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A certain mass, when hung from a certain spring, causes the spring to stretch by an amount h compared to itsequilibrium length. If the mass is displaced vertically from thisequilibrium, it will oscillate up and down with aperiod Tosc. Find the period of vertical oscillations of the mass m. The spring, pulley, and ropes have negligible mass.
A pilot flying a constant 215 km/h horizontally in a low-flying helicopter, At what angle (to the horizontal) should the car be in his sights
A transformer is designed to step down the 209 volts to 30 volts. If there are 446 turns on the input coil, how many turns should there be on the output coil
A 19 g piece of Styrofoam carries a net charge of -8.5 µC, What is the charge per unit area on the plastic sheet
Consider a closed triangular box resting within a horizontal electric field of magnitude E = 8.24 104 N/C. Calculate the electric flux through the vertical rectangular surface of the box.
There is strong evidence that the center of the Milky Way galaxy contains a giant black hole with a mass of perhaps one million Suns. find the maximum radius of a million-solar-mass black hole
A bullet of mass 0.0022 kg initially moving at 503 m/s embeds itself in a large fixed piece of wood and travels 0.71 m before coming to rest. Assume that the acceleration of the bullet is constant.
Three moles of nitrogen gas, N2, at 27.0°C are contained in a 25.8 L cylinder. Find the pressure the gas exertson the cylinder walls
The second hand of a large grandfather clock has length 20 cm, very small width and depth, and a mass of 100g. What is the second hand's kinetic energy
2.85 moles of nitrogen at a temperature of 205 degree celsius are confined to a rigid whose volume is 3.50L. What is the new temperature of the gas
Two negative charges, Q = -30 \mu C are placed on the x-axis at x = +0.25 m and x = -0.25 m. How much energy does it take to assemble these two charges
A disk-shaped merry-go-round of radius 2.03m and mass 185kg rotates freely with an angular speed of 0.671rev/s. What is the final angular speed of the merry-go-round
A 400kg bead slides on a curve frictionless wire, startingfrom rest at point A. Find the distance the ball rises asit moves up the wire
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