Curvature also plays a key role in physics. The magnitude of a force required to move an object at constant speed along a curved path is, according to Newton's laws, a constant multiple of the curvature of the trajectories. Use |F| = m|a| IF|=m|a| and the decomposition of acceleration into tangential and normal components to choose the answer choice below that correctly expresses the above statement as a mathematical equation.

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u1/2020
Homework 13.4 (page 10 of 10)
The following is a quotation from an article in The American Mathematical Monthly, titled "Curvature
in the Eighties" by Robert Osserman (October 1990, page 731):
Curvature also plays a key role in physics. The magnitude of a force required to move an object at
constant speed along a curved path is, according to Newton's laws, a constant multiple of the
curvature of the trajectories.
Use |F| = m|a| IF=m|a| and the decomposition of acceleration into tangential and normal
components to choose the answer choice below that correctly expresses the above statement as a
mathematical equation.
Select one:
a. |F| = 2m²vK
b JFI = mv'x
mvk
d. [F] = mv²K
e. F] = m²v²K
Transcribed Image Text:u1/2020 Homework 13.4 (page 10 of 10) The following is a quotation from an article in The American Mathematical Monthly, titled "Curvature in the Eighties" by Robert Osserman (October 1990, page 731): Curvature also plays a key role in physics. The magnitude of a force required to move an object at constant speed along a curved path is, according to Newton's laws, a constant multiple of the curvature of the trajectories. Use |F| = m|a| IF=m|a| and the decomposition of acceleration into tangential and normal components to choose the answer choice below that correctly expresses the above statement as a mathematical equation. Select one: a. |F| = 2m²vK b JFI = mv'x mvk d. [F] = mv²K e. F] = m²v²K
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