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A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 15 cos 3t. (Use g = 32 ft/s2 for the acceleration due to gravity.)
Monochromatic light from a helium laser (λ = 632.8 nanometer) is incident normally on a diffraction grating containing 6.00 x103 lines/cm. Calculate the angles at which one would observe the first order maximum
You decrease the angular speed of the cylinder from 4:0 rad/s to 2:0 rad/s in 20:0 revoluations at constant angular acceleration. What is the angular acceleration during this decrease
How long does it take electrons to get from a car battery to the starting motor? Assume the current is 340 A and the electronstravel through a copper wire with cross-sectional area 0.21cm2 and length 0.85 m.
an early cyclotron had a diameter of 30 cm and used a magnet capable of applying a magnetic field of 2.0 T. What was the max kinetic energy of the protons
use the data in table of millikans paper to determine the stopping potential as a function of wavelength at 433.9
A typical ten-pound car wheel has a moment of inertia of about. calculate the rotational kinetic energy K of the rotating wheel
a bullet is fired through a wooden board with a thickness of 11.0 cm. the bullet hits the board perpendicular to it and
A violin string vibrates at 294 Hz whenunfingered. At what frequency will it vibrate if it is fingeredone third of the way down from the end
Inside the tube is a uniformelectric field of 4.50*10-4 N/C pointing in negativey-direction. How far does the particle travel before hitting the tube wall.
In an 8.00km race, one runner runs at a steady12.0km/h and another runs at 14.7km/h. How far from the finish line is the slower runner when the faster runner finishes the race
A helicopter lifts a 81 kgastronaut 20 m vertically from theocean by means of a cable. The acceleration of the astronaut isg/10. What is the speed of the astronaut just before she reaches thehelicopter
A collapsible plastic bag contains a glucose solution. If the average gauge pressure in the vein is 13900 Pa, what must be the minimum height of the bag in order to infuse glucose into the vein? Assume that the specific gravity of the solution is ..
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