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A particle of mass m is placed on a frictionless horizontal table and attached by two identical massless spicral springs of natural length b and stiffness k, to two fixed points A and B on the table. Points A and B are a distance 2a apart, where 2a>2b, so that the springs are stretched. The particle is then given a displacement along the line of the springs and released. Show that the motion that ensues is simple harmonic motion, and find its period.
A boy is standing on a frozen lake (i.e. no friction) holding a rope that is attached to his sled. He pulls on the rope and exerts a horizontal force of 5.2 N, What is the acceleration of the boy
A rocket with an initial mass of 1 000 kg adjusts its thrust by varying the rate at which mass is ejected. at what rate is mass being ejected at that instant
A continuous line of charge lies along an x axis, extending from x = +x0 to positive infinity. The line carries charge with the uniform linear charge density λ0. What are the magnitude and direction of the electric field at the origin.
Household wiring made of aluminum wire with cross section area 3.1 x10^-6 m2 carries a current of 4.5 A. The bulk resistivity of aluminum is 2.82 x10^-8. What is the power loss over 5.2 m of wire?
Consider two masses that hang from an overhead beam. The first mass of 62.9 kg is attached to the beam using an ideal rope. Find the tension in the lower rope
A simple dc-motor is made up of a single coil rotor placed between two permanent magnets. How many turns should the coil have so that the motor can supply a torque of 0.100 N-m
A ruby laser emits an intense pulse of light that lasts a mere 30 ns. The light has a wavelength of 690 nm, and each pulse has an energy of 200 mJ. (A) How many photons are emitted in each pulse? (B) What is the rate of photon emission, in photons pe..
In 1956, Frank Lloyd Wright proposed the construction of a mile-high building in Chicago. find the change in your weight if you were to ride an elevator from the street level, where you weigh 810 N, to the top of the building
The threshold or cut-off frequency for sodium is 4,40x10 14 hz. Calculate the wave length of the electrons ejected from the surface
The calorimeter is constructed of a material that has a specific heat of 0.10 cal/ g. ^{circ}C. When equilibrium is reached, what will be the final temperature.
One mole of a dilute gas initially has a pressure equal to 1.00 atm, and a volume equal to 13.0 L and an internal energy of 1.98 kJ. As the gas is slowly heated, Find the heat absorbed by the gas
Find out the shear strain that results if a force of magnitude 5.00×105 is applied to the top square face of the plate, parallel to the side, and a force of equal magnitude is applied in the opposite direction to the bottom face of the plate as s..
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