Question

The initial swing of the tip of a pendulum is 40 cm. If each swing of the tip is 75% of the preceding swing, how far does the tip travel before eventually coming to rest?

Answer 1

The distance the tip of the pendulum travels before coming to rest can be found by calculating the sum of the distances of each swing. Each swing is 75% of the preceding swing.

Step-by-step explanation:

To find the distance the tip of the pendulum travels before coming to rest, we need to calculate the sum of the distances of each swing. We know that each swing is 75% of the preceding swing. Let's use 40 cm as the starting point:

1. First swing: 40 cm
2. Second swing: 40 cm * 0.75 = 30 cm
3. Third swing: 30 cm * 0.75 = 22.5 cm
4. Fourth swing: 22.5 cm * 0.75 = 16.875 cm
5. ...

We can continue this pattern and add up the distances until the swing becomes negligible and the tip comes to rest.