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Chapter 4: Problem 16
A small plane accelerates down the runway at \(7.2 \mathrm{m} / \mathrm{s}^{2} .\) If its propeller provides an \(11-\mathrm{kN}\) force, what's the plane's mass?
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"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 \(2.50-\mathrm{kg}\) object is moving along the \(x\) -axis at \(1.60 \mathrm{m} / \mathrm{s} .\) As it passes the origin, two forces \(\vec{F}_{1}\) and \(\vec{F}_{2}\) are applied, both in the \(y\) -direction (plus or minus). The forces are applied for \(3.00 \mathrm{s}\), after which the object is at \(x=4.80 \mathrm{m}, y=10.8 \mathrm{m} .\) If \(\vec{F}_{1}=15.0 \mathrm{N}\) what's \(\vec{F}_{2} ?\)
A subway train's mass is \(1.5 \times 10^{6} \mathrm{kg} .\) What force is required to accelerate the train at \(2.5 \mathrm{m} / \mathrm{s}^{2} ?\)
A driver tells passengers to buckle their seatbelts, invoking the law of inertia. What's that got to do with seatbelts?
Show that the units of acceleration can be written as N/kg. Why does it make sense to give \(g\) as \(9.8 \mathrm{N} / \mathrm{kg}\) when talking about mass and weight?
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