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A cubical block of side length L has a density Dc and floats in a liquid of density Dl with a small part of the block above the liquid's surface. Please derive the following in terms of these parameters and constants:
a) Determine the fraction of the volume of the block that is below the liquid's surface.
b) The block is now pushed downward with a small displacement x and released from rest. Show that the resulting motion of the block is simple harmonic and determine the period of oscillation.
An unlikely weapon was once proposed which had all of the people in China to jump up and down simultaneously. Calculate what the speed of the Earth and the people would be after the collision
A stamp collector is viewing a stamp with a magnifying glass held next to her eye. Her near point is 25 cm from her eye. What is the angular magnification when the image of the stamp is 39 cm from the eye
A circuit consists of a resistor in series with an inductor and an ac generator that supplies a voltage of 115 V. Find the average power delivered in the circuit
The three-toed sloth is the slowest moving land mammal. On the ground, the sloth moves at an average speed of 0.035 m/s, how much further would the tortoise have gone relative to the sloth
A car goes around a curve on a road that is banked at an angle of 35.0^\circ. What is radius of curve
A stiff, 15cm -long tube with an inner diameter of 2.5mm is attached to a small hole in the side of a tall beaker. What is the volume flow rate through the tube
A long transmission wire carries an AC current given by I=400 sin(120pi*t). The transmission wire is parallel to the x-axis and located at y=0, z=20. What will be the induced voltage in the loop
A metal bar with a resistance of 30 ohms is rotated around its center in a magnetic field of strength 0.5 T, what is the electrical power dissipated in the resistor
What is the lenght of the driveway. An electric field = (89000 N/C, right) causes the ball in the figure below to hang at a 20° angle. The ball's mass is 4.7 g. What is the charge on ball.
A flywheel with a radius of 0.310m starts from rest and accelerates with a constant angular acceleration of 0.660rad/s2, Compute the magnitude of the tangential acceleration
A parallel-plate capacitor in air has a plate separation of 1.42 cm and a plate area of 25.0 cm2. What is the change in energy of the capacitor
A 1.0mm -diameter, 40cm -long copper wire carries a 3.5A current, What is the potential difference between the ends of the wire
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