Answer:
The pressure at the top of the step is 129.303 kilopascals.
Explanation:
From Hydrostatics we find that the pressure difference between extremes of the water column is defined by the following formula, which is a particular case of the Bernoulli's Principle ([tex]v_{bottom}\approx v_{top}[/tex]):
[tex]p_{bottom}-p_{top} = \rho\cdot g\cdot \Delta h[/tex] (1)
[tex]p_{bottom}[/tex], [tex]p_{top}[/tex] - Total pressures at the bottom and at the top, measured in pascals.
[tex]\rho[/tex] - Density of the water, measured in kilograms per cubic meter.
[tex]\Delta h[/tex] - Height difference of the step, measured in meters.
If we know that [tex]p_{bottom} = 132000\,Pa[/tex], [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]\Delta h = 0.275\,m[/tex], then the pressure at the top of the step is:
[tex]p_{top} = p_{bottom}-\rho\cdot g\cdot \Delta h[/tex]
[tex]p_{top} = 132000\,Pa-\left(1000\,\frac{kg}{m^{3}} \right)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (0.275\,m)[/tex]
[tex]p_{top} = 129303.075\,Pa[/tex]
[tex]p_{top} = 129.303\,kPa[/tex]
The pressure at the top of the step is 129.303 kilopascals.
The pressure of the water at the top of the step is 1.293 x 10⁵ Pa.
The given parameters:
Height of the hose, h = 27.5 cm = 0.275 mPressure of the water at bottom, Pb = 132 kPaThe pressure of the water at the top of the step is calculated as follows;
[tex]P_b - P_t = \rho gh\\\\P_t = P_b - \rho gh[/tex]
where;
[tex]\rho[/tex] is the density of the water
[tex]P_t = (132,000 \ Pa) \ - \ (1000 \times 9.8 \times 0.275)\\\\P_t = 1.293 \times 10^5 \ Pa[/tex]
Thus, the pressure of the water at the top of the step is 1.293 x 10⁵ Pa.
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Convert this number to standard notation: 1.4 x 10^-2*
Answer:
0.014
Explanation:
here
1.4 x 10^-2
=0.014
may this help
What does it mean to say that the speed of a vehicle is 40 mi/h?
A bird flies directly into the windshield of a moving car. How does the FORCE exerted on the car compare to the FORCE exerted on the bird?
A: the force on the car is less than the force on the bird
B: The force on the car is equal to the force on the bird
C: the force on the car is greater than the force on the bird
Answer:
b
Explanation:
properties seen when one substance changes to another are know as ____ properties
Answer: chemical property
Explanation:
read the sentences choose the one that is informational
Answer:
at least put the sentences in the Ques. smh
Explanation:
Answer:
B-The world’s largest pancake griddle is located in Penn Yan, NY, and measures 27 feet from end to end.
Explanation:
i got it right on my test
A force of 250 N is applied to a hydraulic jack piston that is 0.02 m in diameter. If the piston that supports the load has a diameter of 0.15 m, approximately how much mass can be lifted by the jack? Ignore any difference in height between the pistons. A) 250 kg B) 700 kg C) 1400 kg D) 2800 kg E) 5600 kg
Answer:
C. 1400
Explanation:
The force exerted = f1 = 250
Diameter d1 = 0.02
r1 = d1/2 = 0.01
Diameter d2 = 0.15
r2 = d2/2 = 0.075
The mass of jack to lift
F1/A1 = f2/A2
250/r1² = f2/r2²
250/0.01² = f2/0.075²
When we cross multiply, we will have:
250x0.005625 = 0.0001f2
1.40625 = 0.0001f2
F2 = 1.40625/0.0001
F2 = 14062.5N
Force f = mg
g = 9.81
m = 14062.5/9.81
Mass = 1433Kg
Therefore option c is correct. A mass of 1400kg can be lifted by the jack
System uses 49J of energy to do work in the change of internal energy is 58 j. how much heat was added to the system?
Answer:
107
Explanation:
A cart is pulled by a force of 250 N at an angle of 35° above the horizontal. The cart accelerates at 1.4 m/s^2. The free-body diagram shows the forces acting on the cart.
A free body diagram with 3 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline. The second vector is pointing up, labeled F Subscript N Baseline. The third vector is pointing up to the right at an angle of 35 degrees, labeled F Subscript p Baseline = 250 N. The up and down vectors are the same length.
