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A spherical raindrop falling through mist builds up mass. The mass accumulates at a rate proportional to its cross-sectional area and inversely proportional to its velocity, that is, dm/dt=kΠr2/v, where r is the radius of the raindrop at a given time and v is the downward speed at the same time. Assume the density ρ of the raindrop is a constant. Ignoring the resistance due to the fog and the air, calculate the instantaneous acceleration of the raindrop as a function of v, r, ρ , g, and k.
(Hint- in this variable mass problem, proceed similarly to a rocket problem in finding dp/dt and solving for dv/dt. Some of the above variables may also cancel out.)
Honeybees acquire a positive charge while flying through the air. The rapid motion of the wings through the air provides the "friction" to strip charges off the bee, find the strength of the electrostatic force on the pollen grain
A technician wraps wire around a tube of length 33 cm having a diameter of 7.9 cm. compute the self-inductance of this solenoid
with an expert karate blow, you shatter a concrete block. consider your hand to have a mass of .7 kg, to be moving 5 m/s as its strikes the block, what impulse does the block exert on your hand
Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to common vertical direction.
A 4.5kg squid takes in 1.75kg of water while at rest, and then expels the water at a speed of 3.5m/s, calculate the work done by the squid's muscles during this process
A canoe has a velocity of 0.430 southeast relative to the earth. Find the magnitude of the velocity of the canoe relative to the river
A magnetic field of 3 Tesla is oriented into the page. A 10 cm long conducting bar is pulled to the right at a constant speed of 3.4 m/s. What is the power supplied by the person pulling the bar
The isotope 15N undergoes radioactive decay to form 15C. What charged particle is emitted in the decay process? how much kinetic energy in MeV is given to the particle
A 7.93 kilogram box is pulled along a horizontal surface by a force F_P of 84.0 Newton applied at a 47 degree angle. obtain what is the acceleration of the box
when one mirror of a michelson interferometer is moved a distance of 0.5 mm 2000 fringes are observed find the
A capacitor should have charge of magnitude 4.5 microC on each plate, and an electric field of 2.0 kV/mm between the plates
A television is tuned to a station broadcasting at a frequency of 6.60×10^7 Hz . For best reception, the rabbit-ear antenna used by the TV should be adjusted to have a tip-to-tip length equal to half a wavelength of the broadcast signal
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