(a) Two objects are experiencing uniform circular motion (motion in a circular p
ID: 1963256 • Letter: #
Question
(a) Two objects are experiencing uniform circular motion (motion in a circular path with constant speed). Object 2's speed is twice as big as object 1's, and the radius of the path followed by object 2 is twice as big as the radius of object 1's path. How do the magnitudes of their accelerations compare?
Because the speed is constant, neither object has an acceleration.
The magnitude of object 1's acceleration is two times larger than the magnitude of object 2's acceleration.
The magnitude of object 1's acceleration is four times larger than the magnitude of object 2's acceleration.
The magnitude of object 2's acceleration is two times larger than the magnitude of object 1's acceleration.
The magnitude of object 2's acceleration is four times larger than the magnitude of object 1's acceleration.
(b) When an object is experiencing uniform circular motion, what is the direction of its acceleration?
Explanation / Answer
a= v^2/r M2 has 2v and 2r (2v)^2/(2r)= 4v^2/2r= 2v^2/r ratio is (2v^2/r)/(v^2/r) = 2 object two has 2 times larger. b) acceleration is directed toward the center of the circle. although speed is constant, its velocity is changing because its direction is changing.
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