Answer:
[tex]625\ \text{cm}^2[/tex]
[tex]14.1\ \text{cm}[/tex]
Explanation:
[tex]F_1[/tex] = Force applied to master piston = 200 N
[tex]F_2[/tex] = Force applied to slave piston = 5000 N
[tex]A_1[/tex] = Area of master piston = [tex]25\ \text{cm}^2[/tex]
[tex]A_2[/tex] = Area of slave piston
r = Radius of slave piston
From Pascal's law we have
[tex]\dfrac{F_1}{A_1}=\dfrac{F_2}{A_2}\\\Rightarrow A_2=\dfrac{F_2}{F_1}A_1\\\Rightarrow A_2=\dfrac{5000}{200}\times 25\\\Rightarrow A_2=625\ \text{cm}^2[/tex]
The area of the slave piston is [tex]625\ \text{cm}^2[/tex]
Area of the slave piston is given by
[tex]A_2=\pi r^2\\\Rightarrow r=\sqrt{\dfrac{A_2}{\pi}}\\\Rightarrow r=\sqrt{\dfrac{625}{\pi}}\\\Rightarrow r=14.1\ \text{cm}[/tex]
The radius of the slave piston is [tex]14.1\ \text{cm}[/tex].
Chemistry Sem 2
Points Possible: 20
Name: Caleb Peterson
Date:
1. Several solids, liquids, and gases can be found in your home. List three
examples of each. (9 points) Think about where solids, liquids, and gases might
be found in your refrigerator, bathroom, or basement/garage.
Answer:
Solids - Bricks , wood , Pottery, Bucket
Liquid - Water, soap, Sanitizers.
Gases - Aerosol in Deodorants, Chlorofluorocarbons in Fire extinguishers , Butane in lighters.
On the way to the moon, the Apollo astronauts reach a point where the Moon’s gravitational pull is stronger than that of Earth’s.
Find the distance of this point from the
center of the Earth. The masses of the
Earth and the Moon are 5.98 × 1024 kg and
7.36 × 1022 kg, respectively, and the distance
from the Earth to the Moon is 3.84 × 108 m.
Answer:
3.456 × 10^(8) m
Explanation:
We are given;
Mass of earth; m_e = 5.98 × 10^(24) kg
Mass of moon; m_m = 7.36 × 10^(22) kg
Distance from earth to moon; L = 3.84 × 10^(8) m.
We are told that the Moon’s gravitational pull is stronger than that of Earth’s.
Thus;
F_EA ≤ F_MA
Formula for force due to gravity is;
F = GMm/r²
Applying to this question, we have;
(Gm_e•m_a)/x² ≤ (Gm_m•m_a)/(l - x)²
Where x is his distance from the center of the Earth
Now, G and m_a will cancel out from both sides and we plug on other values to get;
(5.98 × 10^(24))/x² ≤ (7.36 × 10^(22))/(3.84 × 10^(8) - x)²
Taking square root of both sides gives;
2445403852127.4966/x ≤ 271293199325.0107/(3.84 × 10^(8) - x)
Rearranging gives;
2445403852127.4966(3.84 × 10^(8) - x) ≤ 271293199325.0107x
Simplifying this gives;
9.0139(3.84 × 10^(8) - x) ≤ x
(34.613 × 10^(8)) - 9.0139x ≤ x
(34.613 × 10^(8)) ≤ x + 9.0139x
(34.613 × 10^(8)) ≤ 10.0139x
x ≥ (34.613 × 10^(8))/10.0139
x ≥ 3.456 × 10^(8)
Which is one college class that a student would most likely take to become an oceanographer?
-marine biology
-chemical engineering
-foundations of physics
-human anatomy
Answer:
marine biology
Explanation:
can i get the crown?
Answer:
Marine Biology
Explanation:
part of an Oceanographers skills is to know marine life therefore marine biology is a subject to take, plus its the only logical answer choice since its part of the marine/oceanic Realizations.
during what part of their drive are the not moving?
the angular speed of an automobile engine is increased at a constant rate from 1300rev/min to 2000rev/min in 3s (a) what is its angular acceleration in revolutions per minute squared
Answer:
please find attached pdf
Explanation:
What type of wave has crests and troughs?
