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Q. Two harmonic oscillators A and B, of mass m and spring constants kA and kB, respectively, are coupled together by a spring of spring constant kC. Find the normal frequencies w' and w" and describe the normal modes of oscillation if kc^2=kAkB.
Q. Suppose that in the same Atwood setup another string is attached to the bottom of m1 and a constant force f is applied, retarding the upward motion of m1. If m1 = 4.80 kg and m2 = 9.60 kg, what value of f will reduce the acceleration of the system by 50%?
Modeling the optical trap as a Hookean spring, evaluate the trap stiffness using the Boltzmann distribution. Determine the sphere diameter by comparing the Stokes drag and the tweezer force that balances the drag.
An electron is accelerated by a 4.5 kV potential difference. How strong a magnetic field must be experienced by the electron if its path is a circle of radius 5 cm.
Runner A is at first 6.60 km west of a flagpole and is running with a constant velocity of 6.4 km/h due east. Runner B is firstly 7.20 km east of the flagpole and is running with a constant velocity of 8.80 km/h due west.
Suppose a patient having an MRI is immersed in a 3.0 T field along the axis of his body. He then quickly tips his head to the side, toward his right shoulder, tipping his head by 30 degrees in the rather short time of 0.15 s.
A child and sled with a combined mass of 49.20 kg slide down a frictionless hill that is 7.38 m high. If the sled starts from rest, what is its speed at the bottom of hill.
A helicopter is ascending vertically with a speed of 5.57. At a height of 124 above the Earth, package is dropped from a window. How much time does it take for the package to reach the ground?
A ball dropped from a height of 4.00 m makes an elastic collision with the ground. Assuming no mechanical energy is lost due to air resistance, a) show that the ensuing motion is periodic, b) find the period of the motion.
A 1600 kg car is traveling along a straight road at 17 m/s. Two seconds later its speed is 24m/s. What is the magnitude of the net force on car during this time.
The minimum stopping distance for a car travelling at a speed of 30 {rm m/s} is 60 {rm m}, including the distance travelled during the driver's reaction time of 0.54 {rm s}.
A speed skater moving across frictionless ice at 8.4 m/ s hits a 5.2 m -wide patch of rough ice. She slows steadily, after that continues on at 6.3 m/s.
A 400 kg car sits 2 m to the right of a fulcrum assume car is on a weightless rod, how far to the left of the fulcrum should an effort of 200 N be applied to keep the system in quilibrium.
What fraction of the initial kinetic energy was transferred
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