A pendulum consists of a 3.5 kg stone swinging on a 4.1 m string of negligible mass. The stone has a speed of 8.0 m/s when it passes its lowest point. (a) What is the speed when the string is at 60° to the vertical? (b) What is the greatest angle with the vertical that the string will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system? (a) Number i Unit (b) Number i Unit (c) Number i Unit

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A pendulum consists of a 3.5 kg stone swinging on a 4.1 m string of negligible mass. The stone has a speed of 8.0 m/s when it passes its
lowest point. (a) What is the speed when the string is at 60° to the vertical? (b) What is the greatest angle with the vertical that the
string will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's
lowest point, what is the total mechanical energy of the system?
(a) Number
i
Unit
(b) Number
Unit
(c) Number
i
Unit
Transcribed Image Text:A pendulum consists of a 3.5 kg stone swinging on a 4.1 m string of negligible mass. The stone has a speed of 8.0 m/s when it passes its lowest point. (a) What is the speed when the string is at 60° to the vertical? (b) What is the greatest angle with the vertical that the string will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system? (a) Number i Unit (b) Number Unit (c) Number i Unit
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