Conservation Of Mass and Energy - Mass can’t be created or destroyed but can be converted into energy according to the formula

Mass (kg) to Energy (J) Equation

 

 

E

=

m

 c2

Units (J)

 

(Kg)

m/s

 

c - speed of light = 3.00 x 108 m/s

Ex) How much energy would you get if you converted 2.0 Kg to energy?

E

=

m

c2

Units (J)

 

(Kg)

m/s

 

E = 2.0Kg(3.00 x 108 m/s)2

 

 E = 1.8 x 1017 Joules

 

Finding the energy that can be obtained from the conversion of 1 proton (1 universal mass unit)

 

mass of a proton = 1.67 x 10-27 Kg
(p. 1 reference)

 

Plug into equation E= mc2

 

E = (1.67 X 10-27 Kg)(3 x 108 m/s)2

        = 1.5 x 10-10 Joules

Convert to eV:

        1 eV = 1.6 x 10 -19 Joules

E = 1.5 x 10-10 Joules/1.6 x 10 -19 J/eV Joules

 = 9.31 x 102 Mev or 931 MeV ***

To convert universal mass units to energy in MeV

1 proton (universal mass unit) converts to
9.31 x 102 Mev
or 931 MeV

p. 1 Reference

page 1 Reference (Mass/Energy Relationship)

Typical Regents Question - How much energy can be generated when 2 universal mass units are completely converted into energy?
 

Answer: 1862 MeV
(each universal mass unit converted produces 931 MeV)

 

Forces inside nucleus

1) Strong nuclear force
(AKA strong force) - holds nucleus together - very strong, short range

 

• operates at distance < 10-13 m

 

A) Binding Energy - amount of energy needed to separate nucleons (protons and neutrons) in nucleus.

 

Protons and neutrons in nucleus weigh slightly less than free neutrons and protons


Mass of Assembled Nucleus < Combined mass of an equivalent # of nucleons.


Lost mass called mass defect -

 

**Mass Defect
= binding energy **
(mass lost is converted to energy)

If the mass defect is .1 universal mass units then the binding energy =

 

p. 1 Reference

Universal mass unit converts to

9.31 x 102 Mev

 

 

Answer: 9.31 x 101 Mev

This movie is part of the collection: Prelinger Archives

Producer: Sutherland (John) Productions
Sponsor: General Electric Company
Audio/Visual: Sd, C
Keywords: Atomic-nuclear: Energy; Physics; Animation

Creative Commons license: Public Domain

 

 

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