Use VFR1 = VFR2 to discover the velocity at in the hose VFR =
A * V
D hose =10 * D nozzle, R hose = 5 * D nozzle
Area of a circle = πR^2
Area h=3.14*25*D^2 = 75.5D^2
(Radius=Diameter/2) area n = 3.14*(D^2/4) = .785D^2
Use VFR = VFR v2 = 0.4m/s
0.4*.785D^2 = 75.5*D^2* v1 D^2
= .314 =75.5*V1
v1 = 0.004m/s
Now we have the velocity, we can use Bernoulli's equation.
P1+ρgh1+ρV1^2 /2 = constant
There is no atmospheric pressure before so the P1= the gauge
pressure at the pump, let’s call the height of the hose 0m and the height of
the nozzle 1m so the is no ρgh1 Likewise, there is only atmospheric pressure at
the nozzle which is 100000 PA, and lastly the density ρ of water is 1000 KG/M^3
Pg + 1000*.004^2/2 = 100000+1000*9.8*1+ 1000*0.4^2/2
Pg + .008= 100000+9800+80
Pg+.008= 109880
Pg=109880.008 PA
Answer:
1.
B) The force exerted on Earth by the Sun is stronger than the corresponding force exerted by the Moon.
Explanation:
Gravitational force is proportional to the products of the masses of the bodies and inversely proportional to the square of their distance apart.
2.
A) The Moon exerts a stronger tidal force on Earth than the Sun does
Explanation:
the Moon produces a greater tidal force on the Earth than the Sun, even though the Sun exerts a greater gravitational attraction on the earth than that exerted b the moon on the earth.
The Sun's gravitational pull on the Earth is about 175 times stronger when compared to that exerted by the Moon but has a much smaller effect on the tides. This is due to the inverse square law. The Earth's diameter is a tiny fraction of the total distance between the Sun and Earth which means that the difference in gravitational force across the Earth varies by a very small amount. On the other hand, the Moon is much closer than the Sun, thus the difference in gravitational force from the Moon across the Earth is much greater. The Sun has approximately only 44% of tidal influence than that of the Moon.
Answer:
10.1 m /s²
Explanation:
Let m₁ be the mass of the helium gas inside balloon. Mass of air displaced is m₂
m₁ = volume x density
= 4/3 x 3.14 x 5³ x .179
= 93.67 kg
mass of displaced air
= 4/3 x 3.14 x 5³ x 1.16
= 607.06 kg
Net buoyant force in upward direction
(607.06 - 93.67 ) x g
= 5031.22 N
weight of people and gondola
= (2 x 70 + 64 ) x 9.8
= 1999.2 N
Net force in upward direction
= 5031.22 - 1999.2
= 3032.02 N
Acceleration produced
= 3032.02 / total mass
= 3032.02 / ( 93.67 +204 )
= 3032.02 / 297.67
= 10.1 m /s²
Answer:
The maximum height is 2881.2 m.
Explanation:
Given that,
Acceleration = 29.4 m/s²
Time = 7.00 s
We need to calculate the distance
Using equation of motion
Put the value into the formula
We need to calculate the velocity
Using formula of velocity
Put the value into the formula
We need to calculate the height
Using formula of height
Put the value into the formula
We need to calculate the maximum height
Using formula for maximum height
Put the value into the formula
Hence, The maximum height is 2881.2 m.
<u>Answer</u>
1/4
<u>Explanation</u>
half life = 15 years
decay period = 30 years
The number of half-lives = 30 ÷ 15
= 2 half lives
1 ⇒(<em>after 1st half life</em>) ⇒ 1/2 ⇒ (<em>after 2nd half life</em>) ⇒ 1/4
The fraction that remained is 1/4.