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1) The fair has a ride that consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away. The coefficient of static friction between the person and the wall is and the radius of the cylinder is R. Determine the period of revolution necessary to keep the person from falling.
Consider the normal force between the person and wall.
2) A "spring activated toy" weighs 0.925N and has a spring of length 5cm. Upon release the toy jumps to a height of 0.5m. What is the spring constant of the spring?
The spring is initially held in a compressed state by the adhesive force of the 'sucker' which provides a maximum force of the form
Fsucker = Fo(1 - t2/to2o)
where F0 and t0 are constants. Find an expression for the time it would take before the spring-activated toy is launched into the air.
3) One strategy used by the Ewok's during their battle with the imperial stormtroopers was to throw a rock at a high angle over level ground. While a stormtrooper watched the first one, a second rock was thrown at a low angle timed to arrive before or at the same time as the first one. Assume both rocks are thrown with a speed of 25.0 m/s. The first one is thrown at an angle of 65.0° with respect to the horizontal. At what angle should the second (low angle) rock be thrown to arrive at the same point as the first? How many seconds later should the second rock be thrown, after the first was thrown, to arrive at the same time?
My professor today stated that if a ball was to fall a certain height, then the work done by gravity on the ball would equal the work done by the ball's equal and opposite gravitational pull. By W=F*d, this means that the earth must travel the ..
A transformer has input voltage and current of 12 V and 6 A, and an output current of 0.8 A. how many turns are on the primary side
consider the electric circuit shown here consisting of a 12.0-v battery and three capacitors connected partly in series
Infrared spectra are used by chemists to help identify an unknown substance. Atoms in a molecule that are bound together by a particular bond vibrate at a predictable frequency, determine the resonant frequency of this bond and the wavelength of li..
A rectangular sample of a metal is 3.6 centimeter wide and 500 µm thick. Calculate the drift speed of the conduction electrons
Two spectators at a soccer game in Montjuic Stadium see, and a moment later hear, the ball being kicked on the playing field. How far is each spectator from the player
A 0.14 kilogram pinecone falls 16 meter to the ground, where it lands with a speed of 13 meter per second. Find with what speed would the pinecone have landed if there had been no air resistance
On aircraft carriers, catapults are used to accelerate jet aircraft to flight speeds in a short distance. How far does the jet travel while it is accelerating
A racecar accelerates uniformly while starting from rest, find the total linear acceleration of a point on the outside of the tire when the car has traveled a distance of 200 m
A 0.500-kg glider, attached to the end of an ideal spring with force constant k=450 n/m, undergoes simple harmonic motion with an amplitude 0.040 m. Compute the maximum speed of the glider
A molecule of DNA (deoxyribonucleic acid) is 2.08 µm long. The ends of the molecule become singly ionized: negative on one end, Determine the effective spring constant of the molecule
A coil is placed in a changing magnetic field and an emf is induced. What happens to the induced emf if the rate of change of magnetic field quadruples?
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