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Two waves traveling in opposite directions along a string fixed at both ends create a standing wave described by y(x, t) = 0.01 sin(44x)cos(1090t). The string has a linear mass density of 0.01 kg/m, and the tension in the string is supplied by a mass hanging from one end. If the string vibrates in its third harmonic, calculate the following.(a) the length of the string
A rock is dropped straight down from the top of a 49.2 meter building. How long does it take for the rock to hit the ground? How fast is the rock moving on impact
A newly discovered planet has twice mass of the earth, but the acceleration because of gravity on the new planet's surface is exactly the same as the acceleration due to gravity on the earth's surface. What is the radius Rp of the new planet in te..
A spaceship is observed by a stationary observer to be moving at .6 c. How fast does the laser beam travel relative to the observer
The density of water is 1000kg/m^3 or 8.33lbm/gallon, the mass flow rate is 494838.83 kg/s and goes through a turbine generator that has 0.80 efficiency
A student sits on a swivel seat. Initially the student is at rest, holding a spinning bicycle wheel that has an angular velocity of 13.9 rad/s. Find the student's final angular velocity
Lilly is unloading15 kg bottles of water from her delivery truck when one of the bottles tips over, What is the force that moves the bottle down the ramp
If one sphere (density = .3 x 10^3 kg/m^3) is placed at the bottom of a tub filled with water, and another sphere (density = 8.1 x 10^3 kg/m^3) is placed 1.5 m directly above the first sphere. Determine the acceleration of each sphere
A diffraction grating with 750 slits/mm is illuminated by light that gives a first order diffraction angle of 34 degrees. What is the wavelength of the light
A skier of mass m= 70kg glides down a slope at angle theta= 32 degrees, as shown in the figure below. The snow is so slippery that you can neglect friction. Find the force the snow exerts on the skier
A ball is thrown so that its initial vertical and horizontal components of velocity are 30 m/s and 25 m/s, Estimate the maximum height the ball reaches
a 2. kg ball moving to the right with a speed of 25m/s collides with a 15. kg ball going in the same direction with the speed of 20 m/s. What is the speed of the second ball after collision if it travels in the same direction as before
A cup of newly brewed 330 g cofee is to hot to drink when served at 88 degree celcisus. What is the mass of the ice cube needed in order to cool the coffee to a pleasant 50 degree celsisus
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