## Physics for the Life

Physics & Astronomy

## Quiz 13 :

Elasticity and Vibrations

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Q38 Q38 Q38

During a fast chase, at a speed of 60 km/h, a horse falls and hits a railing with its front leg cannon bone. The circumference of the bone is 23 cm. The horse comes to rest in 2.0 m. If that part of the leg has an effective mass of 5.0 kg, and bone withstands a maximum compressional stress of 1.6 × 10

^{8}Pa, will the bone break?Free

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Q39 Q39 Q39

A Blue Elgiloy wire with a Young's modulus of Y = 1.6 × 10

^{11}Pa is used to press a tooth for correction of position. The wire is 3 cm long, has a diameter of 0.2 mm, bends under an angle of 140° where it presses the tooth, and stretches by 0.08 mm. What is the force exerted on the tooth? Assume that that tooth width is negligible so that the wire bends making an angle 140°.Free

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Q40 Q40 Q40

A horse with a mass of 520 kg has a front leg cannon bone that is 38 cm long. The bone has a circumference of 23 cm. The two front legs support 65% of the horse's weight. If the Young's modulus of a bone is 1.5 × 10

^{10}Pa, what is the compression of the bone due to the horse's weight?Free

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Q41 Q41 Q41

Figure 13.2 Stress-strain relation for compact bone. The graph includes both tensile stress (the bone is stretched) and compressive stress (the bone is compressed).
-Fig. 13.2 shows the stress-strain curve for compact bone. In addition to the coordinate system origin (0,0), the graph includes four points, (i) to (iv), along the curve. Describe the response of the compact bone in each interval, that is, whether it is elastic or not fully elastic.

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Q44 Q44 Q44

Figure 13.3 The figure shows a relaxed spring and a body sliding down an incline.
-See Fig. 13.3. A crate of a mass 0.5 kg slides down a 30° incline and compresses a spring having a spring constant k = 150 N/m by 20 cm, coming to a stop. What is the length of the sliding path of the crate along the incline?

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Q48 Q48 Q48

The total energy of a water molecule in the ground state is 9.2 × 10

^{-20}J. Find the amplitude and maximal velocity of vibration of a hydrogen atom. Compare the amplitude to the length of the O-H bond (9.6 × 10^{-11}m). The mass of a hydrogen atom is m = 1.67 × 10^{-27}kg. The spring constant for the H-O bond is k = 780 N/m.Free

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Q49 Q49 Q49

Figure 13.4
The amplitude as a function of driving frequency for three oscillators.
-Figure 13.4 shows the response of three oscillators to a driving frequency. The amplitudes are plotted as a function of frequency. If each of these three oscillators is started and then left as a free oscillator, discuss which will oscillate longest, which shortest, and why?

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