Explanation:
Always write what you know first about the problem
The surface of the piston that has the force applied is a circle
The area of a circle is pi x r^2
Pressure is Force / Area
Write this out
P = F / (pi x r^2)
solve for r
sqrt( F / (P x Pi)) = r
But dont forget that d = 2 x r
The diameter of the piston is equal to 3.38 inches.
What is pressure?The pressure can be defined as the force that is applied per unit area. Force will be applied perpendicular to the surface per unit area. pressure can be measured in the unit of pascal. A Pascal can be defined as the pressure exerted by one force Newton on one square area.
The mathematical expression to calculate pressure is:
Pressure = Force/area
Given, the maximum pressure of the piston, P = 2.5 psi
We know that 1 psi = 703.07 Kg/m²
P = 2.5 × 703.07 = 1757.67 Kg/m²
The force applied, F = 100N = 100/ 9.8 Kg = 10.20 Kg
The area of the piston, A = F/P
A = 10.20/1757.67
A = 0.00580 m²
Area of the piston, A = πr²
0.0058 = 3.14 × r²
r = 0.04297 m
Diameter, d = 2r = 0.0859 m
We know that one meter = 39.37 inch
The diameter of the piston, d = 0.0859 × 39.37 = 3.384 inch
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which of the following best describes the function of a resistor in an electrical circuit?
Answer:
It controls the amount of current.
Explanation:
A resistor helps control and maintain the circuit which is it's main function.
9. What strategies can be used to ensure that the forests are a continued
source of resources? [5]
Help me pls I’m giving brainlest and 10 points plssss
Answer:
Strategies to ensure that - forests are continued source of resources.
Explanation:
Forests continued sustainable use, ie today's use without compromising with tomorrow's needs - can be done using following strategies
By protection against Environment Degradation phenomenas - Soil Erosion (Erosion of top most fertile layer of soil), Land Degradation (Land losing its essential valuable nutrients) By ensuring that rate of extraction of forest resources is less than their replenishment rate, & our waste generation into forests is less than their absorptive capacity.Two resistors, one with 7.00 Ω of resistance and the other with 11.00 Ω of resistance, are connected in series to a 9.00 V battery. How much power is dissipated by these two resistors?
Answer:
4.5 W
Explanation:
Applying,
P = V²/(R₁+R₂).................. Equation 1
Where P = Power, V = Voltage, R₁ and R₂ = values of the two resistor.
From the question,
Given: V = 9.00 V, R₁ = 7.00 Ω, R₂ = 11.00 Ω
Substitute these values into equation 1
P = 9²/(7+11)
P = 81/(18)
P = 4.5 Watt.
Hence the power dessipated by the two resistors is 4.5 watt
convert 67kelvin to degrees celcius
67 kelvin is -206.15 celcius
What work is done by a forklift raising a 574 kg crate to a height of 1.3m in a time of 2.0 seconds?
Answer: [tex]7312.76\ J[/tex]
Explanation:
Given
Mass of crate is m=574 kg
The crate is raised up to a height of 1.3 m
time taken t=2 s
Work done to raise the crate is equal to the change in its potential energy
[tex]\Rightarrow \text{Work done W=}mgh\\\Rightarrow W=574\times 9.8\times 1.3\\\Rightarrow W=7312.76\ J[/tex]
A typical sound wave has a wavelength of 1 meter. The wavelength of green light is about 500 billionths of a meter. Which type of wave will tend to diffract more through a narrow gap that is about 1 centimeter wide? Explain.
Answer: Sound wave diffracts more.
Explanation: Width of gap d is smaller than wavelength λ of the gap.
You can estimate it from equation d sin α = n λ
The constant n is order of diffraction, n = 0,1,2,..
sin α = n λ / d is greater when λ/d is greater.
Sound wave will tend diffract more through a narrow gap that is about 1 centimeter wide.
