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Q. The lowest note on a grand piano has a frequency of 27.5-Hz. The entire string is 2.00m long and has a mass of 400-g. The vibrating section of the string is 1.90m long. What tension is needed to tune this string properly?
Avoid the weight of the bat, since it is so much less than the force of the bat. Select the direction of the incoming ball as positive direction.
A small remote-control car with a mass of 1.60 kg moves at a constant speed of v = 14.0 m/s in a vertical circle inside the hollow metal cylinder that has the radius of 5.00 m.
A whale comes to the surface to breathe and then dives at an angle of 20 degree below the horizontal.
A car is traveling at 27 m/s when the driver spots a large pothole in the road a distance 44 m ahead. She immediately applies her brakes. If her acceleration is -9.7 m/s2, does she arrange to stop before reaching the pothole.
A 1.20 liter flask contains a certain quantity of ideal gas at 305 K. next an equal number of molecules of the same gas are added to the flask, after which the absolute pressure is 1.30 times its original value. What is the final temperature.
The ink drops have a mass = 1.0×10-11 each and leave the nozzle and travel horizontally toward the paper at velocity = 22. The drops pass through a charging unit that gives each drop a positive charge by causing it to lose some electrons.
A small rocket to gather weather data is launched straight up. few seconds into the flight, its velocity is 110 and it is accelerating at 17 . At this instant, the rocket's mass is 50 and it is losing mass at the rate of 0.45 as it burns fuel.
Explorer is caught in a whiteout (in which snowfall is so thick that the ground cannot be distinguished from the sky) as returning to base camp.
Heather and Matthew walk eastward with the speed of 0.99 m/s east. If it takes them 37 minutes to walk to the store, how far have they walked? Reply in units of km.
An airplane needs to reach a velocity of 487 km/h to take off. On a 2000 m runway, what is the least acceleration necessary for the plane to take flight.
Levy flights- consider a random walk of N steps in one-dimension. suppose that the steps are completely uncorrelated, and that the distribution of step size a is given by phi(a)= k*1/(1+abs(a)^alpha).
An electron is moving at a speed of 1.0 x10^4 m/s in a circular path of radius of 2.1cm inside a solenoid. The magnetic field of the solenoid is perpendicular to the plane of the electron's path. The solenoid has 25 turns per centimeter.
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