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A thin rod L meters long has a linera density that varies as \(\rho (x) = \rho_{0} e^{-ax}\). Find
a) the mass of the rod
b) the center of mass
c) the rotational inertia about an axis perpendicular to the rod passing through the end at x = 0
If a person exerts 44 N of force on the back of a seat while stopping in 0.4 seconds, what is the impulse on the seat back?
two extremely large nonconducting horizontal sheets each carry uniform charge density on the surfaces facing each other. find the surface charge density on the lower sheet
A coffee filter of mass 1.1 grams dropped from a height of 1 m reaches the ground with a speed of 0.5 m/s. How much kinetic energy Kair did the air molecules gain from the falling coffee filter? Start from the Energy Principle and select as system..
The electron's brother is the neutrino which has no mass and no charge, Given that the electron's mass in energy units is 0.511 MeV, calculate its classical radius r0.
When a guitar string is sounded along with a 439 Hz tuning fork, a beat frequency of 2.00 Hz is heard. What is the frequency of the string
a block is moving down a hill at rest with height of h then it go on a loop, with r=0.5, if the block can comeplete this loop. What is the least height of the hill
Three point charges, A = 1.80 µC, B = 7.50 µC, and C = -3.80 µC, are located at the corners of an equilateral triangle, Find the magnitude (N/C) at point A, and the direction in degrees counterclockwise from the positive x-axis
What current is required in the windings of a long solenoid that has 1710 turns uniformly dispersed over a length of 0.547 m in order to produce a magnetic field of magnitude 0.0002 T at the center of the solenoid.
With its double helix structure, DNA is coiled like a spring. A biophysicist grabs the end of a DNA strand with optical tweezers, What's the DNA spring constant
A pickup truck with mass 1.88x10^3 kg is traveling eastbound at +16.0 m/s, while a compact car with a mass of 8.56x10^2 kg is traveling westbound at -16 m/s. find the speed of the entangled vechicles after collision
what is the magnitue of the magnetic field in the centre of a solenoid with a current of 1.25 A, Describe the right hand rule for solenoids
The Relativistic Heavy Ion Collider (RHIC) at Brookhaven is colliding fully ionized gold (Au) nulcei accelerated to an energy of 200 GeV per nucleon, What is the speed of each Au nucleus just before collision
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