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A dead tree is initially stationary and there is a 30.0-degree angle between the tree and the vertical. The roots finally give way and the tree topples to the ground (rotating on an axis that is parallel to the level ground and intersecting the base of the tree perpendicularly through the base of the tree. The length of the tree is 30.0 m. How fast is the top of the tree moving (in m/s) just before it hits the ground? Model the tree as straight, rigid rod, and ignore friction and air resistance.
What is Lagrangian for the system
A small ball of mass 50 g is suspended from a string of length 66-cm and whirled in a circle lying in the horizontal plane. If the string makes an angle of 21? with the vertical, find the centripetal force experienced by ball. The acceleration of ..
A pitcher throws a fastball horizontally at a speed of 150 km/h toward home plate, 18.4m away. If the batters combined reaction and swing times total 0.37s, how long can batter watch the ball after it has left the pitcher's hand before swinging? In t..
A piston, A, as shown below, has a diameter of 0.61 cm. A second piston, B has a diameter of 3.7 cm. Determine the force, F, necessary to support 500.0 N weight in the absence of friction.
Inversely proportional to the square of the fields
As part of a safety investigation, two 1900 cars traveling at 23 are crashed into different barriers. Find the average forces exerted on (a) car that hits a line of water barrels and takes 1.5 to stop, and (b) car that hits a concrete barrier and ta..
A krypton laser produces a cylindrical red laser beam 3mm in diameter with 4W of power. What is the light intensity on a wall 5.0 m away from the laser.
On planet Tehar, the free-fall acceleration is the identical as that on Earth, but there is also a strong downward electric field that is uniform close to the planet's surface.
A box slides down a 36° ramp with an acceleration of 1.26 m/s2. find the coefficient of kinetic friction between the box and the ramp.
The rock strikes the ground a horizontal distance of 44 m from the base of the building. Assume that the ground is level and that the side of the building is vertical. How long did the rock take to hit the ground? Give your answer in seconds to two d..
What is the current in the circuit when all six lamps and the heater are turned on? If the circuit has a fuse which will melt if the current exceeds 12 A, will fuse melt.
What is the total negative charge, in coulombs, of all the electrons in a small 1.05g sphere of carbon? One mole of C is 12.0g, and each atom contains 6 protons and 6 electrons.
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