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A cylindrical space station of radius R and length L has a density that varies with distance from its center:
a.) Evaluate the mass dM of an infinitesimally thick cylindrical shell of radius r.
b.) Calculate the total mass M of the entire space station.
A metal ball with diameter of a half a centimeter and hanging from an insulating thread is charged up with 1020 excess electrons. An initially uncharged identical metal ball hanging from an insulating thread is brought in contact with the first ball,..
A wheel (radius = 0.20 m) is mounted on a frictionless, horizontal axle. A light rope wrapped around the wheel supports a 0.50-kilogram object, as shown below. When released from rest, the object falls with a downward acceleration of 5.0 m/s2. What i..
The depth of water behind the Hoover Dam in Nevada is 220 m. What is the water pressure at base of this dam? (Neglect the pressure due to the atmosphere.)
what is the lumberjack's speed relative to the shore? Neglect friction between the log and the water.
Establish the temperature at the interface
Find a circuit to change the relationship between waveform and zero-volt axis & calculating the period of waveform.
However, the current increases by just 0.11 A when R1 is removed, leaving R2 connected across the battery. Find (a) R1 and (b) R2.
A 2m long pendulum with a mass of 250gr collides with a 95gr sticky ball seating in the pendulum's path and at the edge of a horizontal surface. The collision takes place while the pendulum is passing by its lowest point.
A heat engine having an ideal monatomic gas as a working substance has a cycle consisting of the following three processes: isobaric expansion at 200 kPa.
Both spacecraft are initially at rest. Explain how far does the starship move as it pulls the shuttlecraft aboard?
A group of hikers hear an echo 2.50 s after they shout. If the temperature is 28°C, how far away is the mountain that reflected the sound wave.
Calculate the angle between the lines (in degrees). Use the angle in the +y direction from the crossing point. (All distances are in meters.)
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