What is Diffraction?Diffraction is the spreading of waves around obstacles. Diffraction takes place with sound; with electromagnetic radiation, such as light, X-rays, and gamma rays; and with very small moving particles such as atoms, neutrons, and electrons, which show wave like properties.
d sin α = n λ
Width of gap d is smaller than wavelength λ of the gap.
The constant n is order of diffraction, n = 0,1,2,..
sin α = n λ / d
Diffraction is greater when λ/d is greater.
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Two vehicles A and B accelerate uniformly from rest.
Vehicle A attains a maximum velocity of 30ms - in los
while B attains a maximum velocil) ol 40ms in the same
time. Both vehicles maintain these velocities for 6s belore
they are decelerated to rest in 6s and 4s respectively
Sketch on the same axes, velocity time graphs
for the motion of the vehicles
Calculate the velocity of each vehicle 18s aftur
the start. (VA
= 20ms -land vs
and vs = 20ms-')
How far will the two vehicles be from one
another during the moment in (ii) above?
(SA = 380m and SB
= 500m: SAB
120m). plz help
Answer:
(i) Please find attached the required velocity time graphs plotted with MS Excel
(ii) The velocity of vehicle A at the 18th second = 20 m/s
The velocity of vehicle B at the 18th second = 0 m/s
(iii) The distance between the two vehicles at the moment in (ii) above is 60 meters
Explanation:
The given parameters of the motion of vehicles A and B are;
The acceleration of vehicles A and B = Uniform acceleration starting from rest
The maximum velocity attained by vehicle A = 30 m/s
The time it takes vehicle A to attain maximum velocity = 10 s
The maximum velocity attained by vehicle B = 30 m/s
The time it takes vehicle B to attain maximum velocity = The time it takes vehicle A to attain maximum velocity = 10 s
The time duration vehicle A maintains its maximum velocity = 6 s
The time duration vehicle B maintains its maximum velocity = 4 s
(i) From the question, we get the following table;
[tex]\begin{array}{ccc}Time &V_A&V_B\\0&0&0\\10&30&40\\14&30&40\\16&30&20\\18&20&0\\22&0&\end{array}[/tex]
From the above table the velocity time graphs of vehicles A and B is created with MS Excel and can included here
(ii) The velocity of vehicle A at the start = 0 m/s
After accelerating for 10 seconds, the velocity of vehicle A = The maximum velocity of vehicle A = 30 m/s
The maximum velocity is maintained for 6 seconds which gives;
At 10 s + 6 s = 16 s, the velocity of vehicle A = 30 m/s
The time it takes vehicle A to decelerate to rest = 6 s
The deceleration of vehicle A, [tex]a_A[/tex] = (30 m/s - 0 m/s)/(6 s) = 5 m/s²
Therefore, we get;
v = u - [tex]a_A[/tex]·t
At the 18th second, the deceleration time, t = 18 s - 16 s = 2 s
u = 30 m/s
∴ v₁₈ = 30 - 5 × 2 = 20
The velocity of vehicle A at the 18th second, [tex]V_{18A}[/tex] = 20 m/s
For vehicle B, we have;
At the 14th second, the velocity of vehicle B = 40 m/s
Vehicle B decelerates to rest in, t = 4 s
The deceleration of vehicle B, [tex]a_B[/tex] = (40 m/s - 0 m/s)/(4 s) = 10 m/s²
For vehicle B, at the 18th second, t = 18 s - 14 s = 4 s
∴ [tex]v_{18B}[/tex] = 40 m/s - 10 m/s² × 4 s = 0 m/s
The velocity of the vehicle B at 18th second, [tex]v_{18B}[/tex] = 0 m/s
(iii) The distance covered by vehicle A up to the 18th second is given by the area under the velocity-time graph as follows;
The area triangle A₁ = (1/2) × 10 × 30 = 150
Area of rectangle, A₂ = 6 × 30 = 180
Area of trapezoid, A₃ = (1/2) × (30 + 20) × 2 = 50
The distance covered in the 18th second by vehicle [tex]S_A[/tex] = A₁ + A₂ + A₃
∴ [tex]S_A[/tex] = 150 + 180 + 50 = 380
The distance covered in the 18th second by vehicle [tex]S_A[/tex] = 380 m
The distance covered by the vehicle B in the 18th second is given by the area under the velocity time graph of vehicle B as follows;
Area of trapezoid, A₅ = (1/2) × (18 + 4) × 40 = 440
The distance covered by the trapezoid, [tex]S_B[/tex] = 440 m
The distance of the two vehicles apart at the 18t second, [tex]S_{AB}[/tex] = [tex]S_B[/tex] - [tex]S_A[/tex]
∴ [tex]S_{AB}[/tex] = 440 m - 380 m = 60 m
The distance of the two vehicles from one another at the 18th second, [tex]S_{AB}[/tex] = 60 m.
