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As a helicopter carrying a crate takes off, its vertical position (as well as the crate's) is given as: y(t) = At^3 where A is a constant and t is time with t = 0 corresponding to when it leaves the ground. When the helicopter reaches a height of 15.0 m a crate falls from the underside of the aircraft. From the time the crate leaves the helicopter to the time it hits the ground, 3.5 seconds pass. Calculate A.
a hole punch has a diamter of 8.0 mm and presses onto ten sheets of paper with a force of 6.7 kN, If each sheet of paper is of thickness .20 mm, what is the shear stress
shallow glass dish whose width w is 4.40 cm. When an observer's eye is placed as shown, the observer sees the edge of the bottom of the empty dish, Find the height h of the dish
two 80.0 kg astronauts are floating in outer space. if they are 10.0 m apart, what is the gravitational attraction between them
on a frozen pond a 10kg sled is given a kick that imparts to it an intial speed of v0 2.0ms. the coefficient of the
If you bring a negatively charged insulator near two uncharged metallic spheres that are in contact and then separate the spheres, what will be the charge of the right sphere
A step-up transformer for long-range transmission of electric power is used to create a potential difference of 1.0921 x 10^5 V across the secondary. How many turns are in the primary
A cylinder contains 2.25 mol of helium gas at 21.0°C. Assume that the helium behaves like an ideal gas. What is the average kinetic energy per molecule
A beam contains 3.0 x 106 doubly charged positive ionsper cubic centimeter, all of which are moving north with a speed of5.4 x 105 m/s. What is the magnitude of the currentdensity?
Suppose that earth grew to its present size in 10 million yearsthrough the accretion of particles averaging 100 g each. On theaverage, how many particles did did earth capture per second
A college professor keeps 0.25 L (0.00025 m^3) of hot coffee in a thick styrofoam container. at what rate is heat flowing out through the walls of the container
A roller coaster (482 kg) moves from A (3.63 m above the ground) to B (28.6 m above the ground). What is the change in the car's kinetic energy KEf - KEo from A to B
A uniform door weighs 50-N and is 1.0 m wide and 2.70m high. What is the magnitude of the torque because of the door's own weight about a horizontal axis perpendicular to the door and passing through a corner.
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