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A catapult on a cliff launches a large round rock towards a ship on the ocean below. The rock leaves the catapult from a height H of 32.0 m above sea level, directed at an angle θ above the horizontal by an unknown speed v0.
The projectile remains in flight for 6.00 seconds and travels a horizontal distance D of 142.0 m. assuming that air friction can be neglected, calculate the value of the angle θ.
Compute the speed at which the rock is launched.
To what height above sea level does the rock rise?
a 3 kg cart moves on an air track at 1.2 m/s. It collides with and sticks to another cart of mass 5 kg, What is the velocity of the combined cart after collision
An ideal gas at 14.5 °C and a pressure of 1.10 x 105Pa occupies a volume of 4.17 m3. what will be the pressure of the gas
The sun's intensity at the distance of the earth is 1370 W/m2. 30% of this energy is reflected by water and clouds; 70% is absorbed. What would be the earth's average temperature (in ?C) if the earth had no atmosphere
Four charged particles rest at the corners of a square of side a = 0.30 m. Charges 1 through 4 are 10, 20, 30 and 40 µC, Determine the electric field at the center of the square
The Burj Khalifa in Dubai is the world\'s tallest building. The structure is 828 m (2,716.5 feet) and has more than 160 stories. how high is the hotel room from the ground
A small bulb is rated at 7.5 W when operated at 125 V. The tungsten filament has a temperature coefficient of resistivity a = 4.5 ? 10-3 / °C. What is the resistance of the filament (in ohms) at room temperature
A particle with a mass of 2.00 x 10^-16 kg and a charge of 30.0 nC starts from rest, is accelerated with a strong electric field, and is fired from a small source inside a region of uniform constant magnetic field 0.600 T. The velocity of the particl..
Each side of an equilateral triangular plate has a length of 1.192 m. Find the distance of the plate's center of mass from the center of one side of the plate.
A stretched string of length L is plucked at a position L/5 by producing an initial displacement h and then releasing the string. Find the amplitudes for the fundamental and the first three harmonics.
A wire of resistance 9.0 is connected to a battery whose emf script e is 5.0 V and whose internal resistance is 1.0. How much energy appears in the wire as thermal energy in that time
Someone is pulling a suitcase through an airport at constant speed. The handle of the suitcase makes an angle of 55 degree with the horizontal. what is the pulling force being exerted by the person parallel to the handle
You run a microwave for 6 minutes together with a 1500 W boom-box and a 2800 W space heater. What is the power of your microwave
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