The mass of the cart, to the nearest whole number, is
Split up the acceleration into horizontal and vertical components:
a = (1.4 m/s²) (cos(35º) i + sin(35º) j)
a ≈ (1.15 m/s²) i + (0.803 m/s²) j
Do the same with the pulling force (denoted by p):
p = (250 N) (cos(35º) i + sin(35º) j)
p ≈ (205 N) i + (143 N) j
By Newton's second law, the net horizontal force is proportional to the horizontal acceleration according to
∑ F = m a
The only horizontal force acting on the cart is the horizontal component of the pulling force. So we have
205 N = m (1.15 m/s²)
m ≈ 178.571 kg ≈ 180 kg
. If an object has a mass of 200 kg ant a velocity of 30 m/s... what is the Kinetic Energy
(KE) of the object?
Answer:
90,000 JExplanation:
The kinetic energy (KE) of an object can be found by using the formula
[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]
m is the mass
v is the velocity
From the question we have
[tex]k = \frac{1}{2} \times 200 \times {30}^{2} \\ = 100 \times 900[/tex]
We have the final answer as
90,000 JHope this helps you
Answer:
When it hits a wooden target, the ball exerts a force on the fibers in the wood, splintering. First, heavier objects that are moving have more kinetic energy than lighter ones: a In equation form: kinetic energy (joules) = 1/2 x mass (kg) x velocity2 (m/s) Note that: 200 kg-m2/s2 = 200 (kg-m/s2) x m = 200 N x m = 200 joules.
Explanation:
A 27.0 cm long spring is hung vertically from a ceiling and stretches to 31.5 cm when a 7.00 kg mass is hung from its free end.
(a) Find the spring constant (in N/m).
___ N/m
(b) Find the length of the spring (in cm) if the 7.00 kg weight is replaced with a 205 N weight.
___ cm
Answer:
A=1526N/m
B =40cm
Explanation:
Step one;
given
initial length=27cm= 0.27m
final length= 31.5cm= 0.315m
mass m= 7kg
Step two:
Required
A.
Force= mg
Force=weight= 7*9.81= 68.67N
extenstion e
e=31.5-27=4.5cm= 0.045m
K= spring constant
we know that F=ke
k=F/e
k=68.67/0.045
k=1526N/m
B.
New weight= 205N
F=ke
e=205/1526
e=0.13m
new length = 0.13+0.27= 0.4m
to cm=0.40*100=40cm
PLEASE HELP!
Which of the following is true of a centripetal force?
a) The force is directed tangent to the circle
b) The force is directed towards the center of the circle
c) The force is directed away from the center of the circle
d) All of the above
Answer:
I'm not %100 sure but it might be d
Explanation:
What quantity is the rate of change of velocity? Displacement Acceleration Final velocity
Answer:
Acceleration
Explanation:
The quantity of the rate of change of velocity is termed the acceleration of the body.
Acceleration is the rate of change of velocity with time;
A = [tex]\frac{v - u}{t}[/tex]
A is the acceleration
v is the final velocity
u is the initial velocity
t is the time taken
A 500 W heating coil designed to operate from 110 V is made of Nichrome 0.500 mm in diametera.Assuming the resistivity of the nichrome remains constant at is 20.0 degrees C value find the length of wire used.b. Now consider the variation of resistivity with temperature. What power is delivered to the coil of part (a) when it is warmed to 1200 degrees C.?
Answer:
a) 3.162 m
b) 339.7 W
Explanation:
Assume ρ = 1.50*10^-6 Ωm, and
α = 4.000 10-4(°C)−1 for Nichrome
To solve this, we would use the formula
P = V² / R
So when we rearrange and make R subject of formula, we have
R = V² / P
Resistance of the heating coil, R
R = (110² / 500)
R = 12100 / 500
R = 24.2 ohms
Recall the formula for resistivity of a wire
R = ρ.L/A
Again, in rearranging and making L subject of formula, we have
L = R.A / ρ
To make it uniform, we convert our radius from mm to m.
Diameter, D = 0.5 mm
Radius of wire = 0.5 / 2 mm = 0.25 mm = 0.00025 m
We then use this radius to find our area
A = πr²
A = π * 0.00025²
A = 1.96*10^-7 m²
And finally, we solve for L
L = (24.2 * 1.96*10^-7 / 1.50*10^-6) =
L = 3.162 m
(b)
Temperature coefficient of resistance.
