Irina Lyublinskaya, Gregg Wolfe, Douglas Ingram , Liza Pujji
ISBN #9781938168932
2,282 Questions
Homework Questions
Hooke’s law establishes a simple yet powerful relationship between the restoring force in an elastic material and its displacement from equilibrium. Expressed as F = –kx, this law enables the calculation of forces in oscillatory systems and the energy stored during deformation (PE?? = ½ k x²). Whether in car suspensions, toys, or measuring devices, mastering these concepts is essential for predicting system behavior, designing efficient oscillatory systems, and understanding energy transfer and dissipation.
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Fish are hung on a spring scale to determine their mass (most fishermen feel no obligation to truthfully report the mass). (a) What is the force constant of the spring in such a scale if it the spring stretches 8.00 $\mathrm{cm}$ for a 10.0 kg load? (b) What is the mass of a fish that stretches the spring 5.50 $\mathrm{cm} ?$ (c) How far apart are the half-kilogram marks on the scale?
It is weigh-in time for the local under- - 85 -kg rugby team. The bathroom scale used to assess eligibility can be described by Hooke's law and is depressed 0.75 $\mathrm{cm}$ by its maximum load of 120 $\mathrm{kg}$ . (a) What is the spring's effective spring constant? (b) A player stands on the scales and depresses it by 0.48 $\mathrm{cm} .$ Is he eligible to play on this under-85 kg team?
One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (a) Calculate the force constant of its plunger's spring if you must compress it 0.150 $\mathrm{m}$ to drive the $0.0500-\mathrm{kg}$ plunger to a top speed of 20.0 $\mathrm{m} / \mathrm{s}$ . (b) What force must be exerted to compress the spring?
(a) The springs of a pickup truck act like a single spring with a force constant of $1.30 \times 10^{5} \mathrm{N} / \mathrm{m}$ . By how much will the truck be depressed by its maximum load of 1000 $\mathrm{kg}$ ? (b) If the pickup truck has four identical springs, what is the force constant of each?
When an 80.0 -kg man stands on a pogo stick, the spring is compressed 0.120 $\mathrm{m} .$