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A thin, cylindrical rod L = 20.6 cm long with a mass m = 1.20 kg has a ball of diameter d = 6.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy? (J) (b) What is the angular speed of the rod and ball? (rad/s) (c) What is the linear speed of the center of mass of the ball? (m/s) (d) How does it compare with the speed had the ball fallen freely through the same distance of 23.6 cm? (%)
If a iron core of a collapsing star initially spins with a rotational frequency of fo=3.4 per second and the core radius decrease during the collapse by a factor of 24. what is the rotational frequency of the iron core at the end of collapse
Differentiate the amplitude of a forced oscillator to find the frequency that yields the maximum amplitude. Under what conditions is the maximum driving amplitude close to the natural frequency?
A pendulum is constructed by attaching a small metal ball to one end of a 1.25 m long string that hangs from the ceiling. the ball is released when it is raised high enough for the string to make an angle of 30.0 degrees with the vertical. how fast i..
A 4.0-kg rock is dropped from a height of 21.0 m. At what height is the rock's kinetic energy twice its potential energy? ?? m A cylinder of gas is at room temperature (20°C). The air conditioner breaks down, and the temperature rises to 49°C. Wha..
A quantity of gas in a piston cylinder has a volume of 0.544 m3 and a pressure of 200 Pa. The piston compresses the gas to 0.126 m3 in an isothermal (constant-temperature) process. What is the final pressure of the gas? Pa A periodic wave has a frequ..
A proton moves through a uniform magnetic field given by B= (10i ? 18.0j + 30k ) mT. At time t1, the proton has a velocity given by = v xi + vyj + (2000 m/s)k and the magnetic force on the proton is FB = (3.77 e-17 N)i + (2.10 e17 N)j . (a) At that i..
An electron is confined to move in the xy plane in a rectangle whose dimensions are Lx and Ly. That is, the electron is trapped in a two-dimensional potential well having lengths of Lx and Ly. In this situation, the allowed energies of the electron d..
Suppose the light bulb in the figure below is replaced with a short wire of zero resistance, and the resistance of the rails is negligible. The only resistance is from the moving rod, which is The rod has a cross-sectional area of m2 and moves with a..
A golfer lines up for her first putt at a hole that is 10.5 m exactly north west of her ball's location. She hits the ball 10.5 m and straight, but at the wrong angle, 41 degrees from due north.
A positron is a particle with the same mass and magnitude charge as an electron, but a positron has a positive charge. If a positron and electron are held a distance of 0.900 pm apart and then both are released from rest, when they are 0.324 pm away ..
Assume that the balloon rises slowly so that the temperature inside is the same as outside. Illustrate what will happen if the balloon is made up of rigid material?
There is a charge of -3e locked down at a point on a table. 15 meters away, a charge of 3e is released from a scientists hand. What is the potential energy of the charge just as it is released from the scientists hand
One runner ran the 100-m dash in 11.9 s. Another runner came in secona at 12.4 s. determine the sepaaration between the two runners
If the two halves of the log only separate by a distance of 0.05m while the wedge travels 0.2m into the log, how much force is the wedge exerting on the two halves of the log to rip them apart.
A parallel-plate capacitor has 3.95 cm2 plates that are separated by 4.29 mm with air between them. how much energy does it store
A 850kg electric car uses a 270 V battery pack. What's the maximum speed the car can attain during this time
Suppose one gallon of gasoline produces 1.1 x 108 J of energy, and this energy is sufficient to operate a car for twenty miles. how many miles could the car go with that energy
A 89.1-kN car is travelling at 73.1 mph when the driver decides to exit the freeway by going up a ramp. What is the magnitude of the average drag force exerted on the car
Two point charges are placed along a horizontal axis with the following values and positions: +2 µC at x = 0 cm and - 21 µC at x = 21 cm. At what point (the coordinate) along the x axis is the electric field zero? Expess the answer (in cm) with one d..
You are driving 110 miles to Columbus from Cincinnati. The first 100 miles you drive a good speed of 75mi/h . Unfortunately, you hit a traffic jam the last 10 miles where at least you move a constant 8.00mi/h .
A 10 kg dog is standing on scale in an accelerating elevator. If the scale reads 5 kg, what is the acceleration of the elevator
Assume that a drop of mercury is an isolated sphere. What is the capacitance of a drop that results when 10 drops each of radius R = 2.80 mm merge
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