. You learned in Science that Energy is conserved,
that Potential Energy must balance Kinetic energy.
Mathematically, that means:
1
mgh =-mv², where mgh is Potential
%3D
Energy
1
and -mv² is Kinetic energy. Reminder that m is
2
mass, g is the acceleration due to gravity, h is
height and v is velocity.
a) Balance this equation such that the sum of
Potential and Kinetic Energy is zero (hint: gravity is
negative).
b) Solve this equation for v; again, you only need
the Algebra you've learned! (hint: don't worry about
the negative at the end!) Show your work!
+
tv
MAR
18
Transcribed Image Text:13. You learned in Science that Energy is conserved, that Potential Energy must balance Kinetic energy. Mathematically, that means: 1 mgh =-mv², where mgh is Potential %3D Energy 1 and -mv² is Kinetic energy. Reminder that m is 2 mass, g is the acceleration due to gravity, h is height and v is velocity. a) Balance this equation such that the sum of Potential and Kinetic Energy is zero (hint: gravity is negative). b) Solve this equation for v; again, you only need the Algebra you've learned! (hint: don't worry about the negative at the end!) Show your work! + tv MAR 18
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