1) In any collision the momentum is conserved
(2*m)*(vo) + (m)*(-2*vo) = (2*m)(v1') + (m)(v2')
candel all the m factors (because they appear in all the terms on both sides of the equation)
2(vo) - 2(vo) = 2(v1') + (v2') => 2(v1') + v(2') = 0 => (v2') = - 2(v1')
2) Elastic collision => conservation of energy
=> [1/2] (2*m) (vo)^2 + [1/2](m)*(2*vo)^2 = [1/2](2*m)(v1')^2 + [1/2](m)(v2')^2
cancel all the 1/2 and m factors =>
2(vo)^2 + 4(vo)^2 = 2(v1')^2 + (v2')^2 =>
4(vo)^2 = 2(v1')^2 + (v2')^2
now replace (v2') = -2(v1')
=> 4(vo)^2 = 2(v1')^2 + [-2(v1')]^2 = 2(v1')^2 + 4(v1')^2 = 6(v1')^2 =>
(v1')^2 = [4/6] (vo)^2 =>
(v1')^2 = [2/3] (vo)^2 =>
(v1') = [√(2/3)]*(vo)
Answer: (v1') = [√(2/3)]*(vo)
Time , Work, Horsepower
Explanation:
In General, Power is defined as rate of doing work in physics.
1.) By work and Time, we can calculate power as follows,
Power = Work done per unit Time
= Work done / time
2.) From Horsepower we can directly get the power.
Horsepower (hp) is a unit to measure the power, or the rate at which work is done, usually in the output of engines or motors. There are many types of horsepower. Two common ways of defining horsepower is being used today are the mechanical horsepower (or imperial horsepower), which is about 745.7 watts, and the metric horsepower, which is approximately 735.5 watts.
Well, that's easy to answer when we realize that "First Quarter" isn't talking about a 'quarter' of the Moon being illuminated. It's talking about a 'quarter' of the time that the complete cycle of phases takes.
"First quarter" means that 1/4 of the time from one New Moon to the next one has passed, and there are 3/4 of the cycle left until the next New Moon.
-- roughly 3/4 of a month to go
-- roughly 3 weeks to go
-- actually 3/4 of (29.531 days)
-- actually 22 days 3.6 hours until the instant of the next New Moon.
But Haley doesn't actually need to wait that long. You can't see the moon in the sky for 1-2 days before the New Moon and 1-2 days after it. So Haley really only has to wait like 20 days until there's no moon in the sky to interfere with her observations.
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Did you notice what I noticed ?
What if Haley stays interested in Astronomy for many years, gets really serious about doing observations regularly, and one day she discovers a comet ! These days, comets are named for their discoverers, so if that happened, we would have TWO of um !
Answer:<span>222.86 g/inch</span>
The density is count by dividing mass by volume. In this case, the volume is changed from cm3 into cubic inch. First, you need to convert cm3 to cubic inch, which was 1cm3= 0.0610237 cubic inch.
Then the calculation will be 13.6g/0.0610237 cubic inch= 222.864231438