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Five point masses m1 through m5 are located at the vertices and the centre (the intersection of the diagonals) of a rectangle of length 10 m and width 6 m, as shown. The point F is midway between A and C and the point E is at the intersection of the diagonals of the rectangle. Imagine the masses to be connected by thin massless rods so that the system can rotate as one unit. Find the moment of inertia of the system for rotation about an axis perpendicular to the paper and (a) passing through A (b) passing through F & (c) passing through D.
a tortoise and hare start from rest and have a race. as the race begins both accelerate forward. the hare accelerates
At a factory, a noon whistle is sounding with a frequency of 480-Hz. As a car travelling at 79 km/h approaches the factory, the driver hears the whistle at frequency fi. After driving past the factory.
When high-energy, charged particles move through a transparent medium with a speed greater than the speed of light in that medium, a shock wave, or bow wave, of light is produced. Calculate the speed of the electrons in the water
During a day time football game you notice that a player's reflective helmet forms an image of the sun 3.2 cm behind the surface of the helmet
Water in a rotating container of radius 50mm is 30 mm lower in the center than at the edge. Find the angular velocity of the container
A Hooke's-law spring of spring constant 4900 N/m is compressed by 0.02 m. How high does the bullet go
An object with mass m = 1.1 g and charge q is placed at point A, which is 0.05 m above an infinitely large, uniformly charged, nonconducting sheet (? = -5.4 10-5 C/m2), as shown in the figure. Gravity is acting downward (g = 9.81 m/s2). Determine the..
The bullet remains in the block, and after the impact the block lands d = 1.5 m from the bottom of the table. Evaluate the initial speed of the bullet.
A 10-kg block starts from rest on an incline. After 1 second the block travels at 12 m/s 1 meter down the incline. What is the theta, the angle of the incline
A block is released from rest on an inclined plane and moves 3.1 m during the next 3.9 s. What is the coefficient of kinetic friction k for the incline
During a week of study, a 9.0 acre pond receives 65 mm of rain. An adjacent Sunken Colorado pan records an evaporation of 38 mm. What is the net change of water volume in the pond
A hunter aims directly at a target (on the same level) 150 m away. If the bullet leaves the gun at a speed of 240 m/s, by how much will it miss the target
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