A space explorer lands on an unknown planet. She decides to measure thegravitational acceleration by tying a rock to the end of a 1.5 m string and using it as apendulum. She pulls the rock 0.1 m to the right (as shown) and lets go. The pendulumswings with a period of 1.0 s.Assume positive-x is to the right, and x = 0 when the string is vertical. The diagramshows the pendulum at time t = 0.b) What is the gravitational acceleration of the planet, g?write all your final numerical answers using two decimal places.(For example, please write 3.14 instead of, or 1.41 instead of √2, etc)a) What is the angular frequency, w?1.5m0.1mc) 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).d) Calculate the maximum horizontal acceleration of the rock.e) Draw a diagram of the pendulum when the rock has the maximum positive acceleration.f) Having measured g, the explorer now wants to use the pendulum to find the mass of the rock.Can she do this? If so, how? If not, why not?Briefly explain your answer, no calculations required!g) Using forces, briefly explain why the pendulum swings back and forth (simple harmonicmotion).

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Description: A space explorer lands on an unknown planet. She decides to measure thegravitational acceleration by tying a rock to the end of a 1.5 m string and using it as apendulum. She pulls the rock 0.1 m to the right (as shown) and lets go. The pendulumswing

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space explorer lands on an unknown planet. She decides to measure the ravitational acceleration by tying a rock to the end of a 1.5 m string and using it as a endulum. She pulls the rock 0.1 m to the right (as shown) and lets go. The pendulum wings with a period of 1.0 s. ssume positive-x is to the right, and x = 0 when the string is vertical. The diagram hows the pendulum at time t = 0. For example, please write 3.14 instead of π, or 1.41 instead of √2, etc) a) What is the angular frequency, w? 1.5m 0.1m write all your final numerical answers using two decimal places. 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).

space explorer lands on an unknown planet. She decides to measure the ravitational acceleration by tying a rock to the end of a 1.5 m string and using it as a endulum. She pulls the rock 0.1 m to the right (as shown) and lets go. The pendulum wings with a period of 1.0 s. ssume positive-x is to the right, and x = 0 when the string is vertical. The diagram hows the pendulum at time t = 0. For example, please write 3.14 instead of π, or 1.41 instead of √2, etc) a) What is the angular frequency, w? 1.5m 0.1m write all your final numerical answers using two decimal places. 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).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

Topic Video

Question

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.
b) What is the gravitational acceleration of the planet, g?
write all your final numerical answers using two decimal places.
(For example, please write 3.14 instead of, or 1.41 instead of √2, etc)
a) What is the angular frequency, w?
1.5m
0.1m
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).
d) Calculate the maximum horizontal acceleration of the rock.
e) Draw a diagram of the pendulum when the rock has the maximum positive acceleration.
f) Having measured g, the explorer now wants to use the pendulum to find the mass of the rock.
Can she do this? If so, how? If not, why not?
Briefly explain your answer, no calculations required!
g) Using forces, briefly explain why the pendulum swings back and forth (simple harmonic
motion).

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