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An object moving in a liquid experiences a linear drag force: D=(bv, direction opposite the motion), where b is a constant called the drag coefficient. For a sphere of radius R, the drag constant can be computed as b=6pnR, where n is the viscosity of the liquid.
a. Use what you've learned in calculus to prove that ax=vxdvx/dx
b. Find an algebraic expression for vx(x), that the x-component of velocity as a function of distance traveled, for a spherical particle of radius R and mass m that is shot horizontally with initial speed v0 through a liquid of viscosity n.
c. Water at 20o C has a viscosity n=1.0x10-3 N s/m2. Suppose a 1.0-cm-diameter, 1.0 g marble is shot horizontally into a tank of 20o C water at 10 cm/s. How far will it travel before stopping?
Suppose you have a thin, uniform rod with a total mass of 3.00 kg and a total length of 2.00 m. By what percent- age does the moment of inertia decrease if you rotate it about a point located 20% (0.40 m) from one end, instead of at that end?
A man is trying to get his car out of mud on the shoulder of a road. He ties one end of a rope tightly around the front bumper and the other end tightly around a utility pole a distance d away. What is the magnitude of the force on the car from the..
Two resistanceless rails 32 cm apart rest on a 6.0° ramp. They are joined at the bottom by a 0.63 resistor, What is the terminal (steady) velocity of the bar as it slides frictionlessly down the rails
A ball swings in a vertical circle at the end of a rope 1.30 m long. When the ball is 37.3 ° past the lowest point on its way up, Sketch a vector diagram showing the components of its acceleration
Determine the minimum thickness of a soap film (n= 1.80) that will result in constructive interference of a specific red line with wavelength 610 nm
A metal bar, pivoted at one end, oscillates freely in the absence of a magnetic field. But, when it oscillates between the poles of a magnet, its oscillations are quickly damped. Why? (Such magnetic damping is used in a number of practical devices..
q1. a heavy piece of hanging sculpture is suspended by a 94 cm long 4.6 g steel wire. when the wind blows hard wire
In the game of darts, the player stands with feet behind a line2.36 m from a dartboard, with the bull's-eye at eye level. Supposeyou lean across the line, release a dart at eye level 1.74 m from the board, and hit the bullseye.
A circular disk has surface charge density 8.0nC/cm^2. What will the surface charge density be if the radius of the disk is doubled? Express your answer to two significant figures and include the appropriate units.
Consider two identical particles of spin 1/2 that are confined in a cubical box of side L. Find the energy and wave function of this system
A K0 particle at rest decays into a ?+ and a ??. The mass of the K0 is 497.7 MeV/c2 and the mass of each pion is 139.6 MeV/c2. What will be the speed of each of the pions
73 magnetic target is suspended on a string. A .025magnetic dart, shot horizontally, stickes the target head-on. the dart and the target together, acting like apendulum, swing 12 cm above the initial level before instantaneously coming to a rest...
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