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A capacitor has a capacitance of 7.38 . What amount of excess charge must be placed on each of its plates to make the potential difference between the plates equal to 26.0 ?
A car is traveling East at 15.21 m/s. 29.87 seconds later it is traveling North at 15.21 m/s. What is the magnitude of the acceleration of the car?
Global Positioning System (GPS) satellites area at altitudes of 20,000 km as measured from the center of the earth. At this altitude the acceleration of gravity is only 5.8% of the value on the surf
Prove that K has chords of length 1/X parallel to EF for all positive integers X. Must L have chords of length r parallel to EF for any real r with 0 < r < 1?
According to Lenz's law the direction of an induced current in a conductor will be that which tends to produce which of the following effects?
A satellite circles planet Roton every 6.3 h in an orbit having a radius of 2.9 × 107 m. If the radius of Roton is 2.001×107 m, what is the magnitude of the free-fall acceleration on the s
What is the maximum number of refrigerators which could also be delivered in the same truck? Describe the restrictions this would add to the original graph.
A potter's wheel, with rotational inertia 6.50, is spinning freely at 16.0 . The potter drops a 2.90 lump of clay onto the wheel, where it sticks a distance of 48.0 from the rotation axis. What is t
A juvenile elephant has a mass of 300kg. He wishes to fly using his very large ears. If the air speed on top of his ears is 30m/s and the speed below his ears is 22m/s, find the total surface
A bat flying straight toward a wall at 11m/s emits a pulse at 60kHz. What is the frequency of the reflected ultrasonic echo wave reaching a stationary observe standing under the bat? Take the speed
A wheel of radius .1m and mass of 20kg rotates at 100rpm. If we want the wheel to stop after 5 revolutions, what constant angular acceleration must be applied to the wheel?
What about exponentiation? Find all solutions in positive real numbers to (a∧b)∧c =a∧(b∧c). If stuck, Consider more restricted questions, such as what are all the&
What are the (a) magnitude of the magnetic field at P and (b) magnitude of the loop's magnetic dipole moment?
Suppose the intervals need not be closed. They may be open, as in 1 < x < π, or half open,&nb
An 8.33g bullet is fired into a 300g block that is initially at rest at the edge of a table of h = 1.08 m height. What is the initial horizontal velocity of the block as it flies off the table? (ass
For water Nred=1.331 and Nblue=1.340. What are the underwater angles of refraction for the red and blue components of a white light beam in air incident at an angle of 82 degrees on a water surface?
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?