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Q. A particular Ferris wheel has a radius of 24 meters, and it makes one complete revolution around its axle (at location A) in 20 seconds. In all of the following questions, consider location A (at the center of the axle) as the location around which we will calculate the angular momentum. At the instant, a child of mass 39 kg, sitting at location F, is traveling with velocity < -7.5, 0, 0> m/s.
Q. A 100 g ball on a 60 cm long string is swung in a vertical circle whose center is 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?
A proton is initially at rest at a point where the potential is 459 V. Sometime later the proton is at a point where the potential is 218 V. If no force other than an electrostatic force acts on the proton, what is its final kinetic energy.
How many revolutions per minute would a 29 {rm m}-diameter Ferris wheel require to make for the passengers to feel "weightless" at topmost point.
A light source, S, is located 2.60m below the surface of a swimming pool and 1.30m from one edge of the pool. The pool is filled to the top with water.
A 100g wire is held under a tension of 250N with one end at x = 0 and other x = 10m. At time t = 0, pulse 1 is sent along the wire from the end at x = 10 m. At time t = 30 ms, pulse 2 is sent along the wire from the x = 0. At what position x do the..
A race car has a mass of 718 kg. It starts from rest and travels 45.0 m in 3.0 s. The car is uniformly accelerated throughout the entire time. What net force is exerted on it.
What is the maximum speed with which a 1350kg car can round a turn of radius 71m on a flat road if coefficient of static friction between tires and road is 0.40.
A gymnast of mass 69.0 kg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81 for the acceleration of gravity.
A horse is capable of moving at four different speeds: walk (1.9 m/s), trot (5.0 m/s), canter (7.0 m/s), and gallop (12 m/s). Ann is learning how to ride a horse. She spends 15 minutes riding at a walk and 1.8 minutes at each other speed.
What is instantaneous acceleration
A professor's office door is 0.9 wide, 2.0 high, and 4 thick; has a mass of 25; and pivots on frictionless hinges. A "door closer" is attached to door and top of the door frame.
An underwater diver sees the sun 58{rm ^circ} above horizontal. How high is the sun above the horizon to a fisherman in the boat above the diver.
A conveyor belt at a quarry lifts 2,000 kg of sand per minute up a vertical distance of 12 meters. The sand is originally at rest, then moves at a speed of 0.20 m/s all along the conveyor belt. What is the instantaneous power produced by this machine..
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