by BDanielMayfield » Tue Aug 13, 2019 8:06 pm
neufer wrote: ↑Tue Aug 13, 2019 7:59 pm
Chris Peterson wrote: ↑Tue Aug 13, 2019 7:12 pm
BDanielMayfield wrote: ↑Tue Aug 13, 2019 6:58 pm
The momentum of the "cannonball" is an easy calculation, with the assumption that the projectile is a neutron star. P=mv, so 1.4 sols x 1127 km/s. Converting to SI units gives 1.4 x 2x10^30kg x 1127x1000m/s = 2.25x10^36kg.m/s or
2.25 Billion Quadrillion Newtons.
Except... kg⋅m/s (correct units for momentum) are not newtons (a unit of force, kg⋅m/s
2).
Also...
- 1) You use the non-English "long scale" for Billion Quadrillion.
2) You forgot to multiply by the "1.4" :
1.4 x 2x10
30kg x 1127x1000 m/s = 3.16x10
36kg.m/s = 3.16 million million yottanewton seconds.
https://en.wikipedia.org/wiki/Long_and_short_scales wrote:
Long scale: Every new term greater than million is one million times as large as the previous term. Thus, billion means a million millions (10
12), trillion means a million billions (10
18), and so on. Thus, an n-illion equals 10
6n.
Short scale: Every new term greater than million is one thousand times as large as the previous term. Thus, billion means a thousand millions (10
9), trillion means a thousand billions (10
12), and so on. Thus, an n-illion equals 10
3n + 3.
The short scale is now used in most English-speaking and Arabic-speaking countries, in Brazil and several other countries. For most of the 19th and 20th centuries, the United Kingdom largely used the long scale, whereas the United States used the short scale, so that the two systems were often referred to as British and American in the English language. After several decades of increasing informal British usage of the short scale, in 1974 the government of the UK adopted it, and it is used for all official purposes.
Countries where the long scale is currently used include most countries in continental Europe and most that are French-speaking, Spanish-speaking (except Spanish-speakers born into an English-speaking culture, e.g. Puerto Rico, because of its influence from English-speaking United States) and Portuguese-speaking countries, except Brazil.
To avoid confusion resulting from the coexistence of short and long term in any language, the International System of Units (SI) recommends using the metric prefix to indicate orders of magnitude. As opposed to words like billion and million, metric prefixes keep the same meaning regardless of the country and the language.>>
https://en.wikipedia.org/wiki/Impulse_(physics) wrote:
<<In classical mechanics, impulse (symbolized by J or Imp) is the integral of a force, F, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector in the same direction. Impulse applied to an object produces an equivalent vector change in its linear momentum, also in the same direction. The SI unit of impulse is the newton second (N⋅s), and the dimensionally equivalent unit of momentum is the kilogram meter per second (kg⋅m/s). The corresponding English engineering units are the pound-second (lbf⋅s) and the slug-foot per second (slug⋅ft/s).>>
<<Slug, or land slug, is a common name for any apparently shell-less terrestrial gastropod mollusc. Gastropods typically have a ventral foot, which gives them their name (Greek gaster, stomach, and poda, feet).>>
And thank you also. Even tho I err, in the attempt I learn.
[quote=neufer post_id=294456 time=1565726366 user_id=124483]
[quote="Chris Peterson" post_id=294452 time=1565723526 user_id=117706]
[quote=BDanielMayfield post_id=294451 time=1565722733 user_id=139536]
The momentum of the "cannonball" is an easy calculation, with the assumption that the projectile is a neutron star. P=mv, so 1.4 sols x 1127 km/s. Converting to SI units gives 1.4 x 2x10^30kg x 1127x1000m/s = 2.25x10^36kg.m/s or [b]2.25 Billion Quadrillion Newtons[/b].[/quote]
Except... kg⋅m/s (correct units for momentum) are not newtons (a unit of force, kg⋅m/s[sup]2[/sup]).[/quote]
Also...
[list]1) You use the non-English "long scale" for Billion Quadrillion.
2) You forgot to multiply by the "1.4" :[/list]
1.4 x 2x10[sup]30[/sup]kg x 1127x1000 m/s = 3.16x10[sup]36[/sup]kg.m/s = 3.16 million million yottanewton seconds.
[quote="https://en.wikipedia.org/wiki/Long_and_short_scales"]
Long scale: Every new term greater than million is one million times as large as the previous term. Thus, billion means a million millions (10[sup]12[/sup]), trillion means a million billions (10[sup]18[/sup]), and so on. Thus, an n-illion equals 10[sup]6[/sup]n.
Short scale: Every new term greater than million is one thousand times as large as the previous term. Thus, billion means a thousand millions (10[sup]9[/sup]), trillion means a thousand billions (10[sup]12[/sup]), and so on. Thus, an n-illion equals 10[sup]3n + 3[/sup].
The short scale is now used in most English-speaking and Arabic-speaking countries, in Brazil and several other countries. For most of the 19th and 20th centuries, the United Kingdom largely used the long scale, whereas the United States used the short scale, so that the two systems were often referred to as British and American in the English language. After several decades of increasing informal British usage of the short scale, in 1974 the government of the UK adopted it, and it is used for all official purposes.
Countries where the long scale is currently used include most countries in continental Europe and most that are French-speaking, Spanish-speaking (except Spanish-speakers born into an English-speaking culture, e.g. Puerto Rico, because of its influence from English-speaking United States) and Portuguese-speaking countries, except Brazil.
To avoid confusion resulting from the coexistence of short and long term in any language, the International System of Units (SI) recommends using the metric prefix to indicate orders of magnitude. As opposed to words like billion and million, metric prefixes keep the same meaning regardless of the country and the language.>>[/quote][quote="https://en.wikipedia.org/wiki/Impulse_(physics)"]
[float=left][img3="The Lincoln Imp in the medieval Lincoln Cathedral."]https://upload.wikimedia.org/wikipedia/commons/thumb/7/79/Lincoln_imp.jpg/220px-Lincoln_imp.jpg[/img3][/float]<<In classical mechanics, impulse (symbolized by J or Imp) is the integral of a force, F, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector in the same direction. Impulse applied to an object produces an equivalent vector change in its linear momentum, also in the same direction. The SI unit of impulse is the newton second (N⋅s), and the dimensionally equivalent unit of momentum is the kilogram meter per second (kg⋅m/s). The corresponding English engineering units are the pound-second (lbf⋅s) and the slug-foot per second (slug⋅ft/s).>>
<<Slug, or land slug, is a common name for any apparently shell-less terrestrial gastropod mollusc. Gastropods typically have a ventral foot, which gives them their name (Greek gaster, stomach, and poda, feet).>>[/quote]
[/quote]
And thank you also. Even tho I err, in the attempt I learn.