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Chapter 4: Problem 37
What force is necessary to stretch a spring \(48 \mathrm{cm},\) if its spring constant is \(270 \mathrm{N} / \mathrm{m} ?\)
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With its fuel tanks half full, an \(\mathrm{F}-35 \mathrm{A}\) jet fighter has mass \(18 \mathrm{Mg}\) and engine thrust \(191 \mathrm{kN}\). An Airbus \(\mathrm{A}-380\) has mass \(560 \mathrm{Mg}\) and total engine thrust \(1.5 \mathrm{MN}\). Could either aircraft climb vertically with no lift from its wings? If so, what vertical acceleration could it achieve?
"Jerk" is the rate of change of acceleration, and it's what can make you sick on an amusement park ride. In a particular ride, a car and passengers with total mass \(M\) are subject to a force given by \(F=F_{0} \sin \omega t,\) where \(F_{0}\) and \(\omega\) are constants. Find an expression for the maximum jerk.
A hockey stick is in contact with a \(165-\mathrm{g}\) puck for \(22.4 \mathrm{ms}\); during this time, the force on the puck is given approximately by \(F(t)=a+b t+c t^{2},\) where \(a=-25.0 \mathrm{N}, b=1.25 \times 10^{5} \mathrm{N} / \mathrm{s}\) and \(c=-5.58 \times 10^{6} \mathrm{N} / \mathrm{s}^{2} .\) Determine (a) the speed of the puck after it leaves the stick and (b) how far the puck travels while it's in contact with the stick.
A ball bounces off a wall with the same speed it had before it hit the wall. Has its momentum changed? Has a force acted on the ball? Has a force acted on the wall? Relate your answers to Newton's laws of motion.
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.
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