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A rod of length l and mass m, pivoted at one end, is held by a spring at its midpoint and a spring at its far end, both pulling in opposite directions. The springs have spring constant k, and at equilibrium their pull is perpendicular to the rod. Find the frequency of small oscillations about the equilibrium position.
A bicycle is turned upside down while its owner repairs a flat tire. A friend spins the other wheel of radius 0.4 m and observes that drops of water fly off tangentially. Find the angular deceleration of the wheel
4 kg of liquid seawater with initial temp 0 C and salinty 3 % is mixed with pure water with initital temp 15 C the system reaches equilibrium at 5 C
A child and sled with a combined mass of 55.20 kg slide down a frictionless hill that is 7.84 m high at an angle of 26o from horizontal. The acceleration of gravity is 9.80 m/s2. If the sled starts from rest, what is its speed at the bottom of hil..
A 65.0 kg human sprinter can accelerate from rest to 10 m/s in 2.90 s. all through the same interval, a 33 kg greyhound can accelerate from rest to 20 m/s. calculate (a) change in kinetic energy and (b) average power output for each.
Suppose the flux through a loop changes uniformly from 12 Wb to 18 Wb in 6.50 s. What is the magnitude of the emf induced in the loop
A 85.9-kg baseball player slides into second base. The coefficient of kinetic friction between the player and the ground is ?k = 0.561. If the player comes to rest after 1.27 s, what is his initial speed
What angle does the rope make with the horizontal.
In a diffraction grating experiment, light of 600 nm wavelength produces a first-ordered maximum 0.35 mm from the central maximum on a distant screen. What is the wavelength of the light from the second source
Point charges of 6.2*10^-8 C and -6.4*10^-8 C are placed 72 cm apart. A third point charge of 6.3*10^-8 C is placed half way between the first two point charges
In changing the state of a gas adiabatically from an equilibrium state A to another equilibrium state B, how much is the net work done by the system in the latter case
A bungee jumper undergoes simple harmonic motion with amplitude 6.4 m and frequency 0.145 Hz. Determine the bungee jumper's velocity at 0.25 seconds
A charge q1 = -7 µC is at the origin, and feels a force along the positive x-axis equal to 1.8 N. What is the x-component of the electric field
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