Suppose a pendulum bob is swinging back and forth. If the highest point is 12.5 cm above the lowest point, what would be speed of the bob in m/s when it passes the lowest point (no friction or air resistance)? Think Conservation of Mechanical Energy.

Respuesta :

Answer:

The speed of the bob  when it passes the lowest point  [tex]V = 1.57 \frac{m}{s}[/tex]

Explanation:

Given data

[tex]H = 12.5 \ cm = 0.125 \ m\\[/tex]

When a pendulum swinging back & forth then at highest point the velocity is zero and lowest point velocity is maximum.

Velocity at lowest point is given by  

[tex]V = \sqrt{2 g H}[/tex]

[tex]V = \sqrt{2 (9.81)(0.125)}[/tex]

[tex]V = 1.57 \frac{m}{s}[/tex]

Therefore the speed of the bob  when it passes the lowest point [tex]V = 1.57 \frac{m}{s}[/tex]