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A uniform rope of mass m and length L hangs from a ceiling. (a) Show that the speed of a transverse wave on the rope is a function of y, the distance from the lower end, and is given by v = √(gy). (b) Show that the time a transverse wave takes to travel the length of the rope is given by t=2√(L/g).
A cannon fires a cannonball from the top of a wall at a speed of 91.05 m/s and an angle of 31.18 degrees from the horizontal. What is the horizontal distance from the wall where the fired cannonball hits the ground
The train comes to a stop 6m from the point at which it was released. What is the magnitude of train's acceleration after its wheel begins to stick.
An electric fan is running on HIGH. After the LOW button is pressed, the angular speed of the fan decreases to 85.0 rad/s in 1.76 s. Determine the initial angular speed of the fan
A dog running in an open field has components of velocity v_x = 3.0 m/s and v_y = -1.2 m/s at time t_1 = 11.4 s. For the time interval from t_1 = 11.4 s to t_2 = 24.7 s, What is the magnitude of the dog's velocity
Consider a 0.417-kg apple attached to a tree. Does the apple exert a gravitational force on the Earth? If so, what is the magnitude of this force
A uniform disk with a mass of 885 g and radius 17.0 cm is rotating on frictionless bearings with an rotational speed of 18.0 Hz when Jill drops a 145-g clod of clay on a point 8.40 cm from the center of the disk, where it sticks. What is the new rota..
A four-cylinder gasoline has an efficiency of 0.25 and delivers 180J of work per cycle per cylinder. The engine fires at 25 cycles per second. What is the total heat input per second form the gasoline
Compute the final equilibrium temperature.
A garden hose having an internal diameter of 0.750 in. ( 1.9050 cm ) is connected to a lawn sprinkler that consists merely of an enclosure with 27 holes, each 0.050 in. ( 0.1270 cm ) in diameter. at what speed does it leave the sprinkler holes
A uniform cylinder of mass m=8.26 kg and radius R=0.147 m is released from rest on an inclined plane (theta=42.4 deg), What is the magnitude of the angular velocity just before the cylinder reaches the horizontal surface
The outer edge of the grooved area of a long-playing record is at a radial distance 35 cm from the center; What is the radial speed of the needle
A cylindrical vessel 16 feet in diameter and 15 in height is constructed to withstand a maximum internalpressure of 500 psia. What is the maximum weight of nitrogen
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