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When a raindrop falls it increases in size, so its mass at time t is a function of t, m(t). The rate of growth of the mass is km(t) for some positive constant k. When we apply Newton's Law of Motion to the raindrop, we get (mv)' = gm, where v is the velocity of the raindrop (directed downward) and g is the acceleration due to gravity. The terminal velocity of the raindrop is limt→∞ v(t). Find an expression for the terminal velocity in terms of g and k.
The starter motor of a car engine draws a current of 160A from the battery. How much charge passes through the starter motor
An aluminum rod is 24.0 cm long at 20°C and has a mass of 350 g. If 14,000 J of energy is added to the rod by heat, what is the change in length of the rod
A 50.0 g sample of carbon taken from the femur bone of a skeleton is found to havea carbon -14 decay rate of 410 decays/min
Transverse waves travel at 20.8 m/s on a string that is under a tension of 7.00 N. What tension is required for a wave speed of 30.8 m/s in the string
A piece of wood with a density of 730 kg/m3 is tied with a string to the bottom of a water-filled flask. What is the volume of the wood
A hawk flies in a horizontal arc of radius 11.7 m at a constant speed 4.70 m/s. Find its centripetal acceleration.
An electron is in a certain energy state in a one-dimensional, infinite potential well from x = 0 to x = L = 200pm. What is the frequency of the photon that is emitted
The maximum possible efficiency of a heat engine which exhaust its heat at a temperature of 42.0o is 44.0 percent. What is the minimum value of the temperature
A 4m long, 140g rope is fixed at one end while the other is tied to a light string. what is the frequency of the third harmonic
Suppose that the speed of the water in the reservoir is zero, and that the water flow is steady. Overlook both air resistance and the height difference between the reservoir and the muzzle.
0.20 moles of Helium gas that initially occupies a volume of 4.0L under a total pressure of 1.0x10^5 Pa, What is the specific heat at constant temperature
what speed does boxcar have after 10 seconds.What is the object's displacement Dx.
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