Give three examples of how biotechnology affects our everyday lives.
Write and complete sentences
Site your sources
Answer: But what about beer-brewing, crop breeding, and the antibiotic penicillin? These processes and products – some of which have been around for thousands of years – are also examples of biotechnology.
Explanation:
Specifically, industrial biotechnology uses enzymes and micro-organisms to make bio-based products in sectors such as chemicals, food ingredients, detergents, paper, textiles and biofuels. ... Since that time, industrial biotechnology has produced enzymes for use in our daily lives and for the manufacturing sector.
3. Which of the following statements about a scientific theory is wrong?
What are the following statements?
everything is perished.........(is it,isn't it, aren't they, are they
Answer:
everything is perished isn't it?
hope it helps.
Answer:
isn't it is the answer of your question
hope it is helpful to you
A crane lifts a load of 15000N to a height 40m in 50 seconds. Calculate the power of the crane
Answer:
P = 12000 W
Explanation:
General data:
F = 15000 N d = 40 mt = 50 sP = ?Work is force times unit of distance. So in order to calculate the power we must first calculate the work.
Formula:
[tex]\boxed{\bold{W=\frac{F}{d}}}[/tex]Replace and solve
[tex]\boxed{\bold{W=\frac{15000\ N}{40\ m}}}[/tex][tex]\boxed{\bold{W=600000\ J}}[/tex]once the work is found, we proceed to find the power according to the formula:
[tex]\boxed{\bold{P=\frac{W}{t}}}[/tex][tex]\boxed{\bold{P=\frac{600000\ J}{50\ s}}}[/tex][tex]\boxed{\boxed{\bold{P=12000\ W}}}[/tex]The power of the crane is 12000 Watts.
Greetings.
Describe the change to the stores of energy of the wood, pipe and water as the water is heated
Answer:
thermal energy or proportional energy
Explanation:
when the wood is moved the energy is changed thoughout the wood and it would be the same as the pipe and water
An element in a similar period to carbon would be
A chlorine
B. hydrogen
C. fluorine
D. magnesium
Answer: C: Fluorine
Explanation:
Carbon is in period two on the periodic table of elements. The only other elements in this period are lithium, borilliym, boron, nitrogen, oxygen, flourine, and neon. Therefore, the answer must be C.
5kg
P= 210 N
[2]
2 kg
3 kg
5 kg
P = 210 N
M = 0.2
141
1 kg
Answer:
2
Explanation:
ate kinus to plis ffffg
What is the efficiency of a car's engine when heat input is 400,000 joules and
the waste heat is 300,000 joules?
O A. 25%
B. 35%
O C. 75%
D. 85%
Answer: A. 25%
Explanation: Ap3x
can someone help me pls
Answer: food, female water
Explanation:
Can I have brainliest
Answer : dog horse cat lion deer moose tiger cheetah hippopotamus zebra rabbit penguin dolphin shark fish
Explanation:
How are wave properties and energy related?
