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Chapter 9: 9.Q. 14 (page 227)
The motor of a crane uses power P to lift a steel beam. By what factor must the motor’s power increase to lift the beam twice as high in half the time?
Power becomes 4P , that is four times.
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Particle A has half the mass and eight times the kinetic energy of particle B. What is the speed ratio vA/vB?
The cable of a crane is lifting a kg girder. The girder increases its speed from m/s to m/s in a distance of m.
a. How much work is done by gravity?
b. How much work is done by tension?
Justin, with a mass of kg, is going down an -m-high water slide. He starts at rest, and his speed at the bottom is m/s. How much thermal energy is created by friction during his descent?
A particle moving on the axis experiences a force given by , where is a constant. How much work is done on the particle as it moves from to ?
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?
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