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An open tube of length L = 2.07 m and cross-sectional area A = 4.60 cm2 is fixed to the top of a cylindrical barrel of diameter D = 1.14 m and height H = 1.53 m. The barrel and tube are filled with water (to the top of the tube). Calculate the ratio of the hydrostatic force on the bottom of the barrel to the gravitational force on the water contained in the barrel. (You need not consider the atmospheric pressure.)
The Earth is about to be swallowed by a black hole with the mass equal to ten Solar masses. At what distance from the black hole will the Earth be pulled apart by tidal forces - i.e. find the Roche limit for this system.
A 0.359-kg mass is attached to a horizontal spring with k = 108 N/m. The mass slides across a frictionless surface Find the mechanical energy of the system
Sound from the siren of an emergency vehicle has a frequency of 750.0 Hz and moves with a velocity of 343.0 m/s. What is the distance from one condensation to the next
A small statue has a height of 3.4 cm and is placed in front of a concave mirror. Find the focal length of the mirror
To measure the static friction coefficient between a 4.33-kg block and a vertical wall, the setup shown in the drawing is used. A spring (spring constant = 461 N/m) is attached to the block.
Monochromatic light falling on two slits 1.5×10?2mm apart produces the fifth-order fringe at an 8.9?angle.
find the period of this oscillation.
Cyclotrons are often used to bombard Oxygen-18 with a proton to create Fluorine-18. Estimate the final velocity of the proton
A catapult with a radial arm 4.19 m long accelerates a ball of mass 19.1 kg through a quarter circle. The ball leaves the apparatus at 41.6 m/s. Find the moment of inertia of the arm and ball
A muon is a lepton that is a higher-mass (rest mass 105 MeV/c^2) sibling to the electron. How many muons survive to reach the surface
A track is mounted on a large wheel that is free to turn with negligible friction about a vertical axis. What is the angular speed of the wheel
a billiard ball strikes and rebounds from the cushion of a pool table perpendicularly. the mass of the ball is 0.38 kg.
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