Assign.#(2)... Analysis of a Power Law Suppose we are told that the acceleration (a) of a particle moving with uniform speed (v) in a circle of radius (r) is proportional to some power of r, say (), and some power of (v), say (V™). Determine the values of (n) and (m) and write the simplest form of an equation for the acceleration. Hint: use an expression for (@) with a dimensionless constant of :proportionality (k)

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 129CP: In a later chapter, you will find that the weight of a particle varies with altitude such that...
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Assign.#(2)... Analysis of a Power Law Suppose we are told that the acceleration (a) of a particle moving with uniform speed (v) in a circle of radius (r) is proportional to some power of r, say (), and some power of (v), say (V™). Determine the values of (n) and (m) and write the simplest form of an equation for the acceleration. Hint: use an expression for (@) with a dimensionless constant of :proportionality (k)
Assign.#(2)... Analysis of a Power Law
Suppose we are told that
acceleration (a) of a particle moving
the
with uniform speed (v) in a circle of
radius (r) is proportional to some
power of r, say (r"), and some power of
(v), say (v"). Determine the values of (n)
and (m) and write the simplest form of
an equation for the acceleration. Hint:
use an expression for (a) with a
dimensionless
constant
of
:proportionality (k)
Transcribed Image Text:Assign.#(2)... Analysis of a Power Law Suppose we are told that acceleration (a) of a particle moving the with uniform speed (v) in a circle of radius (r) is proportional to some power of r, say (r"), and some power of (v), say (v"). Determine the values of (n) and (m) and write the simplest form of an equation for the acceleration. Hint: use an expression for (a) with a dimensionless constant of :proportionality (k)
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