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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.
a child swings a mass on a string in a horizontal circle 1.2 meter off the ground. The string has a length of 0.6 meters, how far will the mass travel before it lands
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Two cylindrical bars, each with diameter of 2.30 cm, are welded together end to end. One of the original bars is copper and is 0.350 m long
The earth's magnetic field, with a magnetic dipole moment of 8.0×1022A?m2 , is generated by currents within the molten iron of the earth's outer core. What is the current in the current loop
Calculate the period of a satellite orbiting the Moon, 94km above the Moon's surface. Ignore effects of the Earth
A long rod, insulated to prevent heat loss along its sides, is in perfect thermal contact with boiling water (at atmospheric pressure) at one end and with an ice-water mixture at the other.
A long, straight wire carries a current of 48.9 A. The magnetic field produced by this current at a certain point is 7.80E-5 T. How far is the point from the wire
Four Identical masses of 500.0g are placed at the corners of a square, distance 0.50 m apart. Find the magnitude of net gravitational force exerted by three masses
A gremlin is a tiny mythical creature often blamed for mechanical failures. Suppose for a moment that a shrewd physicist catches one such gremlin and makes it work for her instead of against her.
In a pool game, the cue ball, which has an initial speed of 8 m/s, make an elastic collision with the eight ball, which is initially at rest. Find the direction of motion of the cue ball after the collision
A cup with mass 4.1 kg has been sitting in a room with a temperature of 23 oC for a long time. Calculate the specific heat of the cup
61 L of a gas at standard temperature (273K) and pressure (101,481 atm) is compressed to 33L. What is the new pressure of the gas
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