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King Arthur's knights fire a cannon from the top of the castlewall. The cannonball is fired at a speed of 54 m/s and at an angle of 30 °. A second cannonball that was accidentallydropped hits the moat below in 1.3 s. What is the fired ball's maximum height above the ground ? And how far does it go?
the n = 2 state of hydrogen has a lifetime of about 10^-8 sec. Suppose the atom jumps from the n=2 state to the ground state, what is the uncertainty in the energy of the photon that is emitted
A plate carries a charge of -3.9 µC, while a rod carries a charge of +2.2 µC. How many electrons should be transferred from the plate to the rod, so that both objects have the same charge.
1.0 kg of ice at temperature T' = 0 oC is melted into water at the same temperature by placing it in contact with a reservoir at temperature T = 22.1 oC. What is the change in the entropy of the universe to two decimal places
Imagine that a hypothetical life form is discovered on our moon and transported to Earth. calculate the heat lost by each body from the vaporization of sweat
A steel cable with total length 30 m and mass 100 kg is connected to two poles. Calculate the wavelength of the resulting wave on the cable
A car of mass 1290 kg rests on a hydraulic lift with a piston of radius 0.22 m that is connected to a second piston of radius 0.027 m. what is the force at the second piston
Unpolarized light with an intensity of 910 W / m2 is incident on a polarizer with an unknown axis. What is the angle between the axes of the polarizers
A 932 kg rocket is motionless in space. To start moving, its main engine is fired for 7 s, during which time it ejects exhaust gases at 1205 m/s. What is the approximate mass of ejected gas
A converging lens with a focal length of 20cm and a diverging lens with a focal length of -52cm are 92.0cm apart. Calculate the distance between image and diverging lens
the current in a 30 meter wide river is 3 m/s towards the north. If you need to move straight across the river, how far downstream do you reach the shore
At Earth location, the intensity of sunlight is 1.5 kW/m2. by how much would Earth's mass increase in 1 day
Compute the semi major axis of the star orbit
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