Quiz 10

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University Of Arizona *

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102

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Physics

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Dec 6, 2023

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Question 1 (2 points) Saved Listen A thin, circular hoop with a radius of 0.32 m is hanging on a nail. Adam notices that the hoop is oscillating back and forth through small angles like a physical pendulum. The moment of inertia of the hoop for the rotational axis passing through the nail is I = 2mr^2. What is the period of the hoop? Question 1 options: A) 1.3 s B) 0.94 s C) 0.59 s D) 1.1 s E) 1.6 s Question 2 (2 points) Saved Listen Young's modulus of nylon is 3.7E9 N/m^2. A force of 6.0E5 N is applied to a 1.5-m length of nylon of cross sectional area 0.25 m^2. By what amount does the nylon stretch? Question 2 options: A) 3.1E–2 m B) 1.6E–2 m C) 3.9E–3 m D) 1.2E–5 m Question 3 (2 points) Saved Listen

In a certain clock, a pendulum of length L1 has a period T1 = 0.95 s. The length of the pendulum is adjusted to a new value L2 such that T2 = 1.0 s. What is the ratio L2/L1? Question 3 options: A) 0.90 B) 0.95 C) 1.0 D) 1.1 E) 1.3 Question 4 (2 points) Saved Listen A cable stretches by an amount d when it supports a crate of mass M. The cable is then cut into three equal pieces. If the same crate is supported by any one of these pieces, by how much will the cable stretch? Question 4 options: A) d B) d/3 C) d/6 D) 3d E) 9d Question 5 (2 points) Saved Listen A vertical block-spring system on earth has a period of 6.0 s. What is the period of this same system on the moon where the acceleration due to gravity is roughly 1/6 that of earth? Question 5 options:

A) 1.0 s B) 2.4 s C) 6.0 s D) 15 s E) 36 s TAKE 2 Question 1 (2 points) Saved Listen A thin, circular hoop with a radius of 0.32 m is hanging on a nail. Adam notices that the hoop is oscillating back and forth through small angles like a physical pendulum. The moment of inertia of the hoop for the rotational axis passing through the nail is I = 2mr^2. What is the period of the hoop? Question 1 options: A) 1.3 s B) 0.94 s C) 0.59 s D) 1.1 s E) 1.6 s Question 2 (2 points) Saved Listen The maximum compressional stress that a bone can withstand is 1.6E8 N/m^2 before it breaks. A thighbone (femur), which is the largest and longest bone in the human body, has a cross sectional area of 7.7E–4 m^2.

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What is the maximum compressional force that can be applied to the thighbone? Question 2 options: A) 2.1E11 N B) 1.2E5 N C) 4.8E12 N D) 3.0E3 N E) This cannot be determined since Young's modulus is not given. Question 3 (2 points) Saved Listen What is the period of a pendulum consisting of a 6-kg object oscillating on a 4-m string? Question 3 options: A) 0.25 s B) 0.50 s C) 1.0 s D) 2.0 s E) 4.0 s Question 4 (2 points) Saved Listen A cable stretches by an amount d when it supports a crate of mass M. The cable is replaced by another cable of the same material having the same length and twice the diameter. If the same crate is supported by the thicker cable, by how much will the cable stretch? Question 4 options: A) d/4 B) d/2

C) d D) 2d E) 4d Question 5 (2 points) Saved Listen A 2.2-kg object is suspended from a spring with k = 18 N/m. The mass is pulled 0.35 m downward from its equilibrium position and allowed to oscillate. What is the maximum kinetic energy of the object? Question 5 options: A) 0.25 J B) 0.50 J C) 1.1 J D) 2.0 J E) 4.0 J

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