Question

A pendulum is used in a large clock. The pendulum has a mass of 2kg. If the pendulum is moving at a speed of 2.9 m/s when it reaches the lowest point on its path, what is the maximum height of the pendulum?

Answer 1

You first us 1/2(mv^2) to solve for the potential energy and then put that in to PE=m*g*h and solve for hight

Answer 2

Answer : Maximum height of the pendulum is 0.43 m

Explanation :

Given that,

Mass of the pendulum, m = 2 kg

Speed of the pendulum, v = 2.9 m/s

When it reaches the lowest point on its path, the potential energy at the highest point is equal to the kinetic energy at the lowest point.

i.e.

`KE=PE`

`(1)/(2)mv^2=mgh`

h is the height of the pendulum.

`h=(v^2)/(2g)`

`h=((2.9\ m/s)^2)/(2* 9.8\ m/s^2)`

`h=0.43\ m`

Hence, this is the required solution.