Particle C and particle D are held together with a compressed ..?

Question

Particle C and particle D are held together with a compressed spring between them. When they are released, the spring pushes them apart and they then fly off in opposite directions, free of the spring. The mass of C is 2.0 times the mass of D, and the energy stored in the spring was 60J. Assume that the spring has negligible mass and that all its stored energy is transferred to the particles. Once that transfer is complete, what are the kinetic energies of (a) particle C and (b) particle D?
explain your answer pleas.

Answer 1

each of the particles would have 1/2 the energy of the spring, 30 j each. They would move at different speeds, c moves slower than d, but energy 1/2 mv^2 would be the same.

Answer 2

4

Answer 3

From conservation of momentum, McVc = MdVd
From conservation of Energy McVc^2 + MdVd^2 = 120
Mc = 2Md
2MdVc = MdVd
2MdVc^2 + MdVd^2 = 120
Vc = Vd/2
(2/4)MdVd^2 + MdVd^2 = 120
(3/2)MdVd^2 = 120
(1/2)MdVd^2 = 40
but Ed = (1/2)MdVd^2, so
Ed = 40 J
Ec = 20J

Answer 4

The spring recoils with equal energy in both directions, imparting equal energy to the objects at both ends.

Hence, kinetic energies of both abjects is same. ie, 30J each irrespective of their masses.

However, velocities will differ

1/2 m1 v1^2 = 1/2 m2 v2^2 = 30 J
since m1= 2 m2,

2 v1^2/ v2^2 = 1
or, 2 v1^2 = v2 ^2
or, v1^2 = v2 ^2/2
or, v1^2 = v2 (1/1.414)

Answer 5

M3/min M3/hr
Volume flow rate measured in cubic meters per minute (or per hour) (099)


Mach number
is the ratio of the actual velocity at a given point to the velocity of sound in the same gas at the conditions existing at this point. These are known as local conditions. (755)


Manifold
Piping of a number of cylinders or tubes into a common inlet or outlet. (0301)


Man way
An inspection cover or port in an air receiver tank. (099)


MAWP
Maximum allowable working pressure. This data is found on the pressure vessel nameplate and is the maximum pressure at which the lowest set safety valve must be set (stamped). (055)


Maximum operating pressure
The highest operating pressure the system or component is designed to withstand. (099)


Mayonnaise
The oily condensate discharged by lubricated air compressors. The name is derived from the appearance of the condensate. Under normal conditions oily condensate should just be cloudy, like a small amount of milk in a bucket of water. When a lubricated compressor goes wrong, then the condensate becomes thick and sticky. In fact almost identical in appearance to the name it has been given. (445)


Mechanical efficiency
The ratio of the indicated power to shaft input. (010)


Media
A mat of fibers that provide a barrier to particles entrained in the flow of air or gas. (070)


Media migration
Carry over of particles or contaminant from the filter or other filter materials into the clean side of the air flow. (070)


Medium
Is singular for media and is the material...paper, wire, cellulose or a combination... from which the filter element is made and which does the actual filtration or separation. (050)


Membrane dryer
Reduce dew point by passing compressed air through a bundle of hollow membrane fibers; water vapor and a portion of the compressed air then permeate the membrane walls and vent to atmosphere (105)


Mesh size
Mesh is the number of openings in a square inch of screen or sieve. It is equal to the square of the number of strands of metal or plastic screening per lineal inch. Standard US mesh screen # 16 equates to a 1.19 millimeter particle diameter, mesh size #40 is 0.42 millimeters.(081)


Micromanometer
An instrument generally suited more to laboratory testing than to field measurements. The micromanometer is difficult to use in the field because of the levering and mounting requirements. Micromanometers are used to measure very low pressures accurately down to plus or minus one thousandth (0.001) inch of water gage. If field measurements below 0.03 in. wg (700 fpm) are required, consider using a 0. to 0.25" inclined manometer, a micromanometer or hot wire anemometer. (0301)


Micron
Micrometer or one millionth of a meter; micron is sometimes represented in filtration by the Greek letter µ (mu). A micron is 0.000039". Contaminant particles are measured by micron size and count. (099)


Micron rating
A measurement applied to filters or filter media to indicate the particle size at which suspended solids above that size will be removed. (081)


Millibar
A unit of atmospheric pressure equal to 1,000 dynes per sq. cm. or about 1/32 in. of mercury. (722)


Mineral oil
The most commonly used lubricating oil for compressors. (099)


MMCFD
Millions of cubic feet per 24 hour. (099)


Modulating control
Compressor controls will run the compressor at varying loads to accommodate demand variations. Running a compressor at less than full load results in a drop in compressor efficiency and thus an increase in operating costs.
(200)


Modulating unload
The air compressor continues to run and air supply is matched to the demand by partial unloading. This can be accomplished by a regulator controlled floating inlet or by step unloading. (020)


Moisture separator
A unit designed to separate condensate from the compressed air stream. (099)


Moisture trap
A device designed to enable accumulated liquids to be held for draining in a compressed air system. (099)


Molecular sieves
A solid adsorbent used for drying compressed air. (see also Mole sieve) (099)


Mole sieve
Short for "molecular sieve," it is a synthetic zeolite adsorbent capable of selectively removing contaminants or separating components of a feed stream. In air separation it is used to remove CO2, water, and hydrocarbons from air. It is used in temperature swing adsorbers (TSA), as well as in pressure-swing adsorbers (PSA).(0301)


Molecular theory
All matter consists of molecules which are in constant motion, but which are held together by molecular forces. In a solid the molecules are closely packed and arranged in such a pattern that the influence of the molecular forces is very strong. This gives the solid its consistency and form. Molecular motion consists largely of oscillations around points of equilibrium. In a liquid the molecules are about as close as in a solid, but they are not arranged in a lattice and the cohesive forces are weaker. The molecules are more mobile in relation to each other, whereby the characteristic liquid phase develops; the liquid accommodated itself to the walls of the containing vessel, and its free surface aligns itself horizontally in response to the force of gravity. In a gas, however, the molecules are farther apart, and they move freely about each other since the molecular forces are not as strong. A gas therefore expands through space and mixes with other gasses present. The total volume of the molecules in a gas is very small in relation to the volume of the gas. A gas can therefore be compressed into a small part of its original volume. (010)


Mottling
In spray painting applications, blotches of metallic or mica particles in a paint film caused by insufficient compressed air (558)


MPCV
Combination minimum pressure valve and check valve. (03012)


MSDS
ACRONYM - MATERIAL SAFETY DATA SHEETS (099)


Multistage axial compressor
A machine having two or more impellers operating in series on a single shaft and in single casing. (060)


Multistage centrifugal compressor
A machine having two or more impellers operating in series on a single shaft and in single casing. (060)


Multistage compressor
A machine employing two or more stages. (060)