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Chapter 7: Q.47 (page 180)
A -diameter, beach ball is dropped with a ant riding on the top. The ball experiences air resistance, but the ant does not. What is the magnitude of the normal force exerted on the ant when the ball鈥檚 speed is ?
The normal force exerted on the ant is
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Block in is sliding down the incline. The rope is massless, and the massless pulley turns on frictionless bearings, but the surface is not frictionless. The rope and the pulley are among the interacting objects, but you鈥檒l have to decide if they鈥檙e part of the system.
The century-old ascensores in Valparaiso, Chile, are picturesque cable cars built on stilts to keep the passenger compartments level as they go up and down the steep hillsides. As FIGURE Pshows, one car ascends as the other descends. The cars use a two-cable arrangement to compensate for friction; one cable passing around a large pulley connects the cars, the second is pulled by a small motor. Suppose the mass of both cars (with passengers) is , the coefficient of rolling friction is , and the cars move at constant speed. What is the tension in (a) the connecting cable and (b) the cable to the motor?
The block of massM inFIGURE slides on a frictionless surface. Find an expression for the tension in the string
Teams red and blue are having a tug-of-war. According to Newton鈥檚 third law, the force with which the red team pulls on the blue team exactly equals the force with which the blue team pulls on the red team. How can one team ever win? Explain
Your forehead can withstand a force of about before fracturing, while your cheekbone can withstand only about . Suppose a baseball traveling at strikes your head and stops in
a. What is the magnitude of the force that stops the baseball?
b. What force does the baseball exert on your head? Explain.
c. Are you in danger of a fracture if the ball hits you in the forehead? On the cheek?
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