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Chapter 4: Problem 38
A \(35-\mathrm{N}\) force is applied to a spring with spring constant \(k=220 \mathrm{N} / \mathrm{m} .\) How much does the spring stretch?
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Two large crates, with masses \(640 \mathrm{kg}\) and \(490 \mathrm{kg}\), are connected by a stiff, massless spring \((k=8.1 \mathrm{kN} / \mathrm{m})\) and propelled along an essentially frictionless factory floor by a horizontal force applied to the more massive crate. If the spring compresses \(5.1 \mathrm{cm}\) what's the applied force?
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.
What force is necessary to stretch a spring \(48 \mathrm{cm},\) if its spring constant is \(270 \mathrm{N} / \mathrm{m} ?\)
A subway train's mass is \(1.5 \times 10^{6} \mathrm{kg} .\) What force is required to accelerate the train at \(2.5 \mathrm{m} / \mathrm{s}^{2} ?\)
What force do the blades of a \(4300-\mathrm{kg}\) helicopter exert on the air when the helicopter is (a) hovering at constant altitude; (b) dropping at \(21 \mathrm{m} / \mathrm{s}\) with speed decreasing at \(3.2 \mathrm{m} / \mathrm{s}^{2} ;\) (c) rising at \(17 \mathrm{m} / \mathrm{s}\) with speed increasing at \(3.2 \mathrm{m} / \mathrm{s}^{2} ;\) (d) rising at a steady \(15 \mathrm{m} / \mathrm{s} ;\) (e) rising at \(15 \mathrm{m} / \mathrm{s}\) with speed decreasing at \(3.2 \mathrm{m} / \mathrm{s}^{2} ?\)
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