A dog chases a cat in a circular path around the base of a tree. The velocity of the dog is 5.4 m/s. If the centripetal acceleration of the dog is 48.6 m/s2, what is the radius …

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asked Dec 11, 2020 94.7k views

2 Answers

Alex Jasmin · Answer 1 · 2020-12-16T10:23:25+0000

Given:

Velocity of the dog, v = 5.4 m/s

Centripetal acceleration, a = 48.6 m/s2

To determine:

Radius of the path

Step-by-step explanation:

The centripetal acceleration is related to the velocity and radius as:

a = v²/r

r = v²/a = (5.4 m/s)²/48.6 m/s2 = 0.6 m

Ans: Radius of the path is 0.6 m