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A top has a moment of inertia of 2.78 × 10^?4 kg·m^2 and is initially at rest. It is free to rotate about a vertical stationary axis. A string around a peg along the axis of the top is pulled, maintaining a constant tension of 3.71 N in the string. If the string does not slip while it is wound around the peg,
1.) what is the angular speed of the top after 66.9 cm of string has been pulled off the peg? Answer in units of rad/s
2.) What is the angular velocity of the object? Answer in units of rad/s
A wind turbine with a rotor diameter of 50 m is rated at 2500 kW at a hub height wind speed of 10 m/s. Calculate the number of hours per year that the wind is below the cut-in speed
A 300-g block is dropped onto a vertical spring with spring constant k =180.0 N/m. The block becomes attached to the spring, what is the maximum compression of the spring
The specific heat of granite is 0.80 kJ/kg x C. If 106 MJ of heat are added to a 100-kg granite statue of James Prescott Joule that is originally at 18 degrees C
Consider a hot-air balloon. The deflated balloon, gondola, and two passengers have a combined mass of 315 kg, Then find the temperature of the air inside the balloon
A car has 53% of its weight on its front wheels and 47% on its rear wheels, How far from the rear axle is the car's center of gravity
A glass lens (nglass = 1.52) has a 136 nm thick anti-reflective film (nfilm = 1.33) on one side. What is the largest wavelength of the light that is totally removed by the film
A 392\({\rm g}\) oscillator has a speed of 90.5\({\rm cm/s}\) when its displacement is 3.90\({\rm cm}\)and 74.5\({\rm cm/s}\), What is the oscillator's maximum speed
A 190 g block hangs from a spring with spring constant 15 N/m. At t=0s, the block is 13 cm below the equilibrium point and moving upward with a speed of 98.0 cm/s.
A solid disk rotates in the horizontal plane at an angular velocity of 0.049 rad/s with respect to an axis perpendicular to the disk at its center. what is the angular velocity of the disk
A car travels along a straight line at a constant speed of 58.5 mi/h for a distance d and then another distance d in the same direction at another constant speed. What is the average speed for this new trip
At one instant a bicyclist is 75m due east of a park's flagpole, going due south with a speed of 13.0 m/s. Then, 10s later, the cyclist is 65 m due north of flagpole, going due east with a speed of 20.0 m/s.
so hydrogen atoms have a thermal velocity of about 1000 m/s. How does the energy stored in the magnetic field compare with the kinetic energy in a given volume of space.
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