Kinetic energy:

$\overline{){\mathbf{K}}{\mathbf{E}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{m}}{{\mathbf{v}}}^{{\mathbf{2}}}}$

Gravitational potential energy:

$\overline{){\mathbf{U}}{\mathbf{=}}{\mathbf{m}}{\mathbf{g}}{\mathbf{h}}}$

**(a)**

First, we need to determine the potential energy of the pendulum at 25°. However, the height, h, is unknown.

A pendulum is made by tying a 420g ball to a 51 cm long string. The pendulum is pulled 25 degrees to one side, then released.

(a) what is the ball's speed at the lowest point of its trajectory?

(b) To what angle does the pendulum swing on the other side?

(a) what is the ball's speed at the lowest point of its trajectory?

(b) To what angle does the pendulum swing on the other side?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Simple Harmonic Motion of Pendulums concept. You can view video lessons to learn Simple Harmonic Motion of Pendulums. Or if you need more Simple Harmonic Motion of Pendulums practice, you can also practice Simple Harmonic Motion of Pendulums practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Cerruti's class at WSU.