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Chapter 4: Q25P (page 166)
If a chain of 50identical short springs linked end to end has a stiffness of 270N/m, what is the stiffness of one short spring?
The stiffness of the one short spring is .
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Steel is very stiff, and Young鈥檚 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.
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?
A chain of length L, and mass M is suspended vertically by one end with the bottom end just above a table. The chain is released and falls, and the links do not rebound off the table, but they spread out so that the top link falls very nearly the full distance L. Just before the instant when the entire chain has fallen onto the table, how much force does the table exert on the chain? Assume that the chain links have negligible interaction with each other as the chain drops, and make the approximation that there is very large number of links. Hint: Consider the instantaneous rate of change momentum of the chain as the last link hits the table.
In a spring-mass oscillator, when is the magnitude of momentum of the mass largest: when the magnitude of the net force acting on the mass is largest, or when the magnitude of the net force acting on the mass is smallest?
A spring has stiffness ks. You cut the spring in half. What is the stiffness of the half-spring?
(a) 2ks,
(b) ks,
(c) ks/2
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