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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.)
A 4.30 kg block is pushed along the ceiling with an constant applied force of F = 71.5 N that acts at an angle ? = 65° with the horizontal, as in the figure below. The block accelerates to the right at 6.36 m/s2.
A charge of 50 mC is placed on the y axis at y = 3.0 cm and a 77-mC charge is placed on the x axis at x = 4.0 cm. If both charges are held fixed, what is the magnitude of the initial acceleration of an electron released from rest at the origin?
A parallel-plate capacitor is made from two aluminum-foilsheets, each 4.0 cm wide and 5.00 mlong. What is the capacitance of this capacitor
An air bubble has a volume of 1.25 cm3 when it is released by a submarine 100 m below the surface of a lake. What is the volume of the bubble when it reaches the surface
A beam of unpolarized light in air strikes a flat piece of glass at an angle of incidence 54.2 degrees. what is the index reflection of the glass
on the apollo 14 mission to the moon astronaut alan shepard hit a golf ball with a golf club improvised from a tool.
Two long, straight wires that are suspended from a ceiling. The mass per unit length of each wire is 0.071 kg/m. Each of the four strings suspending the wires has a length of 1.2 m. When the wires carry identical currents in opposite directions, t..
when the voltage is adusted so that the plates are in the same position they would be in when the 50 mg mass is placed
A 768 kg car moving at 27 m/s brakes to a stop. The brakes contain about 16 kg of iron that absorb the energy. What is increase in temperature of the brakes
A tunnel of length L = 146 m, height H = 7.7 m high, and width 5.7 m (with a flat roof) is to be constructed at distance d = 60 m beneath the ground, What is the total weight of the ground material the columns must support
What is the total charge of the thorium nucleus? (The neutral thorium atom has 90 electrons.), What is the magnitude of the force on an electron at that distance
A nearsighted person wears glasses to correct the problem. The lenses in the glasses have a focal length of -520 cm, How far from the eyes is the person's far point located
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