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A playground carousel is free to rotate about its center on frictionless bearings. The carousel has an angular speed of 3.34 rad/s, a moment of inertia of 125 kg · m2, and a radius of 1.80 m. A 45.0-kg person, standing still next to the carousel, jumps onto it very close to the outer edge. Find the resulting angular speed of the carousel and person.
A cylinderical wooden log rolls (without slipping) down a small ramp. The log has a radius of 15 cm, a length of 2.0 m, and a mass of 78 kg. What is the log's total kinetic energy at the bottom of the ramp
What is the minimum uncertainty in the speed of an electron that is known to be somewhere between 0.065nm and 0.30nm from a proton
A 6.0 V battery is connected in series with a 29 mH inductor, a 110 ohm resistor, and an open switch. How much energy is stored in the inductor
Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.30 x 10^11 m apart. What is the mass of the smaller star
Sodium ions (Na+) move at 0.844 m/s through a bloodstream in the arm of a person standing near a large magnet. what would be the magnetic force on the arm
Two disks are mounted on frictionless bearings on the same axle and can be brought together so that they couple and rotate as one unit. what is the angular speed after coupling
A 1.9x10^14 Hz electromagnetic wave propagates in carbon tetrachloride with a speed of 2.05x10^8 m/s
a charge of 80 mC moves with a velocity of 7*10^7 m/s in a magnetic field of 0.6T which is oriented at an angle of 30 degrees above the horizontal plane
An airplane has a mass of 1.7x10^6kg and the air flows past the lower surface of the wings at 96 m/s. If the wings have a surface area of 1200m^2, how fast must the air flow over the upper surface of the wing if the plane is to stay in the air?
The period of the earth around the sun is 1 year and its distance is 150 million km from the sun. An asteroid in a circular orbit around the sun is at a distance 461 million km from the sun. What is the period of the asteroid’s orbit?
Consider an optical gain medium that has two levels at E 1=1.50 eV and E 2=3.50 eV. What is the resonant absorption wavelength
Draw a cube and Cartesian axes. All points of the cube lie in the (+,+,+) octant of the coordiante system. Determine the angle (in degrees) between the vectors OA and OC
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