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A set of 57 playing cards of length L = 15 cm are stacked on theedge of a table so that the length of the overhang of the top cardwith respect to the table is maximized. A stack of only 6 suchcards is illustrated.
a) What is the overhang distance of the tip of the top card?b) How many cards are needed to extend the total overhang of thetop card to at least 28 cm?c) What is the offest distance between cards 27 and 28, assumingthat the top card is number 1?
Suppose the traffic light is hung so that the tensions T1 and T2 are both equal to 84.7 N. Find the new angles they make regarding the x axis. (By symmetry, these angles would be the same.)
A clock has a pendulum that performs one full swing every 1.5 s (back and forth). What is the length of the pendulum
NASA sends satellites to Mars by placing the satellite in a Keplerian orbit (around the sun) such that the perihelion is at the radius of the Earth's orbit, Calculate the time it takes the satellite to travel from Earth to Mars
A small button placed on a horizontal rotating platform withdiameter 0.310 m will revolve with theplatform when it is brought up to a speed of 35.0 rev/min, provided the button is no more than0.128 m from the axis.
You are standing on a scale inside an elevator. The scale reads 112 percent of your weight. What is the acceleration of the elevator
An airplane is flying with a velocity of 81.0 m/s at an angle of 24.0^circ above the horizontal. When the plane is a distance 108m directly above a dog that is standing on level ground, a suitcase drops out of the luggage compartment.
A city employee wanted to measure the height of a tall tree. The employee stood 9.50 m from the base of the tree; and he saw that his line of sight made an angle of 65.2 degrees above the horizon,
A motorboat heads due east at 11.00 m/s across a river that flows toward the south at a speed of 3.40 m/s. What is the resultant velocity relative to an observer on the shore? If the river is 1360m wide, how long does take the boat to cross.
You've taken your neighbor's young child to the carnival to ride the rides. She wants to ride The Rocket. Eight rocket-shaped cars hang by chains from the outside edge of a large steel disk. What is the car's speed
The system pictured below consists of two blocks of mass m connected via springs to two walls. The springs all have spring constant k. Write the equations of motion for this system. Use as your variables the displacement of each block from its res..
A very powerful vacuum cleaner has a hose 3.00 cm in diameter. With the end of the hose placed perpendicularly on the flat face of a brick, what is the weight of the heaviest brick
A sled is dragged along a horizontal path at a constant speed of 1.5 m/s by a rope that is inclined at an angle of 30.0° with respect to the horizontal, How much work is done by the rope on the sled
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