Answered: Because the net radial force is acting…

Because the net radial force is acting as the centripetal force, we can equate them and solve for v: Fradial, net = Fc mv? T-mg cos(45 )= v = (T-mg cos(45')) -T-rg cos(45')

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 64P: A runner taking part in the 200-m dash must run around the end of a track that has a circular arc...

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Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

Why does the m change to an r in the rooted formulas. I want to understand why please.

回 X
a762645ccccS:centripetal-acceleration-and-centrip... & *
First attempt
Taia, net
Because the net radial force is acting as the centripetal force, we can equate
them and solve for v:
Fradial, net = F.
mv²
T-mg cos(45)
v =
(T-mg cos(45'))
m
-T - rg cos(45)
NA
2.5 m
V 3=
1.5 kg
(32 N) - (2.5 m) (9.8 ) cos(45)
m
U 6.001
6.00
4/4
The speed of the mass is 6.00
5:47 PM
63°F
E O 4) ENG
1/16/2022

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