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Chapter 4: 9CP (page 156)

A certain metal with atomic mass 2 × 10-25 kg has an interatomic bond with length 2.1 × 10-10 m and stiffness 40 N/m. What is the speed of sound in a rod made of this metal?

Short Answer

Expert verified

V=3500m/s

Step by step solution

01

Given Information

Atomic mass =2×10-25kg

Length= 2.1×10-10m

Stiffness=40N/m

02

Formula speed of sound in a rod

Where,

d=length

ks= stiffness

m=mass

03

calculation of speed of sound in a rod

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Most popular questions from this chapter

In outer space, a rod is pushed to the right by a constant force F (Figure 4.54). Describe the pattern of interatomic distances along the rod. Include a specific comparison of the situation at locations A, B, and C. Explain briefly in terms of fundamental principles.

Figure 4.54

Hint: Consider the motion of an individual atom inside the rod, and various locations along the rod.

(b) After the rod in part (a) reaches a speed v, the object that had been exerting the force on the rod is removed. Describe the subsequent motion of the rod and the pattern of interatomic distances inside the rod. Include a specific comparison of the situation at locations A, B, and C. Explain briefly.

An object of mass m is attached by two stretched springs (stiffnessKs and relaxed lengthL0 ) to rigid walls, as shown in figure 4.60. The springs are initially stretched by an amount (L-L0). When the object is displaced to the right and released, it oscillates horizontally. Starting from the momentum principle, find a function of the displacement xof the object and the timet describes the oscillatory motion.

(a) What is the period of the motion?

(b) If L0 were shorter (so the springs are initially stretched more), would the period be larger, smaller, or the same?

A ball whose mass is1.4kg suspended from a spring whose stiffness is 4N/m. The ball oscillates up and down with an amplitude of 14cm. (a) What is the angular frequencyrole="math" localid="1657731610160" ω? (b) What is the frequency? (c) What is the period? (d) Suppose this apparatus were taken to the moon, where the strength of the gravitational field is onlyrole="math" localid="1657731589019" 1/6ofthatearth . What would be the period of the Moon? (Consider carefully how the period depends on properties of the system, look at the equation.)

A block of one mole of a certain material whose atoms are in a cubic array has dimensions of 5 cm by 4 cmby0.5 cm. What is the interatomic distance?

Here are two examples of floating objects: (a) A block of wood 20 cm long by 10 cm wide by 6 cm high has a density of 0.7 g/cm3 and floats in water (whose density is 1.0 g/cm3). How far below the surface of water is the bottom of the block. Explain your reasoning?
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