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Chapter 4: Q26P (page 166)
A certain spring has stiffness 190N/m. 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 380N/m.
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A 3 kgblock measures5 cm by 10 cm by 20cm. When it slides on a 10cm by 20 cmface, it moves with constant speed when pulled horizontally by a force whose magnitude 3N is. How big a horizontal force must be applied to pull it with constant speed of it slides on a 5 cm by 20 cm face?
You hang a 10kg mass from a copper wire, and the wire stretches by 8mm. (a) If you suspend the same mass from two copper wires, identical to the original wire, what happens? (b) If you suspend the same mass from a copper wire with half the cross-sectional area but the same length as the original wire, what happens? (c) If you suspend the same mass from a copper wire with the same cross-sectional area but twice the length of the original wire, what happens?
If in a certain material whose atoms are in a cubic array the interatomic distance is and the mass of one atom is , what be the density of this material?
One mole of tungsten (atoms) has a mass of 184 g, as shown in the periodic table on the inside front cover of the textbook. The density of tungsten is. What is the approximate diameter of a tungsten atom (length of a bond) in a solid block of the material? Make the simplifying assumption that the atoms are arranged in a cubic array.
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?
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