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Consider the integers from 0 to 999, written in the normal way. We will ask several questions about these numbers, and then ask you some questions about the questions. How many of these numbers
What is the value of the inductance L so that the above circuit carries the largest current?Using the inductance found in the previous problem, what is the impedance seen by the voltage source?
Consider the three numbers. Prove that the product of some two of these numbers is nonnegative.
A reflecting telescope has a main mirror with fM = 540 mm. If an eyepiece with a magnification of 5 is used, what is the total magnification of the telescope? Assume the near-point distance of the
A pendulum sweeps out an angle of 12.5 during its motion. How far does the pendulum bob (the ball at the end of the rope) travel in one complete cycle of motion if its length is 12.3 cm?
An optical disk drive in your computer can spin a disk at up to 10,000 rpm. If a particular disk is spun at 7570 rpm while it is being read, and then is allowed to come to rest over 0.502 seconds, w
A 1.58-kg block is held against a spring of force constant 1.25E+4 N/m, compressing it a distance of 0.158 m. How fast is the block moving after it is released and the spring pushes it away?
If a polygon has at most one non-acute angle, how many sides can it have? In your proofs, you may use standard facts about angles in polygons.
An airplane with an average cross sectional area 10 meters squared experiences a lift force of 60 000 N. What is the diference in air pressure, between the bottom and top of the wing?
An inductor that has a resistance of 70 k? is connected to an ideal battery of 48 V. 2.6 ms seconds after the switch is thrown the current in the circuit is 0.363429 mA. Calculate the inductance.
What about exponentiation? Find all solutions in positive real numbers to (a∧b)∧c =a∧(b∧c). If stuck, con
When a beam of monochromatic light is incident on two narrow slits by a distance .14 mm, the angle between the central beam and the third lateral maximum in the interference pattern is .52 degrees.
An object of mass 6.66 kg is released from rest and drops 2.05 m to the floor. The collision is completely inelastic. How much kinetic energy is lost during the collision?
What uniform magnetic field, applied perpendicular to a beam of electrons moving at 3.59 x 106 m/s, is required to make the electrons travel in a circular arc of radius 0.268 m?
Suppose we have an ‘ideal' parallel-plate capacitor, made of two metal plates in vacuum. If we insert a layer of plastic between the plates, does this cause the capacitance to increase or decr
A 120 g mass is attached to a spring with constant 20 N/m. If the mass is pulled back 15 cm from the equilibrium position then released, find the speed of the mass after it has moved 5 cm.
Which system has a greater magnetic potential energy, the case of two magnets with their North poles facing each other or the opposite configuration of the north and south pole facing each other. Ex
A diver pushes off horizontally from the top of a vertical cliff that is 40.0 m high from water surface below. But the driver has to clear a rock formation hat is 6.0 m wide (as shown). (A) What ang
A golf ball is hit and leaves the ground at 35 m/s. If its speed is 23 m/s at the peak of its path, what is the maximum height that it reaches? (ignore friction and air resistance)
Suppose a 0.4kg mass traveling at 50m/sec hits an elastic bumber system with a spring constant of 3500N/m, how far will the spring be compressed?
If 0.3kg mass is attached to a spring with an elastic constant of 250N/m and moved 0.25m from the equilibrium position, what is the maximum acceleration of the system?
Two concentric current loops lie in the same plane. The smaller loop has a radius of 3.0 and a current of 12 . The bigger loop has a current of 20 . The magnetic field at the center of the loops is
The coefficient of static friction between the m = 3.65-kg crate and the 35.0° incline of the figure below is 0.335. What minimum force must be applied to the crate perpendicular to the incline
Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.11
One method of determining the refractive index of a transparent solid is to measure the critical angle when the solid is in air. If ?c is found to be 43.7°, what is the index of refraction of th