Answer:
tidal wave
Explanation:
. A solenoid coil consists of a single layer of 250 circular turns of wire with each turn having a 0.02m radius. The axial length of the coil is 0.3m. The coil is self-supporting, containing only air. (a) Determine the inductance of the coil, assuming that the magnetic field intensity is uniform inside the coil and zero elsewhere. (b) Find the stored energy in the magnetic field of the coil when the coil current is 18A.
Answer:
a) L = 3.29 10⁻⁴ H, b)U = 5.33 10⁻² J
Explanation:
a) The inductance is a solenoid this given carrier
L = [tex]\frac{N \ \phi_B }{I}[/tex]
The magnetic field inside the solenoid is
B = μ₀ [tex]\frac{N}{l} i[/tex]
hence the magnetic flux
Ф_B = B. A = μ₀ [tex]\frac{N \ A}{l \ i}[/tex]
we substitute in the expression of inductance
L = N² μ₀ A /l
let's find the area of each turn
A = π r²
A = π 0.02²
A = 1.2566 10⁻³ m²
let's calculate
L = 250² 4π 10⁻⁷ 1.2566 10⁻² / 0.3
L = 3.29 10⁻⁴ H
b) The stored energy is
U = ½ L i²
let's calculate
U = ½ 3.29 10⁻⁴ 18²
U = 5.33 10⁻² J
Minimum interplanar spacing required for Bragg's diffraction is:
Answer:
Explanation:
\frac{\lambda }{2} is the minimum interplanar spacing which is required for Bragg's diffraction to occur.
Batteries are usually identified by their voltage.
Which battery would be able to give 18 joules of energy to 12 coulombs of charge?
Question 7 options:
1.5 Volt battery
216 Volt battery
9 Volt battery
12 Volt battery
6 Volt battery
3 Volt battery
Answer:
Explanation:
Given parameters:
Electrical energy = 18J
Quantity of charge Q = 12C
Unknown:
Voltage = ?
Solution:
The expression of electrical potential energy is given as:
Electrical potential energy = [tex]\frac{1}{2}[/tex] c v²
c is the quantity of charge
v is the voltage
18 = [tex]\frac{1}{2}[/tex] x 12 x v²
18 = 6v²
v² = 3
v = 1.7v
3. The game of tetherball involves a ball tied to a rope the other end of which is tied to the top of a pole. Players try to hit the ball around the pole in opposite directions until it is completely wrapped around the pole. What forces make the ball move in a circle around the pole
Answer: The force that makes the ball move in a circle around the pole is an angular force known as CENTRIPETAL FORCE.
Explanation:
When a stone is attached to a string, just as in the tetherball game, and whirled round at constant speed in a horizontal circle, the stone moves with constant speed but at different directions and acceleration ( as the ball is hit by different players) directed towards the center of the circle due to the tension in the spring that produces a force.
The force that is required to keep the object ( ball) moving in this circular path is called the centripetal force. It is inversely proportional to the radius curvature (r) which is formed by the rope that ties the ball to the pole. Therefore, the force increase as the radius decreases.
Hence,
F= mv²/ r
Where F= centripetal force
m= mass
v= velocity
r= radius of curvature
Other examples of centripetal force includes
--> a car moving in a circular path,
--> the revolution of the planets round the sun,
The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.53 m and 1.06 m, respectively. The respective rotational speeds are 443 rev/min and 4,120 rev/min. Calculate the speeds of the tips of both rotors. Compare these speeds with the speed of sound, 343 m/s.
