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Chapter 8: Q.16 (page 199)
A moon orbits a distant planet in a circular orbit of radius . It experiences a gravitational pull from the planet. What is the moon鈥檚 orbital period in earth days?
The moon's orbital period in earth days is days
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Suppose you swing a ball of mass m in a vertical circle on a string of length L. As you probably know from experience, there is a minimum angular velocity 蝇min you must maintain if you want the ball to complete the full circle without the string going slack at the top.
a. Find an expression for 蝇min
b. Evaluate蝇minin rpm for a 65 g ball tied to a 1.0-m-long string.
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 tension in the string when the ball is at the very bottom of the circle is 5.0 N. A
very sharp knife is suddenly inserted, as shown in FIGURE P8.56,to cut the string directly below the point of support. How far to the right of where the string was cut does the ball hit the floor?
A jet plane is flying on a level course at constant speed. The engines are at full throttle.
a. What is the net force on the plane? Explain.
b. Draw a free-body diagram of the plane as seen from the side with the plane flying to the right. Name (don鈥檛 just label) any and all forces shown on your diagram.
c. Airplanes bank when they turn. Draw a free-body diagram of the plane as seen from behind as it makes a right turn.
d. Why do planes bank as they turn? Explain.
You鈥檝e taken your neighbor鈥檚 young child to the carnival to ride the rides. She wants to ride The Rocket. Eight rocket-shaped cars hang by chains from the outside edge of a large steel disk. A vertical axle through the center of the ride turns the disk, causing the cars to revolve in a circle. You鈥檝e just finished taking physics, so you decide to figure out the speed of the cars while you wait. You estimate that the disk is in diameter and the chains are long. The ride takes to reach full speed, then the cars swing out until the chains are from vertical. What is the cars鈥� speed?
Three cars are driving atalong the road shown in FIGURE EX8.30. Car B is at the bottom of a hill and car C is at the top. Both hills have a m radius of curvature. Suppose each car suddenly brakes hard and starts to skid. What is the tangential acceleration (i.e., the acceleration parallel to the road) of each car? Assume localid="1647757037587" .
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