7.3 The length of a spring hanging from a stand with nothing hanging off of it is 50 cm. When a 1 kg mass is hung from the spring the length of the spring (when the mass is at rest) is 58 cm. (a) What is the spring constant of this spring? (b) What would the time period be if the mass were displaced? The 1 kg mass is removed and a 5 kg mass is hung on the spring instead. (c) What is the length of the spring is the 5 kg mass is hanging at rest? (d) What would the time period be if the mass were displaced? The 5 kg mass is removed and is replaced by an unknown mass. The time period of the oscillation with the unknown mass is 25% that of the time period when the 1 kg mass is hanging from the spring. (e) What is the unknown mass?

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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7.3 The length of a spring hanging from a stand with nothing hanging off of it is 50 cm. When a 1 kg mass is hung from the spring the length of the spring (when the mass is at rest) is 58 cm.

(a) What is the spring constant of this spring?

(b) What would the time period be if the mass were displaced?

The 1 kg mass is removed and a 5 kg mass is hung on the spring instead.

(c) What is the length of the spring is the 5 kg mass is hanging at rest?

(d) What would the time period be if the mass were displaced? The 5 kg mass is removed and is replaced by an unknown mass. The time period of the oscillation with the unknown mass is 25% that of the time period when the 1 kg mass is hanging from the spring.

(e) What is the unknown mass?

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