Solve.
-A pendulum bob swings $6.0 \mathrm {~cm}$ on its first oscillation. On each subsequent oscillation the bob travels $\frac { 1 } { 3 }$ of the previous distance. Find the total distance the bob travels before coming to rest.
A) $12.0 \mathrm {~cm}$
B) $9.0 \mathrm {~cm}$
C) $13.3 \mathrm {~cm}$
D) $13.0 \mathrm {~cm}$

Question

Quizplus · Accepted Answer

The total distance traveled by the bob before coming to rest is the sum of the distances traveled on each oscillation. On the first oscillation, the bob travels 6.0 cm. On the second oscillation, the bob travels 1/3 of 6.0 cm, or 2.0 cm. On the third oscillation, the bob travels 1/3 of 2.0 cm, or 0.67 cm. And so on. The total distance traveled by the bob before coming to rest is 6.0 cm + 2.0 cm + 0.67 cm + ... = 12.0 cm.

Solve -A Pendulum Bob Swings 6.0 cm6.0 \mathrm {~cm}6.0 cm On Its First Oscillation

Solve
-A Pendulum Bob Swings $6.0 \mathrm {~cm}$ On Its First Oscillation