Answer:
Option C, The total energy consists of half the original potential energy and half of the original potential energy converted to kinetic energy.
Explanation:
Complete question
A pendulum is pulled back from its equilibrium (center) position and then released. When the pendulum bob is halfway between the high point and the low point in its swing, is the total energy kinetic energy, potential energy, or both? Explain.
The total energy is kinetic energy only.
The total energy is potential energy only.
The total energy consists of half the original potential energy and half of the original potential energy converted to kinetic energy.
The total energy consists of one-fourth the original potential energy and three-fourths of the original potential energy converted to kinetic energy.
Solution
Total energy is the sum of kinetic energy and potential energy and as a pendulum moves back and forth, there is continuous transformation of energy from one form to the other form. i.e from kinetic energy to potential energy and vice versa.
When the pendulum is released from some position, the potential energy in it start converting into kinetic energy with the increase in speed of motion of pendulum bob
Hence, option C is correct
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
Red is the lowest because it has the shortest wavelengths
Answer:
28 m
Explanation:
v₀ = 23.4 m/s, g = -9.8 m/s²
at the peak v = 0
find h
v² - v₀² = 2gh
0 - 23.4² = 2(-9.8)h = -19.6 h
so h = 28 m