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Find the x- and y-coordinates of the center of gravity of a 4.00 ft by 8.00 ft uniform sheet of plywood with the upper right quadrant removed as shown in the figure below. The dimensions of the cutout are a = 4.10 ft and b = 2.10 ft. HINTS: Think of the board as consisting of two rectangular pieces: one piece that is everything to the left of "a", and one rectangle that is everything to the right of "a". Find the x,y location of the centers of gravity of these two rectangles. Then, find the final center of gravity of two "point masses" at those locations. This will be the center of gravity of the board.
A gold prospector finds a solid rock that is composed solely of quartz and gold. The mass and volume of the rock are, Find the mass of the gold in the rock
A current of 0.307 A through your chest can send your heart into fibrillation, ruining the normal rhythm of heartbeat and disrupting the flow of blood (and thus oxygen) to your brain.
Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angle of 27.0° above the horizontal. What is the magnitude of the net torque exerted on the branch by the children
A satellite circles a spherical planet of unknown mass in a circular orbit of radius 1.9 x 10^7 m. What would be the magnitude of the gravitational force exerted on the satellite by the planet if the radius of the orbit were increased to 3.6 x 10^7..
A wheel of radius 0.6 m starts from rest and accelerates without slipping with an angular acceleration of 2.0 rad/sec^2 for 10 s. what is its final linear velocity
A gas is contained in a vertical, frictionless piston-cylinder device. The piston has a mass of 4 kg and a cross-sectional area of 40 cm2. Determine the pressure inside the cylinder
A water pump lifts water from a well depth of 30 to the ground level. How much work does the pump do by moving 2 m^3 of water
A neutral pie-meson is particle that can be created by accelerator beams. what is its velocity relative to the laboratory
A compact disk spins with angular velocity 40.8rad/s. The player is turned off, and 2.10s later the CD has stopped. Find its average angular acceleration
A 75 kg bobsled is pushed along a horizontal surface by two athletes. After 4.5 m from rest, the bobsled has a speed of 6.0 m/s. How much force did the two athletes push with
Two vehicles, A and B, approach a right angle intersection and then collide. After the collision, they become entangled. Find the final velocity of the wreck
A ball with a mass of 0.620 kg is initially at rest. It is struck by a second ball having a mass of 0.370 kg, find the change in the total kinetic energy of the two balls
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