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Chapter 7: Q75P (page 176)
What is the power of the force required to move a4500kgelevator cab with a load of 1800 kgupward at constant speed 3.80 m/s?
The power of the force to move an 4500 kg elevator cab with a load of 1800 kg upward at a constant speed 3.80 m/s is 235 KW
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A father racing his son has half the kinetic energy of the son, who has half the mass of the father. The father speeds up by and then has the same kinetic energy as the son. What are the original speeds of (a) the father and (b) the son?
A fully loaded, slow-moving freight elevator has a cab with a total mass of1200 kg, which is required to travel upward 54 m in 3.0 min , starting and ending at rest. The elevator’s counterweight has a mass of only 950 kg, and so the elevator motor must help. What average power is required of the force the motor exerts on the cab via the cable?
(a) at a certain instant, a particle-like object is acted on by a force while the object’s velocity is . What is the instantaneous rate at which the force does work on the object?
(b) At some other time, the velocity consists of only a y component. If the force is unchanged and the instantaneous power is , what is the velocity of the object?
A cord is used to vertically lower an initially stationary block of mass M at a constant downward acceleration of .When the block has fallen a distance d , find
(a) the work done by the cord’s force on the block,
(b) the work done by the gravitational force on the block,
(c) the kinetic energy of the block, and
(d) the speed of the block.
A 0.30 kgladle sliding on a horizontal frictionless surface is attached to one end of a horizontal spring whose other end is fixed. The ladle has a kinetic energy of 10 J as it passes through its equilibrium position (the point at which the spring force is zero). (a) At what rate is the spring doing work on the ladle as the ladle passes through its equilibrium position? (b) At what rate is the spring doing work on the ladle when the spring is compressed 0.10 mand the ladle is moving away from the equilibrium position?
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