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Chapter 4: Q28P (page 166)
A certain spring has stiffness. The spring is then cut into two equal lengths. What is the stiffness of one of these half-length springs?
The value of stiffness is.
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Two blocks of mass m1 and m3 , connected by a rod of mass m2 , are sitting on a low friction surface, and you push to the left on the right block (mass m1 ) with a constant force of magnitude F(Figure 4.57).
(a) What is the acceleration of the blocks?
(b) What is the vector force exerted by the rod on the block of mass m3 ? ( is approximately equal to the compression force in the rod near its left end.)What is the vector forceexerted by the rod on the block of massm1? is approximately equal to the compression force in the rod near its right end.)
(c) Suppose that instead of pushing on the right block (mass m1 ), you pull to the left on the left block (mass m3) with a constant force of magnitude F . Draw a diagram illustrating this situation. Now what is the vector force exerted by the rod on the block of mass m3?
Two metal rods are made of different elements. The interatomic spring stiffness of element A is three times larger than the interatomic spring stiffness for element B. The mass of an atom of element A is three times greater than the mass of an atom of element B. The atomic diameters are approximately the same for A and B. What is the ratio of the speed of sound in rod A to the speed of sound in rod B?
A vertical mass-spring oscillator has an amplitude of and a period of . (a) What is the maximum speed of the mass? (b) What is the maximum acceleration of the mass?
One mole of Nickel has a mass of , and its density is . You have a bar of nickel 2.5 m long, with a cross-section of 2mm on a side. You hang the rod vertically and attach a 40 kg mass to the bottom, and you observe that the bar becomes 1.2 mm longer. Next, you remove the 40 kg mass, place the rod horizontally, and strike one end with a hammer. How much time will elapse before a microphone at the other end of the bar will detect a disturbance?
The diameter of a copper atom is approximately. The mass of one mole of copper is 64g. Assume that the atoms are arranged in a simple cubic array. Remember to convert to SI units. (a) What is the mass of one copper atom, in kg? (b) How many copper atoms are there in a cubical block of copper that is 4.6 cmon each side? (c) What is the mass of the cubical block of copper, in kg?
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