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A merry-go-round (I= 500 kg m^2) of radius R = 2 meters is rotating about a frictionless pivot, making one revolution every 5 seconds. A child of mass 25 kg originally standing at the center walks out to the rim. The child has a moment of interia, I = mr^2 when at a distance r from the center. Assume the system to be the child and the merry-go-round.
Find the new angular speed of the merry-go-round.
The two stick together and move off with a speed of 4.0 m/s. Evaluate what is the mass of the second car?
A racecar starts from rest and accelerates to 100 km/hr halfway around a circular track of a radius 50 m. What is the magnitude of the acceleration of the car
Sound is coming through an open window whose dimensions are 1.1 m x 0.75 m. How much sound energy comes through the window in one hour
The mass of a roller-coaster car, including its passengers, is 495kg. Its speed at the bottom of the track in the figure below is 17.00 m/s. The radius of this section of track is r1 = 26 m. Find the force that a seat in the roller-coaster car exerts..
Two equally charged insulating balls each weigh 0.14 g and hang from a common point by identical threads 30 cm long. The balls repel each other so that the separation between their centers is 6.4 cm. What is the magnitude of the charge on each bal..
An electron of mass 9.1E-31 kg is released from rest at a distance of 7.1 E-10 m from a fixed electron. Find the maximum velocity (in meters/second) of the moving electron after release
An electron is at the origin. (a) Calculate the electric potential VA at point A, x = 0.160 cm. V (b) Calculate the electric potential VB at point B, x = 0.170 cm. V What is the potential difference VB - VA? V
A 14.8cm diameter loop of wire is initially oriented perpendicular to a 1.3T magnetic field, What is the average induced emf in the loop
What types of lifestyle changes will be brought about by living in a house whose space heating and hot water needs are supplied almost completely by the sun.
A gasoline engine absorbs 2,600 J of heat and performs 1,000 J of mechanical work in each cycle. Find the total of heat expelled in each cycle.
A spaceship of proper length 306 m takes 0.70 µs to pass an Earth observer. find the speed of this spaceship as measured by the Earth observer.
Balls B and C are identical and have the mass of 0.50 kg. After the collision, balls B and C have the similar speed, 4.2 m/s, but ball B moves at an angle of 22 above the horizontal and ball C moves at an angle of 22 below the horizontal. What is ..
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