a- Find the velocity x and the position x as functions of the time t for a particle of mass m, which starts from rest at x=0 and t=0, subject to the force function: F,= fo cos' et b- Given the two- dimensional potential energy function V(G) = V, -k 82 e-r*182 %3D Where r = xi + yj and Vo, k and o are constants, find the force function.

a- Find the velocity x and the position x as functions of the time t for a particle of mass m, which starts from rest at x=0 and t=0, subject to the force function: F,= fo cos' et b- Given the two- dimensional potential energy function V(G) = V, -k 82 e-r*182 %3D Where r = xi + yj and Vo, k and o are constants, find the force function.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

Q3:
a- Find the velocity x and the position x as functions of the time t for a
particle of mass m, which starts from rest at x=0 and =0, subject to
the force function:
F= fo cos' et
b- Given the two- dimensional potential energy function
V(r) = V, -k 82 e-r*182
Where r = xi + yj and Vo, k and o are constants, find the force
function.

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1- Find the velocity i and the position x as functions of the time t for a particle of mass m, which starts from rest at x =0 and t =0, subject to the following force functions: (a) F, = F.+ ct (b) Fx = F, sin ct (c) Fx = F, ed Where F, andc are positive constants.
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Dynamics: Energy Relation of Particles and Rigid Bodies