A spherical raindrop of mass 0.00985 g and radius 1.33 mm falls from a cloud that...
A spherical raindrop of mass 0.00985 g and radius 1.33 mm falls from a cloud that is at a height of 1299 m above the ground. Assume the drag coefficient for the raindrop is 0.60 and the density of the air is 1.3 kg/m3. What is the raindrop's terminal speed?
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A spherical raindrop of mass 0.00985 g and radius 1.33 mm falls
from a cloud that...
A spherical raindrop (r = 0.0015 m) falls from a cloud. The drag coefficient is 0.60....
A spherical raindrop (r = 0.0015 m) falls from a cloud. The drag coefficient is 0.60. The density of the water is 1000 kg/m^3 and the density of the air it falls through is 1.2 kg/m^3. The shape of the drop doesn’t change during the fall, and the terminal velocity is 7.3 m/s. At this terminal speed, what is the magnitude of the resistive force acting on the drop?
A spherical raindrop 3.3 mm in diameter falls through a vertical distance of 4000 m. Take...
A spherical raindrop 3.3 mm in diameter falls through a vertical distance of 4000 m. Take the cross-sectional area of a raindrop ,drag coefficient 0.45, density of water to be 1000 kg/m3, and density of air to be 1.2 kg/m3. (a) Calculate the speed a spherical raindrop would achieve falling from 4000 m in the absence of air drag 280 m/s (b) What would its speed be at the end of 4000 m when there is air drag? 1.091 What...
A spherical raindrop 1.9 mm in diameter falls through a vertical distance of 4150 m. Take...
A spherical raindrop 1.9 mm in diameter falls through a vertical distance of 4150 m. Take the cross-sectional area of a raindrop = πr2, drag coefficient = 0.45, density of water to be 1000 kg/m3, and density of air to be 1.2 kg/m3. (a) Calculate the speed a spherical raindrop would achieve falling from 4150 m in the absence of air drag. _________ m/s (b) What would its speed be at the end of 4150 m when there is air...
5) A raindrop having no initial mass and zero velocity falls through a stationary cloud. It...
5) A raindrop having no initial mass and zero velocity falls through a stationary cloud. It accumulates mass at a constant rate k. It is subject to air resistance having magnitude cv, where v is the speed of the raindrop and c is a constant. Find an expression for the velocity and position of the raindrop at time t.
2.) As a raindrop falls through a cloud, it collides with smaller droplets of mist and...
2.) As a raindrop falls through a cloud, it collides with smaller droplets of mist and grows in mass (a) Derive a differential equation that relates the mass and velocity of the drop as it falls and accretes mass. Hint: Do NOT just differentiate d(mv)/dt, but start with the impulse-momentum theorem in differential form, like we did in the derivation of the rocket equation. Your "system" should include the raindrop itself and a small mass Δm of droplets with which...
A Styrofoam ball of radius 20 cm falls with a terminal velocity of 9.06 m/s. What...
A Styrofoam ball of radius 20 cm falls with a terminal velocity of 9.06 m/s. What is the mass of the ball? You may assume that the drag coefficient is 1 and that the density of air is 1.3 kg/m^3.
Calculate the terminal speed in air and characteristic time for (a) a very tiny spherical raindrop...
Calculate the terminal speed in air and characteristic time for (a) a very tiny spherical raindrop of diameter 0.1 mm (b) a basketball of diameter 0.25 m and mass 0.6 kg
A nice example of the difference that drag can make concerns raindrops. Consider a raindrop that...
A nice example of the difference that drag can make concerns raindrops. Consider a raindrop that has a radius of 2 mm and falls from a height of 1000 m. Further, let us approximate the raindrop as a smooth sphere.The density of water is 1 g/cm3. In real life, the raindrop experiences a considerable drag force. When the drag force is considered, approximately how fast will the raindrop be travelling when it strikes the ground?
A raindrop of mass 4.0 mg and radius 2.0 mm has acquired an electric charge of...
A raindrop of mass 4.0 mg and radius 2.0 mm has acquired an electric charge of 15x10^-15 C. The raindrop is located at the bottom of a cloud that is 500 m above the surface of the earth where the electric potential is -10^9 V with respect to the ground. What is the ratio of the electric potential energy of the raindrop compared to the gravitational potential energy? ANS: -7.7x10^-4 I just don't know how to solve the problem.
Consider a spherical bacterium, with radius 1.7 μm , falling in water at 20° C. Find...
Consider a spherical bacterium, with radius 1.7 μm , falling in water at 20° C. Find the terminal speed of the spherical bacterium in meters per second, ignoring the buoyant force on the bacterium and assuming Stokes' law for the viscous force. You will first need to note that the drag force is equal to the weight at terminal velocity. Take the density of the bacterium to be 1.3 × 103 kg/m3. The viscosity of water at 20 °C is...
A spherical raindrop 3.3 mm in diameter falls through a vertical distance of 4000 m. Take the cross-sectional area of a raindrop ,drag coefficient 0.45, density of water to be 1000 kg/m3, and density of air to be 1.2 kg/m3. (a) Calculate the speed a spherical raindrop would achieve falling from 4000 m in the absence of air drag 280 m/s (b) What would its speed be at the end of 4000 m when there is air drag? 1.091 What...
2.) As a raindrop falls through a cloud, it collides with smaller droplets of mist and grows in mass (a) Derive a differential equation that relates the mass and velocity of the drop as it falls and accretes mass. Hint: Do NOT just differentiate d(mv)/dt, but start with the impulse-momentum theorem in differential form, like we did in the derivation of the rocket equation. Your "system" should include the raindrop itself and a small mass Δm of droplets with which...
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