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In a deep space, a ring of static massive dust of radius R=6000 km and mass M = 1024 kg, has a uniform density ρ and zero velocity. Assume the ring is fixed in space. A broken spaceship of mass m = 2 x106 kg is released from rest on the axis of the ring at a distance x=100000 km from the plane of the ring.
a) With what speed does the spaceship pass through the center of the ring?
b) After some time the space ship will begin to oscillate, in and out of the ring, with a small amplitude of oscillation. What is the frequency of this oscillation?
The spring shown is compressed 50 cm and used to launch a 100-kg physics student. The track is frictionless until it starts up the incline. How far up the incline does the student go
A thunderstorm drops 6.0cm of rain on a city that covers an area of 33 km by 45 km. approximation the number of raindrops that fell during the storm. You could assume the diameter of a raindrop is 2 mm.
A student is reading a lecture written on a blackboard. The lenses in her eyes have a refractive power of 56.11 diopters, and the lens-to-retina distance is 1.791 cm. (a) How far is the blackboard from her eyes? (b) If the writing on the blackboard i..
A .363kg mass slides on a frictionless floor with a speed of 1.24m/s. The mass strikes and compresses a spring with a force constantof 44.5 N/m. how long does it take for the spring to stop the mass
You and your friend Peter are putting new shingles on a roof pitched at 25?. If the coefficient of kinetic friction between the box and the roof is 0.51, with what speed should you push the box to have it gently come to rest right at the edge of th..
The diameters of the main rotor and tail rotor of a single-engine helicopter are 14.4 m and 2.14 m, respectively. What is the speed of the tip of the large rotor
The statement is: the effects of scaling are good for some creatures and bad for others. I understand the effect of scaling on cubes and the fact that smaller cubes have great surface-area-to-volume ratios.
an airplane whose airspeed is 550 kmh heads due north. but a 80 kmh wind coming from the east suddenly begins to blow.
A 46.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m. What is the centripetal acceleration of the child
A contact lens is made of plastic by an index of refraction of 1.48. The lens has an outer radius of curvature of +1.90 cm and an inner radius of curvature of+2.59 cm. What is the focal length of the lens?
Two solid spheres, each of mass m, are rolling without slipping with a speed v. If the spheres have radii R1 and R2 with R1/R2 = 7.3, what is the ratio of their kinetic energies
The electric potential of a very large isolated flat metal plate isV0. It carries a uniform distribution of charge of surface density σ (C/m2), or σ/2 on each surface. Decide V at a distance x from the plate. Think about point x to be far from teh ed..
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