Chapter 4: Problem 4
Why does a ceiling fan continue to rotate even after you have switched it off?
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
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Chapter 4: Problem 4
Why does a ceiling fan continue to rotate even after you have switched it off?
These are the key concepts you need to understand to accurately answer the question.
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What is the direction of momentum of a moving body? Does it depend on the speed of the body?
Although we usually write Newton's second law for one-dimensional motion in the form \(F=m a\), which holds when mass is constant, a more fundamental version is \(F=\frac{d(m v)}{d t} .\) Consider an object whose mass is changing, and use the product rule for derivatives to show that Newton's law then takes the form \(F=m a+v \frac{d m}{d t}\).
A mass \(M\) hangs from a uniform rope of length \(L\) and mass \(m\). Find an expression for the rope tension as a function of the distance \(y\) measured downward from the top of the rope.
A 2100-kg airplane pulls two gliders, the first of mass \(340 \mathrm{~kg}\) and the second of mass \(280 \mathrm{~kg}\), down the runway with acceleration \(1.7 \mathrm{~m} / \mathrm{s}^{2}\) (Fig. 4.22). Neglecting the mass of the two ropes and any frictional forces, determine the magnitudes of (a) the horizontal thrust of the plane's propeller, (b) the tension force in the first rope, (c) the tension force in the second rope, and (d) the net force on the first glider.
A biologist is studying the growth of rats on the Space Station. To determine a rat's mass, she puts it in a \(320-g\) cage, attaches a spring scale, and pulls so that the scale reads \(0.46 \mathrm{~N}\). If rat and cage accelerate at \(0.40 \mathrm{~m} / \mathrm{s}^{2}\), what's the rat's mass?
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