Chapter 7: Problem 9
If conservation of energy is a law of nature, why do we have programs- -like mileage requirements for cars or insulation stan- -dards for buildings- -designed to encourage energy conservation?
Chapter 7: Problem 9
If conservation of energy is a law of nature, why do we have programs- -like mileage requirements for cars or insulation stan- -dards for buildings- -designed to encourage energy conservation?
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Get started for freeIf the difference in potential energy between two points is zero, does that necessarily mean that an object moving between those points experiences no force?
For small stretches, the Achilles tendon can be modeled as an ideal spring. Experiments using a particular tendon showed that it stretched \(2.66 \mathrm{mm}\) when a \(125-\mathrm{kg}\) mass was hung from it. (a) Find the spring constant of this tendon. (b) How much would it have to stretch to store \(50.0 \mathrm{J}\) of energy?
A particle of mass \(m\) is subject to a force \(\vec{F}=(a \sqrt{x}) \hat{\imath},\) where \(a\) is a constant. The particle is initially at rest at the origin and is given a slight nudge in the positive \(x\) -direction. Find an expression for its speed as a function of position \(x\)
Can potential energy be negative? Can kinetic energy? Can total mechanical energy? Explain.
A skier starts down a frictionless \(32^{\circ}\) slope. After a vertical drop of \(25 \mathrm{m},\) the slope temporarily levels out and then slopes down at \(20^{\circ},\) dropping an additional 38 m vertically before leveling out again. Find the skier's speed on the two level stretches.
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