Answer:
Main motor= 174.66 m/s
Tail motor=228.66 m/s
Explanation:
✓Main motor
Diameter of the main motor= 7.53 m
rotational speeds = 443 rev/min
The speed of the trip= rotational speed × radius
Radius of the main rotor= diameter/ 2
= 7.53 /2=3.765 m
The speed of the trip= (443 ×2π ×3.765)
= 10479.69 meter per minutes
We can convert to metre per seconds as
10479.69/ 60
= 174.66 m/s( less than speed of sound)
✓ Tail motor
Diameter of the main motor= 1.06 m
rotational speeds = 4120 rev/min
The speed of the trip= rotational speed × radius
Radius of the main rotor= diameter/ 2
= 1.06/2
= 0.53m
The speed of the trip= (4120 ×2π ×0.53)
= 13719.96 meter per minutes
We can convert to metre per seconds as
13719.96/ 60
= 228.66 m/s( less than speed of sound)
Someone please please please help me with this. I’ll give u whatever rating u want
The vertical forces add up to zero.
The net force on the object is 60N to the right.
F = m • a
60N right = (10kg) • (a)
a = (60N right) / (10kg)
a = 6 m/s^2 to the right
Multi-engine Commercial would be nice.
What is the kinetic energy of a 30 kg dog that is running at a speed of 8.6 m/s (about 19 mi/h)?
Answer:
Uhm thags hsed
Explanation:
Dkrr
Please I need a quicker question
Answer:
117.4m/s²
Explanation:
maybe but I just try
(1 point) A projectile is fired from ground level with an initial speed of 600 m/sec and an angle of elevation of 30 degrees. Use that the acceleration due to gravity is 9.8 m/sec2. (a) The range of the projectile is meters. (b) The maximum height of the projectile is meters. (c) The speed with which the projectile hits the ground is m/sec.
Answer:
(a) The range of the projectile is 31,813.18 m
(b) The maximum height of the projectile is 4,591.84 m
(c) The speed with which the projectile hits the ground is 670.82 m/s.
Explanation:
Given;
initial speed of the projectile, u = 600 m/s
angle of projection, θ = 30⁰
acceleration due to gravity, g = 9.8 m/s²
(a) The range of the projectile in meters;
[tex]R = \frac{u^2sin \ 2\theta}{g} \\\\R = \frac{600^2 sin(2\times 30^0)}{9.8} \\\\R = \frac{600^2 sin (60^0)}{9.8} \\\\R = 31,813.18 \ m[/tex]
(b) The maximum height of the projectile in meters;
[tex]H = \frac{u^2 sin^2\theta}{2g} \\\\H = \frac{600^2 (sin \ 30)^2}{2\times 9.8} \\\\H = \frac{600^2 (0.5)^2}{19.6} \\\\H = 4,591.84 \ m[/tex]
(c) The speed with which the projectile hits the ground is;
[tex]v^2 = u^2 + 2gh\\\\v^2 = 600^2 + (2 \times 9.8)(4,591.84)\\\\v^2 = 360,000 + 90,000.064\\\\v = \sqrt{450,000.064} \\\\v = 670.82 \ m/s[/tex]
When the starter motor on a car is engaged, there is a 320 A current in the wires between the battery and the motor. Suppose the wires are made of copper and have a total length of 1.5 m . For the steps and strategies involved in solving a similar problem, you may view a Video Tutor Solution. What minimum diameter can the wires have if the voltage drop along the wires is to be less than 0.50 V?
Answer:
0.5
Explanation:
because it is V uwbsusvegwjosnfvehdbuxbdusndgdghqbwbwbbeuehdbdhdhdhdudhdhdudhdnskowoqllqlqlqnebe
Based on the model you saw in the study predict what will happen to the interactions between water molecules as the temperature in the system decreases.
Marking brainliest
Answer:
1 st one
Explanation:
The interactions between water molecules as the temperature in the system decreases b) The interaction between the molecule will become stronger
What is molecular interaction?
