Chapter 7: Problem 1
Why must the test charge \(q\) in the definition of the electric field be vanishingly small?
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These are the key concepts you need to understand to accurately answer the question.
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Chapter 7: Problem 1
Why must the test charge \(q\) in the definition of the electric field be vanishingly small?
These are the key concepts you need to understand to accurately answer the question.
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If two equal charges each of \(1 \mathrm{C}\) each are separated in air by a distance of \(1 \mathrm{~km}\), what is the magnitude of the force acting between them? You will see that even at a distance as large as \(1 \mathrm{~km}\), the repulsive force is substantial because \(1 \mathrm{C}\) is a very significant amount of charge.
A pogo stick has a spring with a force constant of \(2.50 \times 10^{4} \mathrm{N} / \mathrm{m},\) which can be compressed \(12.0 \mathrm{cm} .\) To what maximum height can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of \(40.0 \mathrm{kg}\) ? Explicitly show how you follow the steps in the Problem-Solving Strategies for Energy.
A car's bumper is designed to withstand a 4.0-km/h (1.1-m/s) collision with an immovable object without damage to the body of the car. The bumper cushions the shock by absorbing the force over a distance. Calculate the magnitude of the average force on a bumper that collapses \(0.200 \mathrm{m}\) while bringing a 900 -kg car to rest from an initial speed of 1.1 \(\mathrm{m} / \mathrm{s}\)
(a) Calculate the energy in kJ used by a 55.0 -kg woman who does 50 deep knee bends in which her center of mass is lowered and raised \(0.400 \mathrm{m}\). (She does work in both directions.) You may assume her efficiency is \(20 \%\). (b) What is the average power consumption rate in watts if she does this in 3.00 min?
(a) How high a hill can a car coast up (engine disengaged) if work done by friction is negligible and its initial speed is \(110 \mathrm{km} / \mathrm{h}\) ? (b) If, in actuality, a 750 -kg car with an initial speed of \(110 \mathrm{km} / \mathrm{h}\) is observed to coast up a hill to a height \(22.0 \mathrm{m}\) above its starting point, how much thermal energy was generated by friction? (c) What is the average force of friction if the hill has a slope \(2.5^{\circ}\) above the horizontal?
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