R₁₂₀₀ = R₂₀[1 + α(1200 - 20.0) ]
R₁₂₀₀ = R₂₀[1 + α(1180) ]
R₁₂₀₀ = 24.2[ 1 + 4.*10^-4 * 1180 ]
R₁₂₀₀ = 24.2[1 + 0.472]
R₁₂₀₀ = 24.2 * 1.472
R₁₂₀₀ = 35.62 ohms
Putting this value of R in the first formula from part a, we have
P = V² / R
P = (110² / 35.62)
P = 12100/ 35.62
P = 339.70 watts
(a) Length of the wire is 3.162 m
(b) Power delivered to the coil is 339.7 W
Electrical Power:The electrical power is given by
P = V² / R
R = V² / P
Resistance of the heating coil, R
R = (110² / 500)
R = 12100 / 500
R = 24.2 Ω
Now the resistivity of a wire is given by
ρ= RA/L
here ρ = 1.50×10⁻⁶ Ωm
so after rearranging we get:
L = RA / ρ
Now, the radius of wire r = 0.5 / 2 mm = 0.25 mm = 2.5×10⁻⁴ m
So the cross sectional area can be calculated as follows
[tex]A = \pi r^2\\\\A = \pi \times (2.5\times10^{-4})^2\\\\A = 1.96\times10^{-7} m^2[/tex]
hence,
[tex]L = (24.2 \times1.96\times10^{-7} / 1.50\times10^{-6}) \\\\L = 3.162\; m[/tex]
(b)The dependency of resistance with temperature is as follows:
R = R₀[1 + αΔT]
α = [tex]4\times10^{-4}^\;oC^{-1}[/tex] for Nichrome
[tex]R' = R [1 + \alpha (1200 - 20) ]\\\\R' = R[1 + \alpha (1180) ]\\\\R' = 24.2[ 1 + 4*10^{-4} * 1180 ]\\\\R' = 24.2[1 + 0.472]\\\\R' = 24.2 * 1.472\\\\R' = 35.62 \;\Omega[/tex]
So the power generated is :
P = V² / R
P = (110² / 35.62)
P = 12100/ 35.62
P = 339.70 watts
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A planetoid has a mass of 1.910e+21 kg and a radius of 7.00×105 m. Find the magnitude of the gravitational acceleration at the planetoid's surface.
Which scientific law states the relationship between an object's mass, acceleration, and amount of force acting on it? (3 points)
1. Law of universal gravitation
2. Newton's third law of motion
3. Keplar's law of planetary motion
4. Newton's second law of motion
Answer:
4.Newton's second law of motion
You are looking straight down on a magnetic compass that is lying flat on a table. A wire is stretched horizontally under the table, parallel to and a short distance below the compass needle. The wire is then connected to a battery so that a current I flows through the wire. This current causes the north pole of the compass needle to deflect to the left. The questions that follow ask you to compare the effects of different actions on this initial deflection.
If the wire is lowered farther from the compass, how does the new angle of deflection of the north pole of the compass needle compare to its initial deflection?
Answer:
It is smaller
Explanation:
So if you hot glue a match onto another match and then burn the match we would have unlimited matches just think about it. IT'S WEIRD
Answer:
#showerthoughts
Explanation:
The Dodgers are up at bat during the World Series. Joc Pederson swings his baseball bat and it collides perfectly with the baseball. Identify the action and reaction forces when the bat hits the baseball.
Action force:
Reaction force:
Answer:
According to Newton's third law, for every action force there is an equal (in size) and opposite (in direction) reaction force. ... The baseball forces the bat to the left; the bat forces the ball to the right. Together, these two forces exerted upon two different objects form the action-reaction force pair.
A 7.14kg bag of hammers rests on a spring which is compressed 10.8cm by the weight of the bag. What is the spring constant?
Answer: 22.1
Explanation:
Tyler drives 50km north. Tyler then drives back 30km south. What distance did he cover? What was his displacement?
Answer:
he covered 80km his displacement was 20km
Explanation:
displacement is the distance from the starting point so in this case its 20 (50-30) and total distance covered is how many kilometers he drove in total
Find the wavelength (in nm) of a 2.52 eV photon. a. 492.34127 nm.b. 585.88611 nm.c. 541.5754 nm.d. 418.49008 nm.