Molecular interactions are attractive or repulsive forces between molecules and between non-bonded atoms
When temperature of the system decreases the average kinetic energy of the molecules decreases and they move slowly , the molecular motion get decreased , if the molecules are near each other , the slower they go , more will be molecular interactions , the intermolecular forces attract them to each other .
the correct answer is :
b) The interaction between the molecule will become stronger
learn more about molecular interactions
https://brainly.com/question/24110424?referrer=searchResults
#SPJ3
Plz answer this question correctly
Answer:
changing the direction in which a force is exerted
1) When charges pass through a resistor, they give up kinetic energy to the environment in the form of heat. Consider a circuit in which the wires on either side of a resistor are exactly the same diameter. The average drift speed for charges entering the circuit is venter. The drift speed for charge exiting the resistor is vexit. Is vexit greater than, less than, or equal to venter
[tex]\frac{1}{2}[/tex]Answer:
[tex]v_{exit } < v_{enter}[/tex]
Explanation:
To propose the solution of this problem we must use the relationship between work and energy
W = ΔK
the change in kinetic energy is
ΔK = K_f -K₀
ΔK = ½ m v_f² - ½ m v₀² = ½ m (v_f² - v₀²)
in this case
ΔK = [tex]\frac{1}{2} m ( v_{exit}^2 - v_{enter}^2 )[/tex]
we can find work with the first law of thermodynamics
[tex]\Delta E_{int}[/tex] = Q + W
where \Delta E_{int} is the internal energy of the body, usually measured in the form of an increase in the temperature of the system
W = \Delta E_{int} - Q
if we consider that the internal energy does not change
W = -Q
we substitute everything in the first equation
-Q = [tex]\frac{1}{2} m ( v_{exit}^2 - v_{enter}^2 )[/tex]
Because they are squared, the variables are positive, therefore, for the equation to be fulfilled, the exit velocity must be less than the entrance velocity.
[tex]v_{exit } < v_{enter}[/tex]
Suppose a utility charges its large industrial customers $0.08/kWh for energy plus $10/mo per peak kVA (demand charge). Peak kVA means the highest level drawn by the load during the month. If a customer uses an average of 750 kVA during a 720-h month, with a 1000-kVA peak, what would be their monthly bill if their power factor (PF) is 0.8
Answer:
$42,560
Explanation:
Given that :
Charge per kwh = $0.08
Peak kvA = $10 /month
Total hours = 720 hours / month
Peak = 1000kVA
Power factor (PF) = 0.8
Averga power = 750k
Power consumption (Active) = PF* average Powe
Active consumption =. 0.8 * 750 = 600kW
Energy used = 600 * 720 = 432000 KW
Cost = 432000 *$0.08 = $34,560
Peak Energy = 0.8 * 1000 = 800 KW
Cost = $10 * 800 = $8000
Total = $(34,560 + 8000)
Total = $42,560
A man standing on the Earth can exert the same force with his legs as when he is standing on the moon. We know that the mass of the man is the same on the Earth and the moon. We also know that F=ma is true on both the Earth and the moon. Will the man be able to jump higher on the moon than the Earth? Why or why not?
PLEASE HELPPPP
Answer:
yes
Explanation:
earth has gravity force that is high than the moon gravity force which is 1/6 of earth gravity
Earth has gravity force that is high than the moon gravity force which is 1/6 of earth gravity.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The force on the moon is less than earth as gravity is 1/6 on the moon
When man jump than he will jump high on the moon than the earth.
Earth has gravity force that is high than the moon gravity force which is 1/6 of earth gravity.
To learn more about force refer to the link:
brainly.com/question/13191643
#SPJ2
inertia is a measure of
a) a push or pull on an object
b) the difficulty of changing an object's motion
c) a velocity of an object
d) none of the above
Answer:
b.. a difficulty of changing an object's motion, that's my ✨ g u e s s ✨
how does different color show exist
Answer:Light is made up of wavelengths of light, and each wavelength is a particular colour. The colour we see is a result of which wavelengths are reflected back to our eyes. The visible spectrum showing the wavelengths of each of the component colours. The spectrum ranges from dark red at 700 nm to violet at 400 nm.
Explanation:
hope it helps
Answer:When light hits an object, the object reflects some of that light and absorbs the rest of it. Some objects reflect more of a certain wavelength of light than others. That's why you see a certain colour. For example, a lemon reflects mainly yellow light.
Explanation:
Which have the same velocity?
