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Chapter 8: Q.28 (page 199)
A new car is tested on a -diameter track. If the car speeds up at a steady , how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?
The magnitude of its centripetal acceleration equal to the tangential acceleration after.
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The father of Example 8.2 stands at the summit of a conical hill as he spins his 20 kg child around on a 5.0 kg cart with a 2.0-m-long rope. The sides of the hill are inclined at 20o颅. He
again keeps the rope parallel to the ground, and friction is negligible. What rope tension will allow the cart to spin with the same 14 rpm it had in the example?
The weight of passengers on a roller coaster increases by as the car goes through a dip with a radius of curvature. What is the car鈥檚 speed at the bottom of the dip?
While at the county fair, you decide to ride the Ferris wheel. Having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. To take your mind off your stomach, you wonder about the motion of the ride. You estimate the radius of the big wheel to be , and you use your watch to find that each loop around takes .
a. What are your speed and the magnitude of your acceleration?
b. What is the ratio of your weight at the top of the ride to your weight while standing on the ground?
c. What is the ratio of your weight at the bottom of the ride to your weight while standing on the ground?
A 100 g ball on a 60-cm-long string is swung in a vertical circle about a point 200 cm above the floor. The string suddenly breaks when it is parallel to the ground and the ball is moving
upward. The ball reaches a height 600 cm above the floor. What was the tension in the string an instant before it broke?
An kg stunt plane performs a loop-the-loop, flying in a m-diameter vertical circle. At the point where the plane is flying straight down, its speed is and it is speeding up at a rate of per second.
a. What is the magnitude of the net force on the plane? You can neglect air resistance.
b. What angle does the net force make with the horizontal? Let an angle above horizontal be positive and an angle below horizontal be negative.
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