Chapter 5: Problem 4
In cross-country skiing, skis should easily glide forward but should remain at rest when the skier pushes back against the snow. What frictional properties should the ski wax have to achieve this goal?
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Chapter 5: Problem 4
In cross-country skiing, skis should easily glide forward but should remain at rest when the skier pushes back against the snow. What frictional properties should the ski wax have to achieve this goal?
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A block is launched with speed \(v_{0}\) up a slope making an angle \(\theta\) with the horizontal; the coefficient of kinetic friction is \(\mu_{\mathrm{k}}\) (a) Find an expression for the distance \(d\) the block travels along the slope. (b) Use calculus to determine the angle that minimizes \(d\).
A 2.1 -kg mass is connected to a spring with spring constant \(k=150 \mathrm{N} / \mathrm{m}\) and unstretched length \(18 \mathrm{cm} .\) The two are mounted on a frictionless air table, with the free end of the spring attached to a frictionless pivot. The mass is set into circular motion at \(1.4 \mathrm{m} / \mathrm{s} .\) Find the radius of its path.
At the end of a factory production line, boxes start from rest and slide down a \(30^{\circ}\) ramp 5.4 m long. If the slide can take no more than \(3.3 \mathrm{s}\), what's the maximum allowed frictional coefficient?
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.
A police officer investigating an accident estimates that a moving car hit a stationary car at \(25 \mathrm{km} / \mathrm{h}\). Before the collision, the car left 47 -m-long skid marks as it braked. The officer determines that the coefficient of kinetic friction was \(0.71 .\) What was the initial speed of the moving car?
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