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Two astronauts, each having a mass of 78.3 kg, are connected by a 8.3 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.44 m/s.
By pulling the rope, the astronauts shorten the distance between them to 3.01 m. What is the new angular velocity of the astronauts? Answer in units of rad/s
Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. What is the mass of the star
A small airplane needs to reach a speed of 300 km/h to take off. What is the minimum length of a runway in m that can allow the plane to takeoff if it accelerates at the rate of 4.0 m/s2
Many communications satellites orbit the earth in geostationary orbits. (They appear to remain in the same positions in the sky for observers on the earth's surface.) If such a satellite orbits at a height of 40,000 km, estimation the time delay in a..
The membrane surrounding a living cell consists of an inner and anouter wall that are separated by a small space. Assume that themembrane acts like a parallel plate capacitor in which the effective charge density on the inner and outer walls has a..
consider a collection of three point charges. two equal charges q1 q2 3.0 nc are on the x-axis at the points x 4.0 cm
A particular heat engine has a useful power output of 4.90 kW and an efficiency of 27.0%. In each cycle, Find the time interval for each cycle
A beam of electrons is accelerated through a potential difference of 10 kV before entering a region having uniform electric and magnetic fields that are perpendicular to each other and perpendicular to the direction in which the electron is moving. I..
What is the Right Ascension, Declination, Hour Angle, and Zenith Angle of the Sun at noon on the vernal equinox, summer solstice, autumnal equinox, and winter solstice as measured at a latitude of 40
Two small metal spheres with masses 2.0 {rm g} and 4.0 {rm g} are tied together by a 5.3-{rm cm}-long massless string and are at rest on a frictionless surface. Each is charged to +2.3 mu C. What is the energy.
For your diffraction grating experiment, you need to compute the wavelength of light. Derive the expression for calculating the wavelength () in terms of y1bright. Given the ratio of d to D is 1:300 and also the angle 1 is 4°.
A spacecraft passes you traveling forward at 0.271 the speed of light. By what factor would its relativistic momentum increase
A u-tube with constant cross section is partly filled with water. Engine oil of density 0.8g/cm3 is poured into the right arm (without mixing) until the water level rises 2.0cm. The length of the oil column is then.
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