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Chapter 9: Q. 28 (page 228)
A kg student is standing atop a spring in an elevator as it accelerates upward at m/s2. The spring constant is N/m. By how much is the spring compressed?
The spring compressedcm
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A horizontal spring with spring constant N/m extends outward from a wall just above floor level. A kg box sliding across a frictionless floor hits the end of the spring and compresses it cm before the spring expands and shoots the box back out. How fast was the box going when it hit the spring?
When you ride a bicycle at constant speed, nearly all the energy you expend goes into the work you do against the drag force of the air. Model a cyclist as having cross-section area and, because the human body is not aerodynamically shaped, a drag coefficient of .
a. What is the cyclist鈥檚 power output while riding at a steady ?
b. Metabolic power is the rate at which your body 鈥渂urns鈥� fuel to power your activities. For many activities, your body is roughly efficient at converting the chemical energy of food into mechanical energy. What is the cyclist鈥檚 metabolic power while cycling at ?
c. The food calorie is equivalent to How many calories does the cyclist burn if he rides over level ground at?
FIGURE is the force-versus-position graph for a particle moving along the axis. Determine the work done on the particle during each of the three intervals m, m, and m.
Two identical horizontal springs are attached to opposite sides of a box that sits on a frictionless table. The outer ends of the springs are clamped while the springs are at their equilibrium lengths. Then a force applied to the box, parallel to the springs, compresses one spring by while stretching the other by the same amount. What is the spring constant of the springs?
How much energy is consumed by
(a) a kW hair dryer used for min and
(b) a W night light left on for h?
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