Chapter 5: Problem 8
Explain why a car with ABS brakes can have a shorter stopping distance.
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Chapter 5: Problem 8
Explain why a car with ABS brakes can have a shorter stopping distance.
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Two unfortunate climbers, roped together, are sliding freely down an icy mountainside. The upper climber (mass \(75 \mathrm{kg}\) ) is on a slope at \(12^{\circ}\) to the horizontal, but the lower climber (mass \(63 \mathrm{kg}\) ) has gone over the edge to a steeper slope at \(38^{\circ} .\) (a) Assuming frictionless ice and a massless rope, what's the acceleration of the pair? (b) The upper climber manages to stop the slide with an ice ax. After the climbers have come to a complete stop, what force must the ax exert against the ice?
Two forces act on a 3.1 -kg mass that undergoes acceleration \(\vec{a}=0.91 \hat{\imath}-0.27 \hat{\jmath} \mathrm{m} / \mathrm{s}^{2} .\) If one force is \(-1.2 \hat{\imath}-2.5 \hat{\jmath} \mathrm{N},\) what's the other?
Two blocks rest on slopes of unequal angles, connected by a rope passing over a pulley (Fig. 5.30). If the blocks have equal masses, will they remain at rest? Why? Neglect friction.
You're investigating a subway accident in which a train derailed while rounding an unbanked curve of radius \(150 \mathrm{m},\) and you're asked to estimate whether the train exceeded the \(35-\mathrm{km} / \mathrm{h}\) speed limit for this curve. You interview a passenger who had been standing and holding onto a strap; she noticed that an unused strap was hanging at about a \(15^{\circ}\) angle to the vertical just before the accident. What do you conclude?
A skier starts from rest at the top of a \(24^{\circ}\) slope \(1.3 \mathrm{km}\) long. Neglecting friction, how long does it take to reach the bottom?
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