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)
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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)
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