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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.)
A power supply maintains a potential difference of 79.1 V across a 1.69 KQ resistor. What is the current in the resistor in millamperes
Atmospheric air at 20-C is flowing at 10 m=s. Calculate the drag force on a 10-cm-diameter smooth sphere,
A block of mass m1 = 0.55kg is placed on top of another block of mass m2 =0.91kg, What minimum coefficient of static friction between the two blocks will prevent the upper one from slipping
Consider a commemorative quarter-dollar advertised for sale at $4.98. It has a diameter of 24.3 mm, a thickness of 1.78 mm, and is completely covered with a layer of pure gold 0.149 µm thick.
A Carnot engine is operated between two heat reservoirs at temperatures of 530K and 300K. What is the thermal efficiency of the engine
an ideal gas is taken through a carnot cycle. the isothermal expansion occurs at 250 degc and the isothemal compression
A 12.0 Volt battery remains connected to a parallel plate capacitor with a plate area of 0.184 m2 and a plate separation of 4.04 mm. Determine what is the electric field between its plates
Light of wavelength 800nm is incident on a metallic surface. if the stopping potential for the photo-electrons ejected from the metal is 0.35 volts, find the work function for the metal and the longest wavelength incident light that will eject photo-..
Shaving/makeup mirrors typically have one flat and one concave (magnifying) surface. compute the focal length of the mirror
The plates of a parallel-plate capacitor are 2.50mm apart, and each carries a charge of magnitude 85.0nC. What is the potential difference between the plates
A 18.3- cm focal-length lens is used to project 35- mm slidesonto a screen 4.17 m from the projector lens. What must be thewidth of the screen ( m) if the image of the slide is to just fillthe screen? The width of the image on the slide is 34.3 mm.
A particle travels along a straight line with a velocity of v=(20 - 0.05s2) m/s, where s is in meters. Determine the acceleration
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