1. After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 55.0 cm. The explorer finds that the pendulum completes 102 full swing cycles in a time of 133 ss What is the magnitude of the gravitational acceleration on this planet?

Express your answer in meters per second per second.

2. A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. When the block is at xx = 0.350 mm, the acceleration of the block is -5.40 m/s2m/s2.

What is the frequency of the motion?

3. If an earthquake wave having a wavelength of 10.0 km causes the ground to vibrate 14.0 times each minute, what is the speed of the wave? Express your answer in kilometers per second.