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The equation F = arv + br2v2 gives the magnitude of the resistive force (in newtons) exerted on a sphere of radius r (in meters) by a stream of air moving at speed v (in meters per second), where a and b are constants with appropriate SI units. Suppose their numerical values are a = 3.40 10-4 and b = 0.780. Using this formula, find the terminal speed for water droplets falling under their own weight in air, taking the following values for the drop radii. (a) 10.0 µm (b) 100 µm (c) 1.00 mm. Note that for (a) and (c) you can obtain accurate answers without solving a quadratic equation, by considering which of the two contributions to the air resistance is dominant and ignoring the lesser contribution.
Suppose a diving board with no one on it bounces up and down in a simple harmonic motion with a frequency of 5.00 Hz. What is the frequency of the simple harmonic motion
If vector "B" is added to vector C =3.0i + 4.0J, the result is a vector in the positive direction of the y axis, with a magnitude equal to that of vector "C". What is the magnitude of vector "B".
Two identical waves each having an amplitude 0.02 m has a phase difference of ?/8 when they meet at a point. What is the amplitude of the resultant wave at this point? A string whose length is 1.0 m is fixed at both ends and vibrates according to the..
An airplane is cruising at an altitude of 10 km. The pressure outside the craft is 0.311 atm; within the passenger compartment, the pressure is 1.01 atm and the temperature is 20°C. A small leak occurs in one of the window seals in the passenger c..
A 3.0 kg mud ball drops from rest at a height of 10 m. what is the average net force exerted by the ball
Identify (a) the magnitude (in km) of the car's total displacement from its starting point and (b) the angle (from east) of the car's total displacement measured from its starting direction.
A 95 kg man standing on a surface of negligible friction shoves a 75 g stone lying at his feet, giving it a velocity of 4.0 m/s. What velocity does the man obtain accordingly.
A carbon resistor is to be used as a thermometer. On a winter day when the temperature is 4.00?C, What is the temperature on a spring day when the resistance is 216.0
Two masses m1 and m2 sit on a horizontal, frictionless table and are connected by a light string, Find the tension in each of the two strings
The charge on a capacitor increases by 21\mu C when the voltage across it increases from 99V to 119V. What is the capacitance of the capacitor
The crew of a rocket that is moving away from the earth launches an escape pod, which they measure to be 55 m long. What is the length of the escape pod as determined by an observer on earth
Using the capacitance determined in part (a), calculate the current in the circuit 7.4 ms after the switch is closed. Suppose that the capacitor is uncharged initially and that the emf of the battery is 9.0 V
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