A space explorer lands on an unknown planet. She decides to measure the gravitational acceleration by tying a rock to the end of a 1.5 m string and using it as a pendulum. She pulls the rock 0.1 m to the right (as shown) and lets go. The pendulum swings with a period of 1.0 s. Assume positive-x is to the right, and x = 0 when the string is vertical. The diagram shows the pendulum at time t = 0. a) What is the angular frequency, ω? b) What is the gravitational acceleration of the planet, g? c) Write an expression for the horizontal position of the rock as a function of time, x(t). All terms should be evaluated numerically (except t)

A space explorer lands on an unknown planet. She decides to measure the gravitational acceleration by tying a rock to the end of a 1.5 m string and using it as a pendulum. She pulls the rock 0.1 m to the right (as shown) and lets go. The pendulum swings with a period of 1.0 s. Assume positive-x is to the right, and x = 0 when the string is vertical. The diagram shows the pendulum at time t = 0. a) What is the angular frequency, ω? b) What is the gravitational acceleration of the planet, g? c) Write an expression for the horizontal position of the rock as a function of time, x(t). All terms should be evaluated numerically (except t)