EXPLAIN
Answer:
The higher the amplitude, the higher the energy. To summarise, waves carry energy. The amount of energy they carry is related to their frequency and their amplitude. The higher the frequency, the more energy, and the higher the amplitude, the more energy.
A 90-meter train travels at a constant speed of 10 meters per second. How long will it take to cross a 0.06 bridge?
Answer:
The time taken for the train to cross the bridge is 9.01 s
Explanation:
Given;
length of the train, L₁ = 90 m
length of the bridge, L₂ = 0.06 m
speed of the train, v = 10 m/s
Total distance to be traveled, = L₁ + L₂
= 90 m + 0.06 m
= 90.06 m
Time of motion = Distance / speed
Time of motion = 90.06 / 10
Time of motion = 9.006 s ≅ 9.01 s
Therefore, the time taken for the train to cross the bridge is 9.01 s
how to calculate light year, minute and second?
Answer:
A light-year is the distance light travels in one year. How far is that? Multiply the number of seconds in one year by the number of miles or kilometers that light travels in one second, and there you have it: one light-year. It's about 5.88 trillion miles (9.5 trillion km).
Explanation:
Question 4
The diagram represents the motion of a sound wave. The distance between points A and C is 9 meters (m), and it initially takes the wave 3 seconds (s) to travel.
What will be the wavelength of the sound wave if the velocity of the wave remains constant but the pitch is tripled?
A 3 meters
B 6 meters
с 9 meters
D 18 meters
Answer:A
Explanation:
The wavelength of the sound wave will be 3 meters.
What is wavelength?
The wavelength of any wave is defined as the distance between two max adjacent amplitudes, or the distance between two successive troughs or crest.
Now it is given that:
Distance =9 meters
time = 3 seconds
pitch=1/3 seconds
The velocity of the sound will be
[tex]V=\dfrac{d}{t}=\dfrac{9}{3}=3\ \frac{m}{s}[/tex]
Now from the question the wavelength of the sound wave if the velocity of the wave remains constant but the pitch is tripled
so [tex]f=3\times \dfrac{1}{3}=1 herts[/tex]
Now the velocity of the sound will be
[tex]v=f\times \lambda[/tex]
[tex]\lambda=\dfrac{v}{f}=\dfrac{3}{1}=3\ m[/tex]
Thus the wavelength of the sound wave will be 3 meters.
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Give details of aids in brief and explain how to protect yourself and prevent.
Answer:
(AIDS) is a chronic, potentially life-threatening condition caused by the human immunodeficiency virus (HIV). By damaging your immune system, HIV interferes with your body's ability to fight infection and disease. HIV is a sexually transmitted infection (STI). It can also be spread by contact with infected blood or from mother to child during pregnancy, childbirth or breast-feeding.
Explanation:
To help prevent the spread of HIV: 1. Use treatment as prevention (TasP). If you're living with HIV, taking HIV medication can keep your partner from becoming infected with the virus.
The game of floor hockey is primarily a blank
and blank
game.
Answer:
Fast and Energetic
Explanation:
The game of floor hockey is primarily a Fast and Energetic game. The main objective of the game of field hockey is to score more goals than the opposing team by shooting the Hockey ball into the goal post of the opposing team, Field hockey is similar to Ice hockey but the major difference is that Filed hockey is played without skates
why are dams have broader walls at the bottom?
An 16 m tall vase is located 50 m in front of a lens. An image is produced
20 m away from the lens. What is the focal length?
Answer:
f = 14.28 m
Explanation:
Given that,
Object distance, u = -50 m
The image distance from the lens, v = +20 m
We need to find the focal length of the lens. Let the focal length is f. Using the lens formula,
[tex]\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}[/tex]
Put all the values,
[tex]\dfrac{1}{20}-\dfrac{1}{(-50)}=\dfrac{1}{f}\\\\f=14.28\ m[/tex]
So, the focal length of the lens is equal to 14.28 m.
explain why does the bowling ball decelerate as it travels along the lane
The main cause of this is Friction. The more oil that is laid down, the less friction there is between the ball and the lane surface. The less friction, the harder it is for the bowler to send the ball in a curved path imparted by the spin that the bowler puts on the ball at the instant of release.
A 1200 kg car rounds a curve of radius 80 meters banked at an angle of 20°. What speed must the car travel to experience no friction between the tires and the road?
Answer:
if you wanna watch it in English it's called dub
Question 1 (1 point)
All solid objects will deform when enough force is applied.
O True
False
Answer:
Solid objects will deform when adequate loads are applied to them; if the material is elastic, the object will return to its initial shape and size after removal. This is in contrast to plasticity, in which the object fails to do so and instead remains in its deformed state.
Explanation:
Answer:
It is false
Explanation:
because when it like a rolling ball it can deform no matter what unlesss you throw it at the ground really hard then it breaks but a soft or sometimes metal yeah it can deform but not all things solid deform.
Which of these would NOT produce visible light? A) flint B) lightning C) microwave D) sun
Answer:
A microwave
Explanation
The human retina can only detect incident light that falls in waves 400 to 720 nanometers long, so we can't see microwave or ultraviolet wavelengths. This also applies to infrared lights which has wavelengths longer than visible and shorter than microwaves, thus being invisible to the human eye.
Answer:
C.) Microwave
Explanation:
USAtestprep
Two trains each of length 100m are running on two parallel trucks .One train overtakes the other in 20s and one train crosses the other in 10s.Calculate the velocity of each train
Answer:
The velocity of one of the trains is 15 m/s
The velocity of the other train 5 m/s
Explanation:
The given parameters of the two trains and the motion of the trains are;
The length of each train, l = 100 m
The time it takes one train to overtake the other, Δt₁ = 20 s
The time it takes the one train to cross the other, Δt₂ = 10 s
Let 'v₁' represent the velocity of one of the trains, and let 'v₂' represent the velocity of the other train, we have;
When one train overtakes the other, the trains are moving in the same direction and the relative velocity of the overtaking train, v = v₁ - v₂
The distance the train travels when overtaking or crossing, d = 2 × l
∴ d = 2 × 100 m = 200 m
d = 200 m
Therefore, we get;
v = v₁ - v₂ = d/Δt₁ = (200 m)/(20 s) = 10 m/s
∴ v₁ - v₂ = 10 m/s [tex]{}[/tex] Equation (1)
When one train crosses the other train, the trains are moving in opposite directions on the different tracks, therefore, we have;
For the overtaking trains, v = v₁ + v₂ = d/Δt₂ = (200 m)/(10 s) = 20 m/s
∴ v₁ + v₂ = 20 m/s [tex]{}[/tex] Equation (2)
Adding equation (1) to equation (2) gives;
v₁ - v₂ + v₁ + v₂ = 2·v₁ = 10 m/s + 20 m/s = 30 m/s
∴ v₁ = 30 m/s/2 = 15 m/s
The velocity of one of the trains, v₁ = 15 m/s
From equation (2), we have;
v₁ + v₂ = 20 m/s
v₂ = 20 m/s - v₁
∴ v₂ = 20m/s - 15 m/s = 5 m/s
The velocity of the other train, v₂ = 5 m/s.
A teacher performing a demonstration finds that a piece of cork displaces 23.5 cm3 of water. The piece of cork has a mass of 5.7 g. What is the density of the cork
Answer:
Density = 0.243 g/cm³
Explanation:
Volume of cork = 23.5 cm³
Mass = 5.7 g
To find the density of the cork;
Density can be defined as mass all over the volume of an object.
Simply stated, density is mass per unit volume of an object.
Mathematically, density is given by the formula;
[tex]Density = \frac{mass}{volume}[/tex]
Substituting into the formula, we have;
Density = 5.7/23.5
Density = 0.243 g/cm³