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When an object moves through a fluid, the fluid exerts a viscous force on the object that tends to slow it down. For a small sphere of radius R, moving slowly with a speed v, the magnitude of the viscous force is given by Stokes' law, F = 6??Rv, where ? is the viscosity of the fluid.
(a) What is the viscous force on a sphere of radius R = 4.90 10-4 m that is falling through water (? = 1.00 10-3 Pa · s) when the sphere has a speed of 3.4 m/s?
_____ N
(b) The speed of the falling sphere increases until the viscous force balances the weight of the sphere. Thereafter, no net force acts on the sphere, and it falls with a constant speed called the "terminal speed." If the sphere has a mass of 1.03 10-5 kg, what is its terminal speed?
_____ m/s
An electromagnetic wave in a vacuum has an instantaneous magnetic field strength of 0.000000740 T at a certain point. What is the instantaneous electric field strength of the wave
A string 1.3 m long with a mass of 3.9 g is stretched between two fixed points with a tension of 93 N. Find the frequency of the fundamental on this string
A stone is thrown horizontally at 70.0 m/s from the top of a very tall cliff. Calculate its horizontal position and vertical position at 2.00 s intervals for the first 10.0s
One solenoid is centered inside another. The outer one has a length of 53.0cm and contains 6600 coils, while the coaxial inner solenoid is 5.00 cm long, What is the mutual inductance of these solenoids
Four moles of an ideal gas undergo a reversible isothermal expansion from volume V1 to volume V2 = 5V1 at temperature T = 400K. Find the entropy change of the gas
Imagine a spherical planet of radius R and an average density of 5.0*10^3 kg/m3; this is approximately the average density of the Earth. What is the radius of the planet
Earth has a net charge that produces an electric field of approximately 150 N/C downward at its surface. (a) What is the magnitude and sign of the excess charge.
In a certain oscillating LC circuit the total energy is converted from electric energy in the capacitor to magnetic energy in the inductor in 1.30 µs. What is the frequency of oscillation
A car backs out of a driveway in front of a fire truck. The driver of the fire truck takes 0.18s to hit the brakes. How far away from the car was the fire truck when the driver first saw the car
Two boxes of masses m and 2m are in contact on a frictionless surface. What is the net force on the more massive box
A lens with a focal length of 60cm is sitting 90cm in front of a lens of focal length 40cm. where is the final image formed
A 38.0-kg child swings in a swing supported by two chains, each 2.90 m long. The tension in each chain at the lowest point is 418 N. Find the child's speed at the lowest point
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