Lead is much softer than aluminum, and can be more easily deformed or pulled into a wire. What difference between the two materials best explains this? (a) Pb and Al atoms have different sizes. (b) Pb and Al atoms have different masses. (c) The stiffness of the interatomic bonds is different in Pb and Al.
The reason for lead being softer than aluminum is that the stiffness of the interatomic bonds is different in Pb and Al.
Lead is much softer than aluminum, and can be more easily deformed or pulled into a wire.
A malleable material is one that can easily be formed into a thin sheet by hammering or rolling. In other words, the material has the ability to deform under compressive stress.
Malleability depends on interatomic bonds.
Stiffness means how long and easily a metal can take any shape by applying some force or pressure on it.
Stiffness generally depends on the following parameters:
Since lead has lower interatomic bond strength than aluminum, it is more malleable and thus can get more easily deformed.
Hence, option (c), the stiffness of the interatomic bonds is different in Pb and Al, is the correct answer.
Suppose you attempt to pick up a very heavy object. Before you tried to pick it up, the object was sitting still its momentum was not changing. You pull very hard, but do not succeed in moving the object. Is this a violation of the momentum Principle? How can you be exerting a large force on the object without causing a change in its momentum? What does change when you apply this force?
Steel is very stiff, and Young’s modulus for steel is unusually large, . A cube of steel 28 cm on a side supports a load of 85 kg that has the same horizontal cross section as the steel cube. (a) What is the magnitude of the normal force that the steel cube exerts on the load? (b) What is the compression of the steel cube? That is, what is the small change in height of the steel cube due to the load it supports? Give your answer as a positive number. The compression of a wide, stiff support can be extremely small.
An object of mass is attached by two stretched springs (stiffness and relaxed length ) to rigid walls, as shown in figure 4.60. The springs are initially stretched by an amount . When the object is displaced to the right and released, it oscillates horizontally. Starting from the momentum principle, find a function of the displacement of the object and the time describes the oscillatory motion.
(a) What is the period of the motion?
(b) If were shorter (so the springs are initially stretched more), would the period be larger, smaller, or the same?
A box with initial speed slides across the floor and comes to a stop after (a) what is the coefficient of kinetic friction? (b) How far does the box move? (c) You put a block in the box, so the total mass is now , and you launch this heavier box with an initial speed of . How long does it take to stop?
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