Physics Homework Solutions

Physics Pulley system: relate accelerations to angular acceration of the disk

A disk of mass M and radius R unwinds from a tape wrapped around it. The tape passes over a frictionless pulley, and a mass m is suspended from the other end. Assume that the disk drops vertically. a) Relate the accelerations of m and the disk, a and A, respectively to the angular acceration of the disk. Ans clue- If A w ...continues

Physics: Calculate the beat frequency in organ pipes.

Two pipes, equal in length, are each open at one end. Each has a fundamental frequency of 479 Hz at 18 C. In one pipe the air temperature is increased to 21 C. If the two pipes are sounded together, what beat frequency results?

Physics: Distance from a microphone for underwater sound waves for porpoises

A microphone in the ocean is sensitive to sounds emitted by porpoises. To produce a usable signal, sound waves striking the microphone must have an intensity of 10.7 dB. If porpoises emit sound waves with a power of 0.0491 W, how far can a porpoise be from the microphone and still be heard? Disregard absorption of sound waves by ...continues

Physics: Calculate a planet's interior gravity field.

Assume a spherical, uniform planet with mass M and a radius R. a) Develop a relationship which will the give the gravity field of a planet at any point beneath its surface which is distance r from the center. b) Use the mass and radius of the earth to find the earth's field at a point halfway to the surface.

Gravity Work required to move a mass radially outward from the c.m. of a planet

See attachment #1 for diagram showing parameters. A uniform spherical planet has mass M= 8.5 E 25 kg and radius R= 7.5 E 6 m. A hole is drilled from the surface to mass m= 360 kg at an initial position r1= 2.5 E 6 m from the center. PART a. Find the initial gravity force F that the planet exerts on mass m. PART b. F ...continues

Physics: Satellite in circular orbit around Earth; Find period, speed, height

An observation satellite whose mass m= 4800 kg is to be put into a circular orbit around the earth at a height h= 322000 m above the surface in a precise north-south orbit. See attachment #1. PART a. In this orbit, find the force of gravity exerted by the earth on the satellite. PART b. Find the speed, v, and the period, T, ...continues

Physics: A cube suspended in water by a cord; find mass and force

A cube of aluminum, whose volume is Va= .125 m^3, and whose density is Da= 2700 kg/m^3 is suspended from a cord which holds it stationary with the top surface horizontal and h= 2.2 m below the surface of fresh water. See attachment #1 showing known parameters. PART a. Find the mass of the aluminum. PART b. Find C, the force ...continues

Archimedes Principle for a block in liquid: find density of block and liquid

See attachment #1 for diagram showing parameters. A solid block of mass M= 21 kg floats with 80% if its volume submerged in carbon tetrachloride, whose density is Dc= 1600 kg/m^3. When this block is submerged in liquid X however, it requires an upward pull by a cord of F= 72 newtons to hold it stationary, completely submerg ...continues

Friction: Determine magnitude and direction of force P to start the block up the plane.

See the attached drawing file. The asking problem: A block of weight W=60 lb rests on a rough plane as shown. Knowing that "alpha"= 20° and Us (coefficient of static friction) = 0.30, determine the magnitude and direction of the smallest force P required to start the block up the plane. The answer of this problem for v ...continues

Archimedes Principle: An object, part aluminum, part wood, floats in water.

See attached file. Two blocks are cemented together top to bottom and the whole object is placed in water. Known values are the density of the wood Dw= .650 kg/m^3, of aluminum Da = 2700 kg/m^3, and of water Dliq= 1000 kg/m^3. See attachment #1 for diagram, (not to scale). PART a. If the object barely floats, with the top ...continues

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