5. A ball of mass M is on a horizontal surface with negligible friction. One end of a string is attached to the ball so that it is spun in a horizontal circle of radius R at a tangential speed vo, as shown in Figure 1. A free-body diagram for the ball at an instant in time is shown in Figure 2. The magnitude of the tension force is also indicated in Figure 2. Which of the following equations represents the centripetal acceleration of the ball if its tangential speed is increased to 2v.? vo a. = 2R FNormal a. Figure 1. Top View b. a. = R 2v, FTrension-Mv %3D C. a. = 4vo d. a. = R. Mg Answer is Figure 2

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Chapter6: Motion In Two Dimensions
Section6.2: Circular Motion
Problem 21SSC
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5. A ball of mass M is on a horizontal surface with negligible friction. One
end of a string is attached to the ball so that it is spun in a horizontal circle
of radius R at a tangential speed vo, as shown in Figure 1. A free-body
diagram for the ball at an instant in time is shown in Figure 2. The
magnitude of the tension force is also indicated in Figure 2. Which of the
following equations represents the centripetal acceleration of the ball if
its tangential speed is increased to 2v.?
a. a, =
2R
FNormal
Mv
Figure 1.
Top View
b. a, =
R
FTension
2vo
C. a. =
%3D
4vo
d.
ac
Mg
R
Answer is
Figure 2
Transcribed Image Text:5. A ball of mass M is on a horizontal surface with negligible friction. One end of a string is attached to the ball so that it is spun in a horizontal circle of radius R at a tangential speed vo, as shown in Figure 1. A free-body diagram for the ball at an instant in time is shown in Figure 2. The magnitude of the tension force is also indicated in Figure 2. Which of the following equations represents the centripetal acceleration of the ball if its tangential speed is increased to 2v.? a. a, = 2R FNormal Mv Figure 1. Top View b. a, = R FTension 2vo C. a. = %3D 4vo d. ac Mg R Answer is Figure 2
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