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Two astronauts of equal mass 76 kg are holding on to opposite ends of a straight rope in space. The length of the rope between them is 18 meters. They are rotating about an axis that passes through the center of mass midway between the two astronauts with angular velocity 0.8 radian/sec. One of the astronauts pulls on the rope, decreasing the distance separating them to 18/2 meters. (In the following, take the rope to be massless.) What is the new angular velocity of the two astronauts? How much work did the astronaut who pulled on the rope do?
A rectangular loop is made up of 50 turns of wire and has dimensions of 23 x 64 cm. It is located in a uniform 1 T magnetic field. Over a time of 1.2 s, Calculate the average emf induced in the coil
The Earth is about to be swallowed by a black hole with the mass equal to ten Solar masses. At what distance from the black hole will the Earth be pulled apart by tidal forces - i.e. find the Roche limit for this system.
Consider a cylinder of Volume V=10cm^3 that contains an ideal gas. Compute the total number of gas molecules inside the cylinder
what will be observed on the screen? a fuzzy image is visible no image is visible on the screen a clear image slightly smaller than the original image is visible a clear image slightly larger than the original image is visible.
A 140g oscillator has a speed of 90.5cm/s when its displacement is 1.70cm and 55.0cm/s when its displacement is 5.20cmcm. What is the oscillators maximum speed
An airtight box has a removable lid of area 1.00 10-2 m2 and negligible weight. The box is taken up a mountain where the air pressure outside the box is 7.00 104 Pa. The inside of the box is completely displaced. What is the magnitude of the force es..
A centrifuge is a device in which a small container of material is rotated at a high speed on a circular path. How many revolutions per minute is the sample making
A commuter airplane starts from an airport and takes the route shown in the figure below. The plane first flies to city A located 175 km away in a direction 30.0° north of east. Find the angle in degrees west of north
A water hose of internal diameter 12.5 mm is used to fill a bucket. It is noted that 8L of fresh water (about 2 gallons) is collected in 1 minute. what is the rate of flow expressed as m^3/sec
The Voyager I spacecraft moves through interstellar space with a speed of 7400m/s. Assuming that the 5.6-m long antenna on the spacecraft is at right angles to the magnetic field, find the induced emf between its ends
If the relativistic kinetic energy of a particle is 9 times its rest energy, at what fraction of the speed of light must the particle be travelling
Light of 546 nm wavelength is incident on a cesium surface that has a work function of 1.91 eV. find the threshold wavelength
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