Answer:
The correct option is (a).
Explanation:
Given that,
The energy of photon, E = 2.52 eV
We need to find the wavelength of the photon in nm. The formula for the energy of a photon is given by :
[tex]E=\dfrac{hc}{\lambda}\\\\\lambda=\dfrac{hc}{E}\\\\\lambda=\dfrac{6.63\times 10^{-34}\times 3\times 10^8}{2.52\times 1.6\times 10^{-19}}\\\\=4.93\times 10^{-7}\ m\\\\=493\ nm[/tex]
The nearest option is a) i.e. 492.34127 nm.
How much heat is absorbed by 60 g of copper (c=385 J/kg K) when it is heated
from 20°C to 80°C?
Answer:
Q = 1386 J
Explanation:
Mass, m = 60 g = 0.06 kg
Specific heat of copper, c=385 J/kg K
It is heated from 20°C to 80°C.
We need to find the heat absorbed. It can be given by the formula as follows :
[tex]Q=mc\Delta T\\\\Q=0.06\times 385 \times (80-20)\\\\Q=1386\ J[/tex]
So, 1386 J of heat is absorbed.
If a 8.1g ring is heated using 10.0 ), its temperature rises 21.7°C. Calculate the specific
heat capacity of the ring.
What household item turns electrical energy into radiant energy
Answer:
Television,video game consoles
Answer:
A toaster
Explanation:
Since it heats up with heat waves of radiant energy
A ball rolls from x = -9.8 m to x = 11.0 m in 5.0 seconds what was its average velocity
Explanation:
avg velocity = total displacement / total time taken = (11 - (-9.8)) / 5.0 = 4.16m/s to the right when taken right to be positive
A 10.0-V battery is connected to a 120-Ω resistor. Ignoring the internal resistance of the battery, calculate the power delivered to the resistor.
Answer:
0.83W
Explanation:
Given parameters:
Voltage of the battery = 10V
Resistance = 120Ω
Unknown:
Power delivered by the resistor = ?
Solution:
The power delivered by the resistor can be derived using the expression below;
Power = [tex]\frac{V^{2} }{R}[/tex]
V is the voltage
R is the resistance
Now, insert the parameters and solve
Power = [tex]\frac{10^{2} }{120}[/tex] = 0.83W
5. True or False: The medium moves along with a wave.
Answer:
false. the medium never moves
Explanation:
Explain What determines the amount of
chemical energy a substance has?
1. Two forces F~ 1 and F~ 2 are acting on a block of mass m=1.5 kg. The magnitude of force F~ 1 is 12N and it makes an angle of θ = 37◦ with the horizontal as shown in figure-1. The block is sliding at a constant velocity over a frictionless floor.
(a) Find the value of the normal force on the block.
(b) Find the magnitude of force F~2 that is acting on the block
(c) Find the magnitude of force F~ 2 if the block accelerates with a magnitude of a = 2.5 m/s2 along the direction of F~ 2 .
Answer:
Normal force=7.48 N
Explanation:
N+F~1 sinθ-mg=0
=>N=1.5*9.8-12 sin37◦
=>N=14.7-7.22=7.48 N
Photons of infrared radiation with wavelengths longer than those of visible light will have what kind of energy compared to that of visisble light?
Answer:
Infrared photons carry lower radiation energy than the visible light.
Explanation:
Each photon carries an energy that is directly proportional to its frequency, being this proportionality constant the Planck's constant h.So, we can write the energy of a single photon as follows:[tex]E = h*\nu (1)[/tex]
Since there exists an inverse relationship between wavelength and frequency, and infrared radiation has longer wavelengths, this means that its frequency is lower than the one of the visible light.So, an infrared photon carries less energy that one of the visible light.Infrared photons carry lower radiation energy than the visible light.
What are visible and infrared radiation?
Visible light is the section of the spectrum of electromagnetic radiation which are visible to human eyes. The wavelength range of this light varies from 400 nm to 700 nm .
Each photon carries an energy that is directly proportional to its frequency, being this proportionality constant the Planck's constant h.
So, we can write the energy of a single photon as follows:
[tex]E=h\nu[/tex]
Since there exists an inverse relationship between wavelength and frequency, and infrared radiation has longer wavelengths, this means that its frequency is lower than the one of the visible light.
So, an infrared photon carries less energy than one of the visible light.
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