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Picture yourself in the castle of Helm’s Deep from the Lord of the Rings. You are on top of the castle wall and are dropping rocks on assorted monsters that are 16.15 m below you. Just when you release a rock, an archer located exactly below you shoots an arrow straight up toward you with an initial velocity of 47.9 m/s. The arrow hits the rock in midair. How long after you release the rock does this happen?
In a uniform electric field of magnitude E, the field lines cross through a rectangle of area A at an angle of 79.0° with respect to the plane of the rectangle. What is the magnitude of the flux through the rectangle
A current-carrying wire of length 0.5m is at the Equator. Assuming that the magnetic field of the Earth has magnitude of 5 x 10^-5 T, what current is required to allow the wire to be suspended
A crate of mass 9.8 kg is pulled up a rough incline with an initial speed of 1.56 m/s. The pulling force is 102 N parallel to the incline, What is the change in kinetic energy of the crate
An object of mass 3.3 kg is projected into the air at a 55° angle. It hits the ground 3.4 s later. What is its change in momentum while it is in the air
To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and in water. What fraction of the specimen's apparent volume is solid
Two satellites, A and B, are in different circular orbits about the earth. Find the ratio (TA/TB) of the periods of the satellites
n = 3.10 mol of Hydrogen gas is initially at T = 388 K temperature and pi = 1.76×105 Pa pressure. The gas is then reversibly and isothermally compressed until its pressure reaches pf = 7.75×105 Pa. How much heat did the gas emit
A heat pump (a heat engine run backwards) extracts energy from cold air outside (-5.00 degrees celsius), Determine the amount of heat added to the inside air per joule of work done by the motor
What is magnitude of the linear acceleration of the hoop . Elucidate using Newton's Second Law of Motion, why you can throw a golf ball further than a bowling ball, still though you throw both at the similar angle and with the same amount of force.
A hotel elevator ascends 170 m with a maximum speed of 5.9 m/s. Its acceleration and deceleration both have the magnitude of 1.5 m/s2.
Some object moves 100.0 m at an angle of 36° west of south. During this motion, a 92.0 N force acts on the same object, what is this force's orientation
a 1340-kg car has just passed a diner. The closest the car came to the diner was R=16.5m, but the car has driven another x=22.7m in the 2.05 seconds elapsed since then. what is the current magnitude of the anguar momentum of the car
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