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Two identical masses are connected to vertical springs each with a force constant k the coordinates x1 and x2 measure the distance of each mass from its equilibrium position write newton's 2nd law for each mass. Assume that x1(t)=A1e^iwt and x2(t)=A2e^iwt. Substitute these into Newton's Second Law and then solve for the eigenvalue problem for the w's. Find the eigenvectors and describe the motion of each mass in those directions
A 1.90 kg ball is attached to the bottom end of a length of fishline with a breaking strength of 10 lb (44.5 N). At what angle (measured from the vertical) will the fishline break
Which of the following must be true if we are to infer (calculate) a star's luminosity directly from the inverse square law for light.
A certain kind of glass has an index of refraction of 1.660 for blue light of wavelength 420 nm and an index of 1.630 for red light of wavelength 690 nm. what is the angle between the two beams inside the glass
A 0.350kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.750m/s when it makes a head-on collision with a stationary 0.150kg glider. Find the final kinetic energy of second glider
A 3-kilogram block slides along on a frictionless surface at 6 m/s north and strikes an obstacle that exerts an impulse on the block of 9 N-s to the south
A 1.00-cm-high object is placed 4.70 cm to the left of a converging lens of focal length 7.60 cm. Find the position and height of the final image
The speed of a particle moving in a circle 2.0 m in radius increases at the constant rate of 4.4 m/s2. what is the speed of the particle
At the instant the car begins to accelerate, a truck with a constant velocity of 21 m/s passes in the next lane. Explain how far will the car travel before it overtakes the truck?
A civil war era cannon is capable of firing a cannonball at 150 m/s. If it is set to fire at 39 degrees above the horizontal: how far will it go horizontally
The light shining on a diffraction grating has a wavelength of 490 nm (in vacuum). How many lines per centimeter does the grating have
Find the gage pressure at the center of pipe A in pounds per square inch and in kilopascals.
A water balloon slingshot launches its projectiles essentially from ground level at a speed of 25.0m/s, For how many seconds will the balloon be in the air
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