# AP Physics 2: 1.4 Object Interaction and Forces

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AP Physics 2: 1.4 Object Interaction and Forces. What is the approximate value of nickel-62's binding energy per nucleon?

AP | AP Physics 2 |

AP Physics 2 | Object Interaction and Forces |

Language | English Language |

Science Practice 2 | Using math appropriately |

Test Prep | AP Physics 2 |

### Transcript

the top two contenders while it's true that iron 56 has the lowest mass per [Iron 56 and nickel 62 in a boxing ring]

nucleon nickel 62 with the highest value of binding energy per nucleon of any

nuclei has ultimately been declared the winner well given that the mass of a

nucleus is 61 point 9 13 you what is the approximate value of nickel 62 s binding

energy per nucleon and more essential answers....

alright well we know that particles with like charges repel each other but in an [Particles with positive charge]

atom's nucleus there are protons which all have a positive charge and neutrons

well which don't have any charge why are they all together it's because of the

strong force that's what binds nucleons and allows all the different elements in

the universe to form without the strong force there would only be hydrogen atoms [Hydrogen atoms at a bar]

which would make the universe pretty boring in order to hold the particles

together the strong force converts some of the mass of the nucleons into energy

well this means that the actual mass of the nucleus is less than the total mass

of the nucleons the difference between the expected mass and the real mass is

called the mass defect enough that we're saying nuclear defective it's nothing [Atoms appear angry on side street]

personal Einstein gave us the equation to calculate how much energy is created

by this loss of mass and yet it's the most famous equation in the world e

equals MC squared it means that energy equals mass times the speed of light

squared so it doesn't take much mass to create a whole lot of energy to answer [Dynamite explodes on road]

this question first we need to figure out how much mass is missing well nickel

has an atomic number of 28 meaning there are 28 protons in [Nickel electron shells appear]

each proton has a mass of 1.00 732 atomic mass units well since this

isotope has a mass number of 62 we can find the number of neutrons by

subtracting the protons from the mass number well neutrons are just a little [Neutron appears]

bit chubbier than their proton cousins they have a mass of 1.00 867 you /

neutron so they add up to 34.295 you got it all right when we add the

protons and neutrons we find an expected mass of 62.5 you to find the mass defect

we just subtract the actual mass from the expected mask that now we can

convert the mass to energy one atomic mass unit equals 931 mega electron volts [Atomic mass unit appears]

we multiply the mass defect by 931 math to find a binding energy of 540 9.29 med

alright well now let's take a look back at the question because by now we've [Man looking through paper]

pretty much forgotten why we're doing all this oh yeah we need to find the

binding energy per nucleon well there are 62 nucleons so we divide the binding

energy by that number the binding energy per nucleon is about 8.9 mega electron [Binding energy equation appears]

volts so the correct answer is B the strong force only acts on a very tiny

scale that it's the strongest force in the universe which makes sense as we saw

here a tiny amount of mass creates a large amount of energy and the strong

force is able to completely overcome the electromagnetic force that pushes the

protons away from each other and remember that violence is never the [Man trying to open snack pack]

answer unless our snack won't open then we might just lose it