A. A boy walking east at 2 km/h and a man walking east at 4 km/h
B. A car standing still and a truck driving in a circle at 4 km/h
C. A dog walking west at 3 km/h and a cat walking west at 3 km/h
D. A girl walking west at 3 km/h and a boy walking south at 3 km/h
Answer:
answer is b
Explanation:
Two loudspeakers face each other, vibrate in phase, and produce identical 406 Hz tones. A listener walks from one speaker toward the other at a constant speed and hears the loudness change (loud-soft-loud) at a frequency of 2.86 Hz. The speed of sound is 343 m/s. What is the walking speed
Answer:
1.21 m/s
Explanation:
Given :
2 loudspeakers
F2 - F1 = 2.86 Hz
Speed of sound, V = 343
Fo = frequency when listener is at rest = 406Hz
To obtain the walking speed Vo, speed as observer moves away from speaker ;
Vo = [(F2 - F1) * V] ÷ 2 * Fo
Vo = [2.86 * 343] ÷ (2 * 406)
Vo = 980.98 / 812
Vo = 1.2081034
Vo = 1.21 m/s
What is the weight of an object (on earth) that has a mass of 45 kg?
Answer:
441 N
Explanation:
weight = mass x gravity
w = m x g.
We know that gravity = 9.8 m/s^2 and mass = 45 kg.
w = 45 kg x 9.8 m/s^2
w = 441 N
So the weight of the object is 441 N (newtons).
Answer:441 N.
Explanation:
The weight of 45 kg at rest on the surface of the Earth is about 45 * 9.8 N = 441 N.
An object is experiencing an acceleration of 12 m/s2 while traveling in a circle of radius 5.0 m. What is its velocity?
Answer:
v = 7.74 m/s
Explanation:
Given that,
The acceleration of the object, a = 12 m/s²
The radius of the circle, r = 5 m
We need to find the velocity of the object. The centripetal acceleration act on the object that is given by :
[tex]a=\dfrac{v^2}{r}\\\\v=\sqrt{ar} \\\\v=\sqrt{12\times 5} \\\\v=7.74\ m/s[/tex]
So, the velocity of the car is 7.74 m/s.
saturn exerts a much greater force on the moon Pan than Pan exerts on saturn. true or false
Answer: False
Explanation:
because according to universal law of gravitation, every object attracts every other object in the universe.
according to the newton's third law, for every action there is equal and opposite reaction.
So, both the saturn and pan exerts same force on each other
But from the newton's second law we have, F = ma & a = F/m
so, from the above equation acceleration produced by pan is high compared to the acceleration produced by saturn.
Therefore, acceleration produced by saturn is lower than the acceleration produced by pan
but force exerted by saturn is equal to the force exerted by pan
So, the answer is false
Hope it helped u,
pls mark as the brainliest
^_^
The statement is false. Saturn does not exert a much greater force on the moon Pan than Pan exerts on Saturn.
What is gravitational force?Newton's law of gravitation states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.
Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.
According to Newton's third law, there is an equal and opposite response to every action. As a result, both Saturn and Pan exert the same force on one another.
But, according to Newton's second law,
F = ma
a = F/m.
As a result of the preceding equation, the acceleration generated by the pan is greater than that caused by Saturn. As a result, the acceleration generated by Saturn is less than that produced by Pan.
So that the power exerted by Saturn is equivalent to that of Pan.
Hence the statement is false.
To learn more about the gravitational force refer to the link;
https://brainly.com/question/24783651
Galileo is considered the father of modern science. Do you agree with this description? Give reasons for your answer.
Answer:
Galileo Galilei pioneered the experimental scientific method and was the first to use a refracting telescope to make important astronomical discoveries
Explanation:
Yes I agree with this. He made significant scientific discoveries that changed the way of life.
a stone of mass 6 kg is released from a height of 30 metre calculate the potential energy
Answer:
P.E = 1764 Joules
Explanation:
Given the following data;
Mass = 6kg
Height = 30m
We know that acceleration due to gravity is equal to 9.8m/s²
To find the potential energy;
Potential energy can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
[tex] P.E = mgh[/tex]
Where,
P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Substituting into the equation, we have;
P.E = 6 * 9.8 * 30
P.